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Unit 3 Review - Accelerated

Total questions: 11

Worksheet time: 3hrs 45mins

Name
Class
Date
1.

A team of workers took 167.3 hours to complete a task. A smaller team of workers will complete the same task, but it will take them 1.25 times as long as it took the first team. Based on this information, which statement is true?

a)

The task will take the smaller team of workers 209.125 hours to complete, because 167.3 × 1.25 = 209.125.

b)

The task will take the smaller team of workers 168.55 hours to complete, because 167.3 + 1.25 = 168.55.

c)

The task will take the smaller team of workers 179.8 hours to complete, because 167.3 + 1.25 = 179.8.

d)

The task will take the smaller team of workers 198.825 hours to complete, because 167.3 × 1.25 = 198.825.

2.

The weight of one serving of trail mix is 2.5 ounces. How many servings are there in 22.5 ounces of trail mix?

a)

11.5

b)

25.0

c)

56.25

d)

9.0

3.

At a restaurant, 42 people had breakfast on Saturday morning.

 17\frac{1}{7}  of the people ate eggs only.
 23\frac{2}{3}  of the people ate both pancakes and eggs. 
The remaining people ate pancakes only. 

Which fraction represents the number of people who ate pancakes only? 

a)

 421\frac{4}{21}  

b)

 821\frac{8}{21}  

c)

 1721\frac{17}{21}  

d)

 1742\frac{17}{42}  

4.

Mrs. Newton wrote this expression on the board.


 (−4)(7) + (−36÷43)\left(-4\right)\left(7\right)\ +\ \left(\frac{-36\div4}{3}\right)  

What is the value of this expression?



(a)  

5.

Which expression has a value of -20?

a)

8 –(–4) + 16 ÷(–2)

b)

–4 + (–2)–(–8) + 6

c)

–6 · 2 –(–8)

d)

–4 · 2 – 12

6.

LuAnn is playing a math game. She chooses three cards. The value of each of her cards is shown.


• First card: -12

• Second card: 3

•Third card: -5


What is the sum of the values of LuAnn’s three cards?

(a)  

7.

Which expression is represented on the number line?

a)

0−(−8)0-\left(-8\right)

b)

−2 ⋅4-2\ \cdot4

c)

−2+(−8)-2+\left(-8\right)

d)

−2÷4-2\div4

8.

Which expression is represented on the number line?

a)

-8 - (-2)

b)

-8(-2)

c)

0 - 8 - 2

d)

-8 - 2

9.


In the expression shown, r represents a rational number. 
 3 18r3\ \frac{1}{8}r  

Which values of r do NOT make the expression equal to a number greater than  3 183\ \frac{1}{8}  ?

a)

 r < 55r\ <\ \frac{5}{5}  

b)

 r = 32r\ =\ \frac{3}{2}  

c)

 r > 22r\ >\ \frac{2}{2}  

d)

 r = 63r\ =\ \frac{6}{3}  

10.

a)

34⋅365\frac{3}{4}\cdot\frac{36}{5}

b)

34⋅536\frac{3}{4}\cdot\frac{5}{36}

c)

43÷536\frac{4}{3}\div\frac{5}{36}

d)

43÷365\frac{4}{3}\div\frac{36}{5}

11.

In the expression shown p represents a rational number.


4p


What value of p makes the expression equal a number less than 4?

a)

98\frac{9}{8}

b)

1917\frac{19}{17}

c)

78\frac{7}{8}

d)

1616\frac{16}{16}