Free Printable Mid Chapter Review

1.

What is the average rate of change from x=0 to x=1

a)

-3

b)

3

c)

0

d)

2

2.

f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].

a)

2

b)

1/2

c)

-2

d)

-1/2

3.

What is the average rate of change of [1, 5]?

a)

-0.65

b)

-0.75

c)

3.75

d)

4

4.

Use the given function or the graph to find the average rate of change

a)

3

b)

-3

c)

3/2

d)

-1/3

5.

Solve for a: $p=\frac{w}{a}$

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

6.

Solve for x: $y=\frac{x-v}{b}$

a)

x = yb - v

b)

x = by - v

c)

x = by + v

7.

$\ u\ =\ bak\$ Solve for a

a)

$a=\frac{u}{bk}$

b)

$a\ =\ \frac{bk}{u}$

c)

$a\ =\ -\frac{bk}{u}$

d)

$a=-\frac{u}{bk}$

8.

$c+a=d+r$ solve for a

a)

$a=-d-r+c$

b)

$a=-c+d+r$

c)

$a=-r+c+d$

d)

$a=-c-d-r$

9.

Solve the formula for t. What is the 1st step?

a)

Multiply each side by t.

b)

Subtract f from each side.

c)

Divide each side by t.

d)

Add s to each side.

10.

Solve the formula for P. What is the 1st step?

a)

Divide wach side by Pt.

b)

Subtract rt from each side.

c)

Subtract pt from each side.

d)

Divide each side by rt.

11.

Which relation is a function?

a)

A

b)

B

c)

C

d)

D

12.

In which set of relations is y a function of x?

a)

{(1, 10), (1, 9), (1, 8), (1, 7)}

b)

{(2, 5), (3, 7), (2, 4),

(3, 5)}

c)

{(3, 5), (3, 6), (4, 7),

(4, 8)}

d)

{(4, 3), (5, 3), (6, 3),

(7, 3)}

13.

In which equation is y a linear function of x?

a)

y=4x-8

b)

$y=4x^2-8$

c)

y=4xy-8

d)

$y=\frac{4}{x}-8$

14.

In which of the following graphs is y a function of x?

a)

A

b)

B

c)

C

d)

D

15.

True or False? The relation is a function.

a)

True

b)

False

16.

Is the relation a function?

a)

YES! This relation passes the vertical line test.

b)

YES! This relation passes the vertical line test.

c)

NO! This relation passes the vertical line test.

d)

NO! This relation fails the vertical line test.

17.

Write the equation that represents this word problem:

Marsha gets a job that pays $15 per hour, and she started the week with $20

a)

y= 15x + 20

b)

y= 20x + 15

c)

y= 15 + 20

d)

y= 20 + 15

e)

Answer Not Here

18.

An amusement park has an entrance fee, and then there is a cost to ride each ride. The total cost (y) can be modeled by y=1.5x+20 where x is the number of rides you ride. What does the y intercept represent?

a)

Number of rides

b)

The entrance fee

c)

The cost for food

d)

The cost per ride

19.

The cost of airing a commercial on television is modeled by the function C(n)=110n+900, where n is the number of times the commercial is aired. Based on this model, which statement is true?

a)

The commercial costs $0 to produce and $110 per airing up to $900.

b)

The commercial costs $110 to produce and $900 each time it is aired.

c)

The commercial costs $900 to produce and $110 each time it is aired.

d)

The commercial costs $1010 to produce and can air an unlimited number of times.

20.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation for the total cost to rent the boat for x hours.

a)

x = 2y + 15

b)

y = 15x + 2

c)

x = 15y + 2

d)

y = 2x + 15

21.

You are visiting Baltimore, MD and a taxi company charges you a flat fee of $3.00 for using the taxi and $0.75 per mile.

Which of the following equations matches the situation?

a)

y = 0.75x + 3

b)

y = 3x + 0.75

c)

y = 3x - 0.75

d)

y = 0.75x - 3

22.

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

a)

y = 20x + 5

b)

y = 5x +20

c)

y = 20x - 5

d)

y = 5x - 20

23.

Kevin has 68 chicken wings on his plate originally. He eats 3 wings per minute.

a)

y=68x+3

b)

y=68x-3

c)

y=-3x+68

d)

y=-3x-68

24.

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation. After how many months will the total cost be $58?

a)

7 months

b)

6 months

c)

5 months

d)

4 months

25.

Janice is saving money for retirement. The equation y = 500x + 12,000 models her retirement savings where y is the total she has saved in dollars, and x is the number of months.

Interpret the y-intercept.

a)

Janice started with $500 in her account

b)

Janice started with $12,000 in her account

c)

Each month, Janice saves an additional $500

d)

Each month, Janice saves an additional $12,000

26.

To start our Upper F hall lemonade stand, we spend $30 on lemonade mix and supplies, and we charge $1.50 for each cup sold. Interpret the y-intercept of the scenario.

a)

# of cups sold.

b)

The price per cup.

c)

The initial amount spent on supplies.

d)

Amount of money earned in profit.

27.

Are these two lines parallel, perpendicular or neither?

y=-\frac{1}{3}x\ -5

y=\frac{1}{3}x+2

a)

Parallel

b)

Perpendicular

c)

Neither

28.

Parallel lines have _________________ slope.

a)

The Same

b)

Opposite Reciprocal

29.

Perpendicular lines have _________________ slope.

a)

The Same

b)

Opposite Reciprocal

30.

Are the given lines parallel? How do you know?

y = 1, and y = 5

a)

No, they do not have the same slopes.

b)

No, their slopes are not opposite reciprocals.

c)

Yes, their slopes are opposite reciprocals.

d)

Yes, their slopes are the same.

31.

What is the slope of a line parallel to the line whose equation is: -2x + y = - 7?

a)

-2

b)

1/2

c)

-1/2

d)

2

32.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

33.

Select the line that is perpendicular to

y = 5x - 10

a)

y = 5x - 3

b)

y = 1/5x - 3

c)

y = -1/5x + 4

d)

y = -5x + 4

34.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

35.

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

a)

$y=\frac{1}{5}x-3$

b)

$y=5x-7$

c)

$y=5x+4$

d)

$y=-5x-3$

36.

Are these lines parallel?
y = 12x + 4
y = 12x +14

a)

YES

b)

NO

37.

Write an equation of a line PARALLEL to $y=-6x-1$ and goes through (1, 7).

a)

$y=-6x+13$

b)

$y=-6x+2$

c)

$y=6x+10$

d)

$y=-6x+15$

38.

Write an equation of a line PERPENDICULAR to

y = 2x + 3 through (-2, 4)

a)

$y=-\frac{3}{2}x+3$

b)

$y=\frac{3}{2}x+3$

c)

$y=-\frac{1}{2}x+3$

d)

$y=\frac{1}{2}x-3/2$

39.

Determine the equation of the line that is PERPENDICULAR to the line 3x + 12y = 1 and contains the point (-2, 6).

a)

y = 4x + 6

b)

y = 4x + 14

c)

y = 3x + 12

d)

y = -1/4x + 11/2

40.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=1/6x +25/6

b)

y = 1/6x + 4

c)

y = -6x - 2

d)

y = -6x + 4

41.

Find the average rate of change over the given interval.

a)

4

b)

7

c)

7/3

d)

3/7

42.

f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].

a)

2

b)

1/2

c)

-2

d)

-1/2

43.

What is Mrs. Gordon's rate from 0 to 2 seconds?

a)

2.5 feet per second

b)

.4 feet per second

c)

5 feet per second

d)

.2 feet per second

44.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

45.

Solve:
10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

46.

Solve:
8w - 8 = -4w + 16

a)

8

b)

16

c)

24

d)

2

47.

Solve:
7w + 5 = 3w - 15

a)

5

b)

-2

c)

2

d)

-5

48.

6(6v +6) - 5 = 1 + 6v

a)

1

b)

-1

c)

no solution

d)

all real numbers

49.

$96=6\left(k+8\right)$

a)

$12$

b)

$8$

c)

$-4$

d)

$9$

50.

6 ( 2n + 5 ) = 66

a)

3

b)

5.08

c)

8

d)

432

Mid Chapter Review

Total questions: 50

Worksheet time: 7hrs 5mins

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