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Operations with Rational Numbers Review

Total questions: 11

Worksheet time: 22mins

Name
Class
Date
1.

Mount Columbia is the highest mountain in the province of Alberta, with a peak of about 2,500 feet above sea level. Lake Toho has the lowest point at 50 feet below sea level.

What is the difference in elevation between Mount Columbia and Lake Toho?

a)

2,213 feet

b)

2,550 feet

c)

2,450 feet

d)

2,650 feet

2.

What is the value of the expression  −18−(−28)-18-\left(-28\right)  ?

a)

46

b)

-10

c)

10

d)

-46

3.

Tammy and Carlos live on the same street as the community park. The street runs from west to east. Victoria lives  5 125\ \frac{1}{2}  blocks west of the community park.  Jorge lives  4 124\ \frac{1}{2}  blocks east of the community park, as shown on the number line diagram.

a)

1 block

b)

9 blocks

c)

10 blocks

d)

11 blocks

4.

Alexandra plotted the points P, Q, R, S, and T on a number line as shown.
Which two values have a sum of  00  ?

a)

Q and T

b)

Q and S

c)

P and T

d)

R and S

5.

Select the expressions that are equivalent to  −12-12  .

a)

 −12×1=-12\times1=  

b)

 12×−1×−1×−1=12\times-1\times-1\times-1=  

c)

 −3×−42=-3\times-\frac{4}{2}=  

d)

 −605÷55=-\frac{60}{5}\div\frac{5}{5}=  

6.

What is  425\frac{4}{25}  written as a decimal?

a)

 0.160.16  

b)

 6.256.25  

c)

 0.40.4  

d)

 0.250.25  

7.

Halifax is at an elevation of  −150 12-150\ \frac{1}{2}  meters.  Dartmouth is 3 times farther below sea level than Halifax.
What is the elevation of Dartmouth?

a)

 −451 12-451\ \frac{1}{2}  meters

b)

 450450  meters

c)

 150 12150\ \frac{1}{2}  meters

d)

 451 12451\ \frac{1}{2}  meters

8.

Select the fraction that terminates when expressed as a decimal.

a)

13\frac{1}{3}

b)

16\frac{1}{6}

c)

78\frac{7}{8}

d)

1124\frac{11}{24}

9.

Adonica was making snacks for her friends by putting equal amounts of trail mix into small bags. She started with 3 453\ \frac{4}{5}  cups of trail mix.  She ate  15\frac{1}{5}  of a cup of the trail mix.  Then she portioned  34\frac{3}{4}  cup of trail mix evenly into each bag for her friends.
How many complete bags did Adonica make?

a)

3 bags

b)

4 bags

c)

5 bags

d)

6 bags

10.

At sunrise on Monday, the temperature in Montreal, Quebec was  −5° C-5\degree\ C  .
By noon, the temperature in Montreal, Quebec increased by  20° C20\degree\ C  .
What was the temperature in Montreal, Quebec at noon?

a)

 25° C25\degree\ C  

b)

 35° C35\degree\ C  

c)

 15° C15\degree\ C  

d)

 −25° C-25\degree\ C  

11.

The change in price of a certain brand of juice from 2014 to 2016 is shown in the table.
In 2013, the price of juice was $4.69.  Use the information in the table to determine the value that correctly completes the statement below.
The price of the juice at the end of 2016 was  $____________.

a)

$5.69

b)

$5.14

c)

$4.99

d)

$5.99