Free Printable Unit 4 Review

1.

Cole is driving at a constant speed. After 1.4 hours, he has driven a total of 70 miles. How far will he be after 2 hours?

a)

100 miles

b)

140 miles

c)

20 miles

d)

90 miles

2.

Convert 44 pounds per 8 boxes into a unit rate.

a)

352 pounds per box

b)

5.5 pounds per box

c)

36 pounds per box

d)

.22 pounds per box

3.

How many centimeters are there in 5 feet if there are 2.54 cm per inch?

a)

152.4 cm

b)

30.48 cm

c)

7.62 cm

d)

12.7 cm

4.

For the linear function g(x) = -2x + 7, which of the following is true?

a)

It has a slope of -2 and a y-intercept of 7

b)

It has a slope of -2x and a y-intercept of 7

c)

It has a slope of 7 and a y-intercept of -2x

d)

It has a slope of 7 and a y-intercept of -2

5.

Which of the following represents the average rate of change of the function

f\left(x\right)=\ \frac{5}{2}x\ +\ 3

over ther interval

-2\le x\le8?

a)

$\frac{9}{7}$

b)

$\frac{5}{4}$

c)

$\frac{2}{5}$

d)

$\frac{5}{2}$

6.

Which of the following is the equation of a line whose slope is -1 and passes through the point (-2, 8)?

a)

y = -2x + 8

b)

y = 8x - 2

c)

y = -x + 10

d)

y = -x + 6

7.

Which of the following is true about the linear function 2y + x = 14?

a)

It has a slope of 2 and a y-intercept of 14

b)

$It\ has\ a\ slope\ of\ \frac{-1}{2}\ and\ a\ y-intercept\ of\ 14$

c)

It has a slope of -2 and a y-intercept of 7

d)

$It\ has\ a\ slope\ of\ \frac{-1}{2}and\ a\ y-intercept\ of\ 7$

8.

For the line 3y - 6x = 12, for every unit increase in x, which of the following is true?

a)

y decreases by 6

b)

y increases by 2

c)

y decreases by 3

d)

y increases by 12

9.

Find the equation of the line that passes through (1,7) and (4,22) in y=mx + b form.

a)

y = 5x + 2

b)

y = 1/5 x + 2

c)

y = 5x + 7

d)

y = 1/5x + 7

10.

Drew is walking away from the school at a rate of 5 feet per second. If she starts at a distance of 6 feet from the school, which of the following gives her distance, d, from the school after walking for t seconds?

a)

D(t) = 5t + 6

b)

D(t) = 6/5 t

c)

D(t) = 6t + 5

d)

D(t) = -6t + 5

11.

Water is building up in Katie's bathtub. After 2 minutes there are 15 gallons of water, and after 5 minutes there are 33 gallons of water. What is the average rate at which the water is entering the bathtub from t = 2 to t = 5 minuts?

a)

15 gallons per minute

b)

6 gallons per minute

c)

11 gallons per minute

d)

3 gallons per minute

12.

Which of the following equations represents the vertical line that passes through the point (5, -2)?

a)

y = -2x + 5

b)

x = 5

c)

y = 5x - 2

d)

y = -2

13.

For the function f(x) = |x - 4| + 7, which of the following is the value of f(2)?

a)

9

b)

-2

c)

5

d)

13

14.

Given the function f(x) = |x + 4|, over what interval is f(x) always increasing?

a)

-6 < x < -3

b)

-2 < x < 1

c)

-4 < x < 0

d)

-5 < x < 2

15.

Which of the following points lies on the graph of y = 2x - 7?

a)

(1,-5)

b)

(5,5)

c)

(2,0)

d)

(4,3)

16.

Which point does NOT lie in the solution set of the inequality y <2x + 9?

a)

(1,10)

b)

(-1, 3)

c)

(4, 17)

d)

(2, 11)

17.

Which of the following linear inequalities is shown?

a)

$y\ <\frac{3}{2}x+1$

b)

$y\ \le\ \frac{3}{2}x+1$

c)

$y>\frac{3}{2}x+1$

d)

$y\ge\frac{3}{2}x+1$

18.

At a local farm stand, Jordan buys 8 apples for $5. Determine how much it would cost Kayla to buy 20 apples.

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19.

A bathtub contains 12.5 cubic feet of water. Water drains out of the tub at a rate of 3.5 gallons per minute. Calculate how long it will take to empty, to the nearest minute, given that there are 7.5 gallons of water per cubic foot. SHOW YOUR WORK.

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20.

Consider the linear function f(x) show on the graph.

a) Evaluate f(-3) and f(1). What 2 coordinate points do these functions values correspond to?

b) Calculate the average rate of change of the function from x = -3 to x = 1. This quantity is also known as what?

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21.

What is the equation of this line in slope-intercept form?

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22.

Identify the slope and y-intercept of the linear equation 4y - 6x = 8.

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23.

Find the equation of the line that passes through (-1,-8) and (4,7).

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24.

Madison has $420 in her savings account at the beginning of the year. She places $10 in her account each week.

Use this information to write a linear function, using s for savings and w for the number of weeks.

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25.

Given the same scenario: Madison has $420 in her savings account at the beginning of the year. She places $10 in her account each week.

If Madison saves for exactly one year, what is the range in her savings over the year? Show how you arrived at your answer.

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26.

On the graph paper provided, graph the following and state which are actual functions.

a) x = 2

b) y = |x + 2| - 1

c) y > x + 3

d) f(x) = 1 for -2 < x < 2 and f(x) = 6 for 2 < x < 6

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Unit 4 Review

Total questions: 26

Worksheet time: 50mins

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