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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)

(1220)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)

8.3338.\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)

116a-11-6a  

b)

30 + 6a-30\ +\ -6a  

c)

11  6a11\ -\ 6a  

d)

306a30-6a  

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)=824-4\left(-2+6\right)=8-24  

c)

(5+6)=5+6-\left(5+6\right)=-5+6  

d)

3(25)=615-3\left(-2-5\right)=6-15