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Unit 1B Study Guide

Total questions: 15

Worksheet time: 30mins

Name
Class
Date
1.

Divide −2.255-\frac{2.25}{5}  

a)

0.45

b)

4.5

c)

-4.5

d)

-0.45

2.

Juan deposits $15.00 in his savings account each month. What integer represents the change in his balance after 6 months?

a)

$-21

b)

$21

c)

$-90

d)

$90

3.

Which of the following is equivalent to -8?

a)

10−(−2)10-\left(-2\right)  

b)

−2×(4)×(−1)-2\times\left(4\right)\times\left(-1\right)  

c)

−16÷−2-16\div-2  

d)

(12−20)1\frac{\left(12-20\right)}{1}  

4.

Which number below represents a repeating decimal?

a)

12\frac{1}{2}  

b)

45\frac{4}{5}  

c)

18\frac{1}{8}  

d)

56\frac{5}{6}  

5.

Vern is dividing -40 by 5. Which statement best describes the quotient Vern should get?

a)

It will be a POSITIVE integer GREATER than 40

b)

It will be a NEGATIVE integer GREATER than -40

c)

It will be a POSITIVE integer LESS than 40

d)

It will be a NEGATIVE integer LESS than -40

6.

What is the value of (−14)3\left(-\frac{1}{4}\right)^3  

a)

−112-\frac{1}{12}  

b)

−164-\frac{1}{64}  

c)

112\frac{1}{12}  

d)

164\frac{1}{64}  

7.

Solve −75÷−9-75\div-9  

a)

−8.333‾-8.\overline{333}  

b)

8.333‾8.\overline{333}  

c)

−8.3-8.3  

d)

8.38.3  

8.

At 5:00pm the temperature was -5 degrees in Juneau Alaska. The temperature dropped 2 degrees each hour until 8:00pm. What was the temperature at 8:00pm?

a)

-11 degrees

b)

-16 degrees

c)

1 degree

d)

-9 degrees

9.

Solve −6(−5 + a)-6\left(-5\ +\ a\right)  

a)

−11−6a-11-6a  

b)

−30 + −6a-30\ +\ -6a  

c)

11 − 6a11\ -\ 6a  

d)

30−6a30-6a  

10.

A hot air balloon is descending at a constant rate. After 4 minutes, the balloon has descended 280 feet. What is the rate in feet per minutes that the balloon is descending?

a)

70 feet per minute

b)

-70 feet per minute

c)

-60 feet per minute

d)

60 feet per minute

11.

Select the equation represented in this diagram.

a)

2(−8)=−162\left(-8\right)=-16  

b)

2(8)=−162\left(8\right)=-16  

c)

−2(−8)=16-2\left(-8\right)=16  

d)

−2(8)=−16-2\left(8\right)=-16  

12.

Evaluate the expression: (−14)×(−8)\left(-\frac{1}{4}\right)\times\left(-8\right)  

a)

-2

b)

2

c)

-32

d)

32

13.

Evaluate the expression: −8 ÷ (−14)-8\ \div\ \left(-\frac{1}{4}\right)  

a)

-2

b)

2

c)

-32

d)

32

14.

A feather fell off a bird that was flying 10 feet above the ground. The feather got caught in the wind and slowly descended to the ground. If the feather reached the ground 8 minutes later, how many feet did the feather fall per minute?

a)

-1.25 feet per minute

b)

-80 feet per minute

c)

-0.8 feet per minute

d)

-12.5 feet per minute

15.

Which of the following shows a correct application of the distributive property?

a)

−2(−1+4)=−2 − 8-2\left(-1+4\right)=-2\ -\ 8  

b)

−4(−2+6)=8−24-4\left(-2+6\right)=8-24  

c)

−(5+6)=−5+6-\left(5+6\right)=-5+6  

d)

−3(−2−5)=6−15-3\left(-2-5\right)=6-15