Free Printable Review Chapters 1-3

1.

Identify the property
a + b = b + a

a)

Identity of addtion

b)

commutative of addition

c)

associative of addition

d)

symmetric

2.

Identify the example of the

inverse property of multiplication.

a)

5 ⋅ 0 = 5

b)

5 ⋅ $\frac{1}{5}$ = 1

c)

5 - 5 = 0

d)

5 ⋅ 1 = 5

3.

Identify the property
a(b + c) = ab + ac

a)

Associative of addtion

b)

Distributive

c)

Commutative of addition

d)

Inverse

4.

Select all: Natural Numbers

a)

4.5

b)

5

c)

-2

d)

0

e)

7,652

5.

Select all: Which categories does the number zero belong to?

a)

Rational number

b)

Integer

c)

Whole number

d)

Natural number

6.

Which of the following is NOT an irrational number?

a)

$\sqrt[]{16}$

b)

5.58703...

c)

$\sqrt[]{96}$

d)

$\pi$

7.

Classify the following number: 1.01276894...

a)

Rational

b)

Irrational

8.

Solve for x.

$-2x\ =-12$

a)

-6

b)

6

c)

-4

d)

4

9.

Solve for x.

$3+x=-11$

a)

-8

b)

8

c)

-14

d)

14

10.

Solve for x.

$\frac{x}{5}=-6$

a)

11

b)

-11

c)

30

d)

-30

11.

Solve for x.

$-5x\ +\ 2\ =10x\ -28$

a)

-6

b)

6

c)

-2

d)

2

12.

Solve for x.

$2\left(x\ +1\right)\ =\ 3\left(x\ -1\right)$

a)

-5

b)

5

c)

-1

d)

1

13.

Solve for m.

$-4\left(2m-7\right)=3\left(52-4m\right)$

a)

32

b)

46

c)

-6.4

d)

-40.75

14.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

15.

Solve for x: u = 2x - 2

a)

$x\ =\ u-1$

b)

$x\ =\ \frac{2}{u}\ +2$

c)

x $x\ =\ \frac{\left(u-2\right)}{2}$

d)

$x\ =\ \frac{u}{2}+1$

16.

Solve the following Inequality.

12n\ \ge\ 84

a)

$n\ \ge72$

b)

$n\ \ge\ 7$

c)

$n\ \le\ 12$

d)

$n\ \ge\ 98$

17.

Solve the following Inequality.

5x\ \le\ 10

a)

$x\ \le\ 2$

b)

$x\ \le\ 15$

c)

$x\ \le\ 5$

d)

$x\ \ge\ 2$

18.

Which inequality is represented by the following graph

a)

x < -8

b)

x > -8

c)

x ≥ -8

d)

x ≤ -8

19.

−2|−2r − 4| = -12

a)

{3,1}

b)

{-5,1}

c)

{-3}

d)

No Solution

20.

Evaluate each expression.
| x + 9 | = -5

a)

-14

b)

-4

c)

{-14, -4}

d)

no solution

21.

Solve:
|x + 3| > 8

a)

x > 5 or x < -11

b)

-11 < x < 5

c)

x > 11 or x < -5

d)

-5 < x < 11

22.

Solve: |x - 3| < 8

a)

x > 5 or x < -11

b)

-11 < x < 5

c)

x > 11 or x < -5

d)

-5 < x < 11

23.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

24.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

25.

Write an inequality for Graph 4.

a)

-2 < x < 5

b)

x < -2 or x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

26.

Solve:

a)

A

b)

B

c)

C

d)

D

27.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-2 ≤ x ≤ 6

c)

-3 ≤ x ≤ 3

d)

1 ≤ x ≤ 3

28.

Find the slope of the line through each pair of points.

(20, 8), (9, 16)

a)

1/3

b)

5/3

c)

2/4

d)

-8/11

29.

Find the slope of the line

a)

1/2

b)

2

c)

1/3

d)

4

30.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

31.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

32.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

33.

What is the strategy for graphing point-slope form?

a)

Graph the y-intercept, then use the slope to move.

b)

Divide to find the x- and y-intercepts.

c)

Graph the given point, then move according to slope.

34.

Select all of the following equations in point-slope form.

a)

y - 2 = 5(x - 2)

b)

3x + 2y = 12

c)

y + 2 = 1/4(x + 4)

d)

y = 4x + 6

e)

2y = 5x - 7

35.

For the equation

y + 1 = −3(x - 5),

the line contains the point (5, −1), but what is the slope?

a)

−1

b)

3

c)

−3

d)

5

36.

What is the slope-intercept form of a line?

a)

Ax + By = C

b)

y = mx + b

c)

$y-y_1=m\left(x-x_1\right)$

d)

y = Ax + By

37.

What is standard form of a line?

a)

y = mx + b

b)

Ax + By = C

c)

$y-y_1=m\left(x-x_1\right)$

d)

y = Ax + By

38.

Write the standard form of the equation for the line:

y = 1/4 x + 4

a)

x + 4y = 8

b)

x - 4y = -16

c)

y = x + 16

d)

4y + x = 8

39.

Which equation in standard form represents this graph?

a)

-3x +2y = -6

b)

3x + 2y = 6

c)

-3x - 2y= 12

d)

3x - 2y = 12

40.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

41.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

42.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

43.

Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?

a)

y = 1/5x - 3

b)

y= 5x - 7

c)

y = 5x + 4

d)

y = -5x - 3

44.

Which of the following lines goes through the

point (-3, 4) and is perpendicular to y = 3/2x + 6?

a)

y = 3/2x - 6

b)

y = 2/3x + 3

c)

y = -2/3x - 2

d)

y = -2/3x + 2

45.

1. Let 𝐹 be a set of ordered pairs such that {(−3,5),(3,0),(2,2)}. Which of the following statements about the relation is true?

a)

The relation is a function because no value in the domain goes to multiple values in the range.

b)

The relation is a function because all values in the range are different.

c)

The relation is not a function because one value in the domain goes to multiple values in the range.

d)

The relation is not a function because there is an ordered pair where the domain is equal to the range.

46.

Which choice also represents the relation shown in the sets below as correct ordered pairs?

a)

{(1,2),(2,4)}

b)

{(2,1),(4,2),(6,2)}

c)

{(1,2),(2,4),(2,6)}

d)

{(2,2),(2,4),(2,6)}

47.

If 𝑓(𝑥) = 2𝑥 + 4, which of the following domain values would cause 𝑓(𝑥) = 10?

a)

x = 10

b)

x = 3

c)

x = 6

d)

x = 5

48.

Let 𝑓(𝑥) = 𝑥 − 7. Find the value of 𝑓(2).

a)

5

b)

-7

c)

7

d)

-5

49.

Let $g\left(x\right)\ =\ 2x-4$ . Find $g\left(\frac{4}{3}\right)$

(a)

50.

Let 𝑓(𝑥) = 3𝑥 − 5 and 𝑔(𝑥) = 2𝑥 + 4. Find 𝑔(0.2) − 𝑓(0.4)

(a)

51.

Do you think the graph below is or is not a function. Explain why you believe your answer is correct.

4 lines

52.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

53.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

54.

a)

Function

b)

Not a Function

55.

a)

Discrete

b)

Continuous

56.

a)

Discrete

b)

Continuous

57.

a)

Discrete

b)

Continuous

58.

a)

Discrete

b)

Continuous

59.

What is the domain of the graph?

a)

-3 ≤ x ≤ 3

b)

-2 ≤ x ≤ 3

c)

-3 ≤ x ≤ 4

d)

-3 ≤ x ≤ 4

e)

All real numbers

60.

What is the domain?

a)

-3 < y ≤ 3

b)

-4 ≤ y ≤ 5

c)

-4 ≤ x ≤ 5

d)

-3 < x ≤ 3

61.

What is the RANGE?

a)

(-∞, ∞)

b)

(-2, ∞)

c)

[-2, ∞)

d)

(-∞, 0) U (0, ∞)

62.

What is the domain?

a)

$\left(-\infty,\ -3\right]$

b)

$\left[3,\ -\infty\right)$

c)

$\left(-\infty,3\right]$

d)

$\left(-\infty,\infty\right)$

e)

None of the answer choices

63.

What is the range?

a)

[-3, 4]

b)

(-3, 4)

c)

(-3, 4]

d)

(-2, 3]

e)

[4, -3]

64.

Given f(x) = -5x - 15, find f(4).

(a)

65.

Given f(x) = x² + 3x + 1, find f(-4).

(a)

66.

Is this table a function or not a function?

a)

Function

b)

Not a Function

67.

Is this a function? Explain.

a)

Yes; it passes the horizontal line test.

b)

No; it is not a straight line.

c)

Yes; it passes the vertical line test.

d)

No; there is a line connecting the dots.

68.

What is f(1)?

a)

1

b)

5

c)

0

d)

4

69.

If f(x) = x - 5, what is the value of x when f(x) = 15?

a)

20

b)

10

c)

5

d)

0

70.

What do $a_n$ in subscript notation and $f\left(n\right)$ in function notation both mean?

a)

the final term in the sequence

b)

first term

c)

Nth term, where

n > 1

d)

previous term

71.

What do $a_{n-1}$ in subscript notation and $f\left(n-1\right)$ in function notation both mean?

a)

previous term

b)

first term

c)

common difference

d)

the sequence contains only negative numbers

72.

Sometimes sequences are described in function notation.

Given $f\left(1\right)=-32$ and $f\left(n\right)=f\left(n-1\right)+4$ , what are the first 4 terms in the sequence?

a)

4, -28, -60, -92

b)

-32, -36, -40, -44

c)

answer not here

d)

-28, -24, -20, -16

73.

Given the sequence -5, -15, -25, -35..., which recursive formula describes it?

a)

$f\left(1\right)=-5$

$f\left(n\right)=f\left(n-1\right)-10$

b)

$f\left(1\right)=-5$

$f\left(n\right)=f\left(n-1\right)+10$

c)

$f\left(-5\right)=1$

$f\left(n\right)=f\left(-5\right)-10$

74.

Given the sequence 11, 15, 19, 23..., which recursive formula describes it?

a)

$f\left(1\right)=11$

$f\left(n\right)=f\left(n-1\right)+5$

b)

$f\left(1\right)=11$

$f\left(n\right)=f\left(n-1\right)+4$

c)

$f\left(11\right)=1$

$f\left(n\right)=f\left(11\right)+4$

75.

Write the explicit formula for the sequence.

9, 5, 1, -3, ...

a)

$a_n=9+5\left(n-1\right)$

b)

$a_n=9-4\left(n-1\right)$

c)

$a_n=4+9\left(n-1\right)$

d)

$a_n=9\cdot4^{\left(n-1\right)}$

76.

Write the explicit formula for the sequence.

15, 22, 29, 36, 43, ...

a)

$a_n=15+22\left(n-1\right)$

b)

$a_n=15\cdot7^{\left(n-1\right)}$

c)

$a_n=15+7\left(n-1\right)$

d)

$a_n=29-14^{\left(n-1\right)}$

77.

Use the explicit formula to find the first four terms of the sequence.
$a_n=3+5\left(n-1\right)$

a)

3, 15, 75, 375

b)

3, 8, 13, 18

c)

5, 8, 11, 14

d)

5, 15, 45, 135

78.

What type of association does this graph have?

a)

Strong Positive

b)

Weak Negative

c)

Weak Positive

d)

Strong Negative

79.

What type of association does this scatter plot represent?

a)

Positive Linear Association

b)

Negative Linear Association

c)

No Association

80.

Estimate the correlation coefficient

a)

r = 1

b)

r = -1

c)

r ≈ -0.8

d)

r ≈ 0.8

e)

r ≈ -0.5

81.

Which scatter plot diagram shows the strongest positive correlation?

a)

b)

c)

d)

82.

Billy is in the store comparing bags of candy.

A bag that contains only 1 candy is $3. A bag that contains 2 candies is $5. A bag that contains 3 candies is $8. Lastly, a bag that contains 5 candies is $17.

Decide what the correlation coefficient of the following situation is.

a)

r = 0.99

Strong Negative

b)

r = -0.98

Strong Negative

c)

r = 0.99

Strong Positive

d)

r = -0.98

Strong Positive

83.

Causation or Association:

The hotter the temperature of the oven, the less time needed to cook a turkey.

a)

Causation

b)

Association

84.

Which pair best represents a causation relationship?

a)

Number of forward steps and Distance traveled

b)

Length of time in a store and Amount of money spent

85.

The scatter plot shows the relationship between Marvin's age and the time it took him to run a mile.

Which statement best describes the relationship between Marvin's age and the time it takes him to run a mile?

a)

As Marvin's age increased, the time it took him to run a mile decreased.

b)

As Marvin's age increased, the time it took him to run a mile increased.

c)

As Marvin's age increased, the time it took him to run a mile remains constant.

d)

There is no relationship between Marvin's age and the time it took him to run a mile.

86.

Which of these best describes the relationship of the data shown on this scatter plot?

a)

Constant relationship

b)

No relationship

c)

Negative relationship

d)

Positive relationship

87.

The table below shows the relation between the number of students in science classes and the predicted number of students in each class going on a field trip. Using the data shown, which equation could be used to predict the number of students going on the field trip?

a)

$t=-\frac{1}{2}m-3$

b)

$t=-\frac{1}{2}m+3$

c)

$t=\frac{1}{2}m+3$

d)

$t=\frac{1}{2}m-3$

88.

A delivery service company maintains several vehicles. The table summarizes the cost for auto insurance related to the number of vehicles insured.

a)

$5,950

b)

$5,500

c)

$5,200

d)

$5,050

89.

Choose the linear equation that best fit the data shown on the graph.

a)

$y=-2x+1$

b)

$y=2x+1$

c)

$y=-\frac{1}{2}x+1$

d)

$y=\frac{1}{2}x+1$

90.

Which scatter plot is most likely to have a line of best fit represented by $y=-\frac{1}{4}x+3$ ?

a)

b)

c)

d)

91.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

92.

Select the statement that best describes the line.

a)

The line is the line of best fit.

b)

The line is NOT a line of best fit because it does not pass through two points.

c)

The line is NOT a line of best fit because it does not go through the middle of the data set.

d)

The line is NOT a line of best fit because it does not go through the origin.

93.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

94.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

95.

a)

3. A 4. B

b)

3. A 4. A

c)

3. B 4. B

d)

3. B 4. A

96.

Residuals are . . .

a)

possible models not explored by the researcher

b)

variation in the response variable that is explained by the model

c)

the difference between the observed response and the values predicted by the model

d)

data collected from individuals that is not consistent with the rest of the group

97.

A scatter plot and residual plot are the same thing.

a)

True

b)

False

98.

What should a residual plot look like?

a)

Distinct Pattern

b)

Curve

c)

Random

99.

Shown is a residual plot. How many positive residuals are there?

a)

5

b)

1

c)

3

d)

9

100.

a)

This residual plot represents a linear fit.

b)

This residual plot represents a nonlinear fit.

c)

This residual plot represents no fit.

Review Chapters 1-3

Total questions: 100

Worksheet time: 3hrs 32mins

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