Deck 1: Equations and Inequalities

Question 1

Write the English sentence as an equation in two variables. Then graph the equation.
The y-value is one decreased by the square of the x-value.

Answer 1

D

Question 2

Choose the one alternative that best completes the statement or answers the question.
Plot the given point in a rectangular coordinate system

Answer 2

A

Question 3

Choose the one alternative that best completes the statement or answers the question.
Plot the given point in a rectangular coordinate system
(-4, -2)

Answer 3

D

Question 4

Write the English sentence as an equation in two variables. Then graph the equation.
The y-value is two more than three times the x-value.

Question 5

Choose the one alternative that best completes the statement or answers the question.
Plot the given point in a rectangular coordinate system
(3, 0)

Question 6

Choose the one alternative that best completes the statement or answers the question.
Plot the given point in a rectangular coordinate system

Question 7

Choose the one alternative that best completes the statement or answers the question.
Plot the given point in a rectangular coordinate system

Question 8

Choose the one alternative that best completes the statement or answers the question.
Plot the given point in a rectangular coordinate system

Question 9

Choose the one alternative that best completes the statement or answers the question.
Plot the given point in a rectangular coordinate system

Question 10

Choose the one alternative that best completes the statement or answers the question.
Plot the given point in a rectangular coordinate system

Question 11

Choose the one alternative that best completes the statement or answers the question.
Plot the given point in a rectangular coordinate system
(-2, 3)

Question 12

Choose the one alternative that best completes the statement or answers the question.
Plot the given point in a rectangular coordinate system

Question 13

Choose the one alternative that best completes the statement or answers the question.
Plot the given point in a rectangular coordinate system
y = x - 5

Question 14

Choose the one alternative that best completes the statement or answers the question.
Plot the given point in a rectangular coordinate system
(4, -3)

Question 15

Choose the one alternative that best completes the statement or answers the question.
Plot the given point in a rectangular coordinate system
(1, 2)

Question 16

Choose the one alternative that best completes the statement or answers the question.
Plot the given point in a rectangular coordinate system

Question 17

Choose the one alternative that best completes the statement or answers the question.
Plot the given point in a rectangular coordinate system
(0, -4) 4

Question 18

Match the correct viewing rectangle dimensions with the figure.

Question 19

Choose the one alternative that best completes the statement or answers the question.
Plot the given point in a rectangular coordinate system

Question 20

Choose the one alternative that best completes the statement or answers the question.
Plot the given point in a rectangular coordinate system
y = 3x - 1

Question 21

Use the graph to determine the x- and y-intercepts.

A)x-intercept: -1; y-intercept: -1
B)x-intercept: 1; y-intercept: -1
C)x-intercept: -1; y-intercept: 1
D)x-intercept: 1; y-intercept: 1

Question 22

Match the correct viewing rectangle dimensions with the figure.

Question 23

The table of values was generated by a graphing utility with a TABLE feature. Use the following table to solve.

A)Yes
B)No

Question 24

Use the graph to determine the x- and y-intercepts.

A)x-intercepts: 2, 1, -5; y-intercept: 2
B)x-intercept: 2; y-intercepts: -2, 1, 5
C)x-intercept: 2; y-intercepts: 2, 1, -5
D)x-intercepts: -2, 1, 5; y-intercept: 2

Question 25

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.

At what time was the temperature 72°?

A)6 p.m.
B)9 a.m. and 10 a.m.
C)9 a.m.
D)10 a.m.

Question 26

The table of values was generated by a graphing utility with a TABLE feature. Use the following table to solve.

Question 27

The table of values was generated by a graphing utility with a TABLE feature. Use the following table to solve.

Question 28

Use the graph to determine the x- and y-intercepts.

A)x-intercept: 8; y-intercepts: -2, 4
B)x-intercept: -2; y-intercepts: 4, 8
C)x-intercepts: -2, 4; y-intercept: 8
D)x-intercept: 4; y-intercept: 8

Question 29

Use the graph to determine the x- and y-intercepts.

A)y-intercept: -4
B)y-intercept: 4
C)x-intercept: 4
D)x-intercept: -4

Question 30

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.

During which hour did the temperature increase the most?

A)1 p.m. to 2 p.m.
B)10 a.m. to 11 a.m.
C)12 p.m. to 1 p.m.
D)9 a.m. to 10 a.m.

Question 31

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.

At what time was the temperature the highest?

A)11 a.m.
B)2 p.m.
C)5 p.m.
D)1 p.m.

Question 32

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.

During which two hour period did the temperature increase the most?

A)10 a.m. to 12 p.m.
B)12 p.m. to 2 p.m.
C)9 a.m. to 11 a.m.
D)10 a.m. to 11 a.m.

Question 33

Use the graph to determine the x- and y-intercepts.

A)x-intercepts: -4, 4; y-intercepts: -5, 5
B)y-intercepts: -4, 4
C)x-intercepts: -5, 5; y-intercepts: -4, 4
D)x-intercepts: -5, 5

Question 34

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.

At what time was the temperature its lowest?

A)6 p.m.
B)1 p.m.
C)4 p.m.
D)9 a.m.

Question 35

Use the graph to determine the x- and y-intercepts.

A)x-intercepts: -3, 3; y-intercept: -3
B)x-intercepts: -3, 3; y-intercept: 0
C)x-intercepts: -3, 3
D)y-intercept: -3

Question 36

Use the graph to determine the x- and y-intercepts.

Question 37

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.

What temperature was recorded at 6 p.m.?

A)73 ° F
B)76 ° F
C)77 ° F
D)75 ° F

Question 38

Match the correct viewing rectangle dimensions with the figure.

Question 39

Match the correct viewing rectangle dimensions with the figure.

Question 40

The table of values was generated by a graphing utility with a TABLE feature. Use the following table to solve.

Question 41

Match the story with the correct figure.
Mark started out by walking up a hill for 5 minutes. For the next 5 minutes he walked down a steep hill to an

Question 42

Solve and check the linear equation.

Question 43

Solve and check the linear equation.

Question 44

Find all values of x satisfying the given conditions.

Question 45

Find all values of x such that y = 0.

Question 46

Solve and check the linear equation.

Question 47

Match the story with the correct figure.
The amount of rainfall as a function of time, if the rain fell more and more softly.

Question 48

Solve and check the linear equation.

Question 49

Find all values of x such that y = 0.

Question 50

Find all values of x such that y = 0.

Question 51

Solve and check the linear equation.
10x - 2 = 28

A){4}
B){3}
C){20}
D){24}

Question 52

Find all values of x such that y = 0.

Question 53

Match the story with the correct figure.
The height of an animal as a function of time.

Question 54

Find all values of x such that y = 0.

Question 55

Solve and check the linear equation.

Question 56

Find all values of x such that y = 0.

Question 57

Find all values of x such that y = 0.

Question 58

Solve and check the linear equation.

Question 59

Solve and check the linear equation.

Question 60

Solve and check the linear equation.

Question 61

Determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
-4(x + 6)+ 165 = 5x - 9(x - 9)

A)Identity
B)Conditional equation
C)Inconsistent equation

Question 62

First, write the value(s) that make the denominator(s) zero. Then solve the equation.

Question 63

Solve the equation.

Question 64

Find all values of x satisfying the given conditions.

Question 65

First, write the value(s) that make the denominator(s) zero. Then solve the equation.

Question 66

Determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
-8x + 4(-2x - 4)= -28 - 4x

A)Identity
B)Conditional equation
C)Inconsistent equation

Question 67

Solve the equation.

Question 68

Find all values of x satisfying the given conditions.

Question 69

Solve the equation.

Question 70

Determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
7x + 7 - 8x - 9 = 6x - 7x - 5

A)Identity
B)Conditional equation
C)Inconsistent equation

Question 71

First, write the value(s) that make the denominator(s) zero. Then solve the equation.

Question 72

First, write the value(s) that make the denominator(s) zero. Then solve the equation.

Question 73

Find all values of x such that y = 0.

Question 74

Determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
4(4x - 15)= 16x - 60

A)Identity
B)Conditional equation
C)Inconsistent equation

Question 75

Find all values of x satisfying the given conditions.

Question 76

First, write the value(s) that make the denominator(s) zero. Then solve the equation.

Question 77

Find all values of x such that y = 0.

Question 78

Solve the equation.

Question 79

Determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
9x + 2x = 10x

A)Identity
B)Conditional equation
C)Inconsistent equation

Question 80

Determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
23x + 9(x + 1)= 32(x + 1)- 23

A)Identity
B)Conditional equation
C)Inconsistent equation