Problems

Skill(s) and Standard(s)

1 – 4

Plot a point in a coordinate plane

Identify the quadrant of a point

Identify points that follow a pattern

5 – 8

Identify the coordinates of a point

Identify the quadrant of a point

9 – 14

Determine an appropriate viewing window

15 – 20

Identify the viewing window used for a diagram

21 – 38

Find the distance between two points

39 – 44

Verify that a triangle is right, given the coordinates of the vertices

45 – 48

Find all points a given distance from a given point

49 – 58

Find the coordinates of a segment midpoint

Problems

Skill(s) and Standard(s)

1 – 6

Determine if a point is on the graph of an equation

7 – 14

Find the axis intercepts of a graph

15 – 18

Solve for missing information about points and graphs (coordinates or equation parameters)

19 – 30

Find the axis intercepts of a graph

Sketch the graph of an equation by hand

31 – 38

Sketch the graph of an equation using technology

Problems

Skill(s) and Standard(s)

1 – 10

Plot points symmetric to a given point

11 – 18

Determine the symmetry of a graph

19 – 22

Use symmetry to complete a graph

23 – 34

Determine the symmetry of a graph

35 – 38

Sketch the graph of an equation by hand

39 – 52

Find the center of a circle

Find the radius of a circle

Write the equation of a circle

53 – 62

Find the center of a circle

Find the radius of a circle

Sketch the graph of a circle

63 – 68

Write the equation of a circle given some information about the circle

69 – 72

Match the equation of a circle with its graph

73 – 76

Write the equation of a circle given its graph

Problems

Skill(s) and Standard(s)

1 – 12

Solve equations graphically

13 – 30

Solve equations algebraically: PC-2.4

31 – 46

Solve equations by factoring: EA-6.4

47 – 62

Find all real solutions to a quadratic equation

63 – 88

Find all real solutions to a radical equation

89 – 104

Find all solutions to an absolute value equation

107 – 110

Solve an equation in terms of its parameters

111 – 114

Solve equations for an indicated variable: EA-3.7

115

Solve word problems

116

Determine the mistake in a solution

117

Identify equations that are equivalent

Problems

Skill(s) and Standard(s)

1 – 6

Write an inequality in interval notation

7 – 12

Perform algebraic operations on an inequality

13 – 20

Write an inequality in interval notation

21 – 28

Convert from interval notation to an inequality

29 – 41

Determine the correct inequality symbol

43 – 92

Solve inequalities

93 – 96

Convert from words to an inequality involving absolute value

Solve inequalities

97 – 100

Convert from words to an inequality involving absolute value

Solve inequalities

Solve word problems

101 – 114

Solve word problems involving inequalities

Problems

1 – 12

Determine the slope of a line

13 – 18

Write the equation of the line with a given slope and a given point: EA-4.2

21 – 26

Find coordinates of points on a line given the slope and one point on the line

27 – 34

Determine the equation of a line given the graph

35 – 58

Write the equation of a line given some information about the line

59 – 78

Determine the slope and y -intercept of a line

81 – 84

Match the equation of a line with its graph

85 – 88

Determine the equation of a line given its graph

89 – 95

Solve word problems involving lines

96 – 104

Extension Problems

Problems

Skill(s) and Standard(s)

1 – 12

Determine whether a relation is a function: EA-3.1

Identify the domain of a function: PC-2.5

Identify the range of a function: PC-2.5

13 – 20

Evaluate a function

Substitute an expression into a function

21 – 32

Determine if an equation represents a function: EA-3.1

33 – 46

Determine the domain of a function: PC-2.5

47, 48

Various questions about a graph of a relation

49 – 60

Determine if a graph represents a function: EA-3.1

Determine the domain of a function: PC-2.5

Determine the range of a function: PC-2.5

61 – 66

Various questions about functions

67 – 72

Use functions to solve equations

73 – 78

Simplify the difference quotient for a function

85, 86

Use a graphing calculator to answer questions about functions

87 – 90

Write functions from verbal descriptions

91 – 94

Answer various questions about a given function

95

Extension Problem

Problems

Skill(s) and Standard(s)

1 – 8

Sketch a line

11, 12

Solve word problems involving lines

13 – 18

Determine whether a scatterplot shows a linear relationship

19 – 24

Construct a scatterplot

Find the Least Squares Regression Line: EA-4.4

25 – 30

Use Linear Regression to solve word problems

31 – 35

Solve word problems involving direct proportions

Problems

Skill(s) and Standard(s)

1 – 10

Answer various questions about a graph

11 – 20

Find the axis intercepts of a graph

Find the domain and range of a graph: PC-2.5, EA-3.4

Determine intervals where a graph is increasing and decreasing: PC-2.7

Determine whether a graph is even, odd, or neither: PC-2.6

21 – 24

Find all local maxima of a graph: IA-4.2

Find all local minima of a graph: IA-4.2

25 – 36

Find the average rate of change of a function over an interval

Find the equation of the secant line for a function over an interval

37 – 48

Determine whether a graph is even, odd, or neither: PC-2.6

49, 50

Extension Questions

51 – 58

Determine intervals where a graph is increasing and decreasing: PC-2.7

Find all local maxima of a function: IA-4.2

Find all local minima of a function: IA-4.2

59 – 66

Find the equation for the slope of the secant line of a function over a given interval with a fixed endpoint

Find the slope of the secant line of a function over an interval

Problems

Skill(s) and Standard(s)

1 – 8

Match the graph to the description of a basic function

9 – 14

Sketch the graph of a basic function: PC-2.1

15 – 18

Evaluate a piecewise defined function at a given point

19 – 30

Find the domain of a function: PC-2.5, IA-2.10

Sketch the graph of a piecewise defined function: IA-2.9

Find the axis intercepts of a piecewise defined function

Find the range of a piecewise defined function: EA-3.4, IA-2.10

31 – 34

Write the equation of a piecewise defined function, given its graph

35 – 38

Solve word problems involving piecewise defined functions

40 – 42

Solve word problems involving piecewise defined functions

Problems

Skill(s) and Standard(s)

1 – 16

Match the graph of a transformed function to its equation: PC-2.3

17 – 24

Write the equation of a transformed quadratic function

25 – 28

Write the equation of a transformed radical function

29 – 32

Determine whether a point lies on a transformed function

33 – 62

Sketch the graph of a function using transformations of basic functions: PC-2.2

63 – 68

Sketch the graph of a transformed function, given only the graph of the original function: PC-2.2

71, 72

Sketch the graph of a transformed function, given only the graph of the original function: PC-2.2

73 – 78

Sketch the graph of a function using transformations of basic functions: PC-2.2

79, 80

Extension Problems

81 – 83

Solve word problems about transformations of given functions: PC-2.4

Problems

Skill(s) and Standard(s)

1 – 10

Find the equation of an operation on two functions: IA-2.5

11, 12

Given the result of an operation of two functions and one of the functions, find the other function

13 – 22

Evaluate a composition of functions at a given value

23 – 30

Find the domain of a composition of functions: PC-2.5

31 – 54

Find the equation of a composition of functions: IA-2.6

55 – 60

Decompose a function into two functions

61, 62

Find the equation of a composition of functions: IA-2.6

63, 64

Solve for the missing constant, given two functions and information about their composition

65 – 72

Solve word problems about compositions of and operations on functions

73 – 76

Write the equation of a composition of or operation on functions from a word problem: PC-1.5

Problems

Skill(s) and Standard(s)

1 – 26

Solve optimization word problems: PC-2.4

Problems

Skill(s) and Standard(s)

1 – 8

Match the equation of the quadratic to its graph: PC-2.1

9 – 24

Sketch the graph of a quadratic using transformations: PC-2.2, PC-3.1

25 – 42

Sketch the graph of a quadratic: PC-2.1, PC-2.2, PC-3.1

Find the vertex of a quadratic

Find the axis of symmetry of a quadratic

Find the x-intercepts of a graph

Find the y-intercept of a graph

43 – 48

Determine the equation of a quadratic given its graph

53 – 64

Find the vertex of a quadratic

65 – 84

Solve word problems involving quadratic functions: PC-1.3

Problems

Skill(s) and Standard(s)

1 – 15

Use transformations to sketch the graph of a power function: PC-2.2

Problems

Skill(s) and Standard(s)

1 – 10

Identify a function as being polynomial

Determine the degree of a polynomial

11 – 18

Write a polynomial with a given degree and set of zeros

19 – 30

Determine the real zeros of a polynomial: PC-3.3, PC-3.6

Determine the multiplicity of a zero of a polynomial

Determine the graphic behavior of a polynomial near a zero (touch, cross)

Find a power function that models the end behavior of a polynomial

31 – 54

Find the x-intercepts of a graph

Find the y-intercept of a graph

Determine the graphic behavior of a polynomial near a zero (touch, cross)

Find a power function that models the end behavior of a polynomial

Determine the number of turns in a graph of a polynomial

55 – 64

Find the x-intercepts of a graph

Find the y-intercept of a graph

Find a power function that models the end behavior of a polynomial

Determine the number of turns in a graph of a polynomial

65 – 68

Write the equation of a polynomial given a sketch of its graph: PC-2.3

Problems

Skill(s) and Standard(s)

1 – 12

Determine the domain of a rational function: PC-2.5, PC-3.4

13 – 22

Determine the domain of a rational function: PC-2.5, PC-3.4

Determine the range of a rational function: PC-2.5, PC-3.4

Determine the axis intercepts of a rational function: PC-3.4

Identify any horizontal asymptotes of a rational function: PC-3.4

Identify any vertical asymptotes of a rational function: PC-3.4

Identify any oblique asymptotes of a rational function: PC-3.4

23 – 34

Graph a rational function using transformations

35 – 46

Identify any horizontal asymptotes of a rational function: PC-3.4

Identify any vertical asymptotes of a rational function: PC-3.4

Identify any oblique asymptotes of a rational function: PC-3.4

Problems

Skill(s) and Standard(s)

1 – 38

Sketch the graph of a rational function: PC-2.1, PC-2.2, PC-3.1

39 – 42

Write the equation of a rational function given its graph: PC-2.3

43, 44

Write the equation of a rational function, given some defining characteristics of the function

45 – 54

Solve word problems involving rational functions: PC-1.3, PC-3.8, PC-3.9

Problems

Skill(s) and Standard(s)

1 – 58

Solve polynomial inequalities: PC-3.10, PC-3.11

Solve rational inequalities

59, 60

Solve word problems involving polynomial inequalities: PC-1.3, PC-3.5, PC-3.10, PC-3.11

61 – 64

Find the domain of a radical function: PC-2.5

65 – 70

Solve word problems involving polynomial inequalities: PC-1.3, PC-3.5, PC-3.10, PC-3.11

Problems

Skill(s) and Standard(s)

1 – 10

Determine if a binomial is a factor of a polynomial

11 – 22

Determine the maximum number of real zeros of a polynomial

Determine the potential number(s) of real zeros of a polynomial: PC-3.2

29 – 46

Determine the real zeros of a polynomial: PC-3.3, PC-3.6

Factor a polynomial across the real numbers

47 – 52

Determine the real zeros of a polynomial using technology: PC-2.4, PC-3.3 PC-3.7

53 – 62

Find all real zeros to a polynomial equation: PC-2.4, PC-3.3, PC-3.6, PC-3.7

69, 70

Solve word problems involving polynomials: PC-1.3, PC-3.5

71, 72

Determine the coefficient that makes a given binomial a factor of a given polynomial

73, 74

Find the remainder when a polynomial is divided by a binomial

Problems

Skill(s) and Standard(s)

1 – 16

Write the equation of a polynomial with given zeros and degree

17 – 34

Determine all complex zeros of a polynomial: PC-2.4, PC-3.3

Problems

Skill(s) and Standard(s)

5 – 8

Determine if a relation is a function

9 – 14

Determine if a function is one to one: PC-2.8

15 – 20

Draw the graph of the inverse function, given the graph of the function

21 – 30

Show that two functions are inverses

31 – 54

Find the inverse of a function: PC-2.9

Find the domain of the inverse function: PC-2.5

Find the range of the inverse function: PC-2.5

55, 56

Find the inverse of a function: PC-2.9

57, 58

Extension Problems

59, 60

Find a restriction on the domain of a function so that it becomes one to one

61

Show that two functions are inverses

62, 63

Find the inverse of a function PC-2.9

64

Extension Problem

Problems

Skill(s) and Standard(s)

11 – 18

Match the equation to the graph of an exponential function: PC-2.3

19 – 34

Use transformations to graph exponential functions: PC-2.1, PC-2.2, PC-4.3

37 – 42

Determine the equation of an exponential function, given its graph: PC-2.3

43 – 60

Solve exponential equations: PC-2.4, PC-4.5, PC-4.8, PC-4.9

61 – 74

Solve exponential word problems: PC-1.3, PC-2.4, PC-4.5, PC-4.6, PC-4.8, PC-4.9

77 – 80

Extension Problems

Problems

Skill(s) and Standard(s)

1 – 24

Convert between exponential and logarithmic forms

25 – 36

Evaluate logarithmic expressions

37 – 46

Find the domain of a logarithmic function: PC-2.5, PC-4.4

47 – 50

Evaluate logarithmic expressions

51, 52

Extension Problems

53 – 60

Match the equation of a logarithmic function to its graph: PC-2.3

61 – 84

Use transformations to graph logarithmic functions: PC-2.1, PC-2.2

85 – 104

Solve logarithmic equations: PC-2.4, PC-4.7, PC-4.10, PC-4.11

105 – 108

Graph exponential functions: PC-2.1, PC-2.2

Find the domain of an exponential function: PC-2.5, PC-4.3

Find the range of an exponential function: PC-2.5, PC-4.3

Find the inverse function of an exponential function: PC-2.9

Find the domain of a logarithmic function: PC-2.5, PC-4.4

Find the range of a logarithmic function: PC-2.5, PC-4.4

109 – 122

Solve word problems involving exponential functions: PC-1.3, PC-2.4, PC-4.5, PC-4.6, PC-4.8, PC-4.9

Solve word problems involving logarithmic functions: PC-1.3, PC-2.4, PC-4.7, PC-4.10, PC-4.11

Problems

Skill(s) and Standard(s)

1 – 16

Use the properties of logarithms to evaluate expressions

Use the properties of exponentials to evaluate expressions

17 – 24

Use the properties of logarithms to rewrite logarithmic expressions

25 – 44

Use the properties of logarithms to expand logarithmic expressions

45 – 58

Use the properties of logarithms to collapse logarithmic expressions

59, 60

Use the properties of logarithms to write exponential expressions as linear expressions

61 – 68

Use the Change of Base formula to evaluate logarithmic expressions

69 – 74

Use the Change of Base formula to graph logarithmic functions: PC-2.1, PC-2.2

75 – 84

Solve logarithmic equations: PC-2.4, PC-4.7, PC-4.10, PC-4.11

85 – 88

Use the properties of logarithms to evaluate logarithmic expressions

89 – 98

Use the properties of logarithms to verify equations

Problems

Skill(s) and Standard(s)

1 – 60

Solve equations involving logarithms and exponentials: PC-2.4, PC-4.5, PC-4.7, PC-4.8, PC-4.9, PC-4.10, PC-4.11

Problems

Skill(s) and Standard(s)

1 – 10

Determine the final value of compound interest investments

11 – 20

Find the principal required for a given final value of a compound interest investment

21

Find the effective interest rate, given the APR

22

Find the APR, given the effective interest rate

23, 24

Find the APR required for a given final value of a compound interest investment

25 – 28

Determine which investment plan will give a higher final value

29 – 48

Solve word problems involving compound interest: PC-1.3, PC-2.4, PC-4.7, PC-4.8, PC-4.9, PC-4.10, PC-4.11

Problems

Skill(s) and Standard(s)

1 – 12

Solve exponential growth and decay word problems: PC-1.3, PC-2.4, PC-4.5, PC-4.6, PC-4.8, PC-4.9

17 – 25

Solve exponential growth and decay word problems: PC-1.3, PC-2.4, PC-4.5, PC-4.6, PC-4.8, PC-4.9

Problems

Skill(s) and Standard(s)

13 – 24

Convert an angle from degrees to radians: PC-5.2

25 – 36

Convert an angle from radians to degrees: PC-5.2

37 – 44

Given two of the radius, central angle and arc length, solve for the other piece

45 – 52

Given two of the radius, central angle and sector area, solve for the other piece

53 – 56

Given the radius and central angle, find the arc length and sector area

57 – 62

Convert an angle from degrees to radians: PC-5.2

63 – 68

Convert an angle from radians to degrees: PC-5.2

69 – 74

Convert an angle from DMS form to decimal form

75 – 80

Convert an angle from decimal form to DMS form

81 – 103

Solve word problems involving arc length and sector area

Problems

Skill(s) and Standard(s)

1 – 8

Evaluate trigonometric functions based on a point in space: PC-5.6

9 – 18

Evaluate trigonometric functions of special angles: PC-5.6

19 – 38

Evaluate expressions with trigonometric functions of special angles: PC-5.6

39 – 56

Evaluate trigonometric functions of special angles: PC-5.6

57 – 72

Evaluate trigonometric functions of any angle: PC-5.6

73 – 82

Evaluate trigonometric functions based on a point in space: PC-5.6

83 – 90

Evaluate trigonometric functions using angle and function relationships: PC-5.6

91 – 102

Evaluate expressions with trigonometric functions of special angles: PC-5.6

103 – 104

Evaluate expressions with trigonometric functions of any angle: PC-5.6

105 – 111

Solve word problems involving trigonometric functions

Problems

Skill(s) and Standard(s)

1 – 16

Use the periodic properties to evaluate trigonometric functions

17 – 22

Determine the quadrant in which an angle lies, given the signs of two trigonometric functions

25 – 32

Find the value of the four other trigonometric function, given the values of two: PC-5.6

33 – 48

Find the value of the five other trigonometric functions, given the value of one and information about the location of the angle: PC-5.6

49 – 66

Use the even-odd properties to evaluate trigonometric functions: PC-5.6

67 – 78

Use properties of trigonometric functions to evaluate expressions involving trigonometric functions: PC-5.6

79 – 82

Use the periodic properties to evaluate expressions involving trigonometric functions: PC-5.6

83, 84

Extension Problems

85 – 90

Determine the domain of a trigonometric function: PC-2.5, PC-5.5

91 – 96

Determine the range of a trigonometric function: PC-2.5, PC-5.5

97 – 102

Determine whether a trigonometric function is even, odd or neither: PC-2.6

103 – 108

Use properties of trigonometric functions to evaluate expressions involving trigonometric functions: PC-5.6

109

Solve word problems involving trigonometric functions

Problems

Skill(s) and Standard(s)

11, 12

Match the graph to the equation – Trigonometric Functions

13 – 28

Use transformations to graph trigonometric functions: PC-2.2

29 – 38

Determine the amplitude and period of trigonometric functions

39 – 52

Match the graph to the equation – Trigonometric Functions

53 – 62

Use transformations to graph trigonometric functions: PC-2.2

63 – 66

Write the equation of the sine function with a given amplitude and period

67 – 78

Write the equation of the sine function from a given graph: PC-2.3

79 – 84

Solve word problems involving trigonometric functions

85, 86

Use transformations to graph trigonometric functions: PC-2.2

Problems

Skill(s) and Standard(s)

11 - 14

Match the graph to the equation – Trigonometric Functions

15 – 34

Use transformations to graph trigonometric functions: PC-2.2

35

Solve word problems involving trigonometric functions

Problems

Skill(s) and Standard(s)

1 – 12

Determine the amplitude, period and phase shift of a trigonometric function from its equation

Use transformations to graph trigonometric functions: PC-2.2

17, 18

Solve word problems involving trigonometric functions

Problems

Skill(s) and Standard(s)

1 – 12

Evaluate expressions involving inverse trigonometric functions (without calculator): PC-5.6

13 – 24

Evaluate expressions involving inverse trigonometric functions (with calculator): PC-5.6

25 – 32

Evaluate expressions involving trigonometric functions and their inverses (without calculator): PC-5.6

33 – 44

Extension Problems

45 – 50

Evaluate expressions involving trigonometric functions and their inverses (with calculator): PC-5.6

Problems

Skill(s) and Standard(s)

1 – 28

Evaluate expressions involving trigonometric functions and their inverses (without calculator): PC-5.6

29 – 36

Evaluate expressions involving inverse trigonometric functions (without calculator): PC-5.6

37 – 48

Evaluate expressions involving inverse trigonometric functions (with calculator): PC-5.6

Problems

Skill(s) and Standard(s)

1 – 80

Verify trigonometric identities: PC-5.14

Problems

Skill(s) and Standard(s)

1 – 30

Use sum/difference identities to evaluate trigonometric expressions (without calculator)

31 – 56

Verify trigonometric identities involving sum/difference identities: PC-5.14

57 – 68

Evaluate expressions involving trigonometric functions and their inverses using sum/difference identities (without calculator): PC-5.6

69 – 74

Simplify expressions involving trigonometric functions and their inverses using sum/difference identities

Problems

Skill(s) and Standard(s)

1 – 12

Use double/half angle identities to evaluate trigonometric expressions (without calculator)

13 – 22

Use half angle identities to evaluate trigonometric expressions (without calculator)

29 – 50

Verify trigonometric identities involving double/half angle identities: PC-5.14

51 – 62

Use double/half angle identities to evaluate expressions involving trigonometric functions and their inverses (without calculator)

Problems

Skill(s) and Standard(s)

1 – 10

Use product to sum formulas to reduce expressions

11 – 18

Use sum to product formulas to reduce expressions

19 – 36

Verify trigonometric identities involving sum to product and product to sum identities: PC-5.14

Problems

Skill(s) and Standard(s)

1 – 10

Find general solutions to trigonometric equations

11 – 34

Find solutions to trigonometric equations on a specified interval (without calculator): PC-5.10

35 – 42

Find solutions to trigonometric equations on a specified interval (with calculator): PC-5.11

Problems

Skill(s) and Standard(s)

1 – 38

Find solutions to trigonometric equations on a specified interval (without calculator): PC-5.10

39 – 44

Find solutions to trigonometric equations on a specified interval (with calculator): PC-5.11

45 – 56

Find general solutions to trigonometric equations (with calculator): PC-5.10

57(a)(c)

Find solutions to trigonometric equations on a specified interval (without calculator): PC-5.10

Find the maximum value of an equation involving trigonometric functions (with calculator)

58(a)(c)

Find solutions to trigonometric equations on a specified interval (without calculator): PC-5.10

Find the maximum value of an equation involving trigonometric functions (with calculator)

Problems

Skill(s) and Standard(s)

1 – 10

Solve right triangles

11 – 20

Evaluate expressions involving trigonometric functions (without calculator)

21 – 40

Solve right triangles

41 – 63

Use right triangles to solve word problems: PC-1.3, PC-5.8

Problems

Skill(s) and Standard(s)

1 – 28

Use the Law of Sines to solve triangles: PC-5.12

29 – 47

Use the Law of Sines to solve word problems: PC-1.3, PC-5.8, PC-5.12

Problems

Skill(s) and Standard(s)

1 – 24

Use the Law of Cosines to solve triangles: PC-5.12

Use the Law of Sines to solve triangles: PC-5.12

25 – 34

Use the Law of Cosines to solve word problems: PC-1.3, PC-5.8, PC-5.12

Use the Law of Sines to solve word problems: PC-1.3, PC-5.8, PC-5.12

Problems

Skill(s) and Standard(s)

1 – 23

Find the area of a triangle: PC-5.9

25 – 30

Solve word problems involving the area of a triangle: PC-1.3, PC-5.8, PC-5.9

Problems

Skill(s) and Standard(s)

1 – 4

Write the equation of simple harmonic motion: PC-5.7

9 – 16

Use the equation of simple harmonic motion to answer questions about the motion: PC-1.5

23 – 28

Use the equation of damped harmonic motion to answer questions about the motion: PC-1.5

Problems

Skill(s) and Standard(s)

1 – 8

Match polar coordinates to the graph

9 – 20

Plot polar coordinates: PC-5.3

21 – 28

Give alternate coordinates for a point given in polar coordinates

29 – 44

Convert from polar to rectangular coordinates

45 – 56

Convert from rectangular to polar coordinates

57 – 64

Convert an equation from rectangular to polar coordinates

65 – 72

Convert an equation from polar to rectangular coordinates

Problems

Skill(s) and Standard(s)

1 – 16

Convert an equation from polar to rectangular coordinates

Graph polar equations: PC-5.3

17 – 30

Match the polar equation to the graph

31 – 64

Graph polar equations: PC-5.3

Problems

Skill(s) and Standard(s)

1 – 12

Plot complex numbers in the complex plane

13 – 22

Convert complex numbers from polar to rectangular form

23 – 30

Multiply complex numbers

Divide complex numbers

31 – 42

Find powers of complex numbers

43 – 50

Find roots of complex numbers

Problems

Skill(s) and Standard(s)

1 – 8

Graph linear combinations of given vectors

9 – 16

Determine whether a statement about given vectors is true or false

17, 18

Find the norm of scalar multiple of a vector with a given norm

19 – 26

Write vectors given with initial and terminal points as linear combinations of orthogonal unit vectors

27 – 32

Find the norm of a vector

33 – 38

Find linear combinations of given vectors

Find the norm of linear combinations of given vectors

39 – 44

Find a unit vector in the same direction as a given vector

49 – 54

Write vectors given with magnitude and direction as linear combinations of orthogonal unit vectors

55 – 58

Solve word problems involving vectors: PC-1.3

Problems

Skill(s) and Standard(s)

1 – 10

Find the dot product of two vectors

Determine the angle between two vectors

Determine if two vectors are parallel or orthogonal

11, 12

Solve for the missing parameter so that two vectors are orthogonal

19 – 22

Solve word problems involving vectors: PC-1.3

25 – 28

Solve word problems involving vectors: PC-1.3

Problems

Skill(s) and Standard(s)

9 – 14

Find the distance between two points

21 – 26

Write vectors given with initial and terminal points as linear combinations of orthogonal unit vectors

27 – 32

Find the norm of a vector

33 – 38

Find linear combinations of given vectors

Find the norm of linear combinations of given vectors

39 – 44

Find a unit vector in the same direction as a given vector

45 – 52

Find the dot product of two vectors

Determine the angle between two vectors

53 – 60

Find the direction angles of a vector in three space

Problems

Skill(s) and Standard(s)

1 – 8

Find the determinant of a 3×3 matrix

9 – 16

Find the cross product of two vectors

17 – 34

Find the cross product of expressions involving vectors

35 – 38

Find a vector orthogonal to two given vectors

39 – 46

Find the area of a parallelogram