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Simple Solutions Lesson 93

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

What is the GCF of 28 and 35? Are 28 and 35 relatively prime?

a)

GCF = 7

They are not relatively prime

b)

GCF = 7

They are relatively prime

c)

GCF = 5

They are not relatively prime

d)

GCF = 2

They are relatively prime

2.

Write an algebraic expression to represent the number of paws in a room in which there are any number of cats. Let c stand for the number of cats.

a)

4 + c

b)

4c

c)

c + 4

d)

4c\frac{4}{c}

3.

Which two integers are opposite?

95 57 -81 62 -57 95

a)

57, -57

b)

95, 95

c)

None of them are opposite

4.

Simplify 6(4a - 5b)

a)

24a - 5b

b)

24a - 30b

c)

10a - 5b

d)

10a - 11b

5.

What is the outlier in the data?

a)

63

b)

67

c)

7

d)

60

6.

Each square on the grid represents 1 ft2. Break the shape into rectangles and triangles; then find the area.

a)

42 ft2

b)

41 ft2

c)

40 ft2

d)

43 ft2

7.

3, 850  ÷\div  70?

a)

52

b)

55

c)

56

d)

53

8.

Order the data set from least to greatest. What is the range and median?


5

1

4

4

2

3

2

a)

1, 2, 2, 3, 4, 4, 5


Range: 4

Median: 2

b)

1, 2, 2, 3, 4, 4, 5


Range: 3

Median: 4

c)

1, 2, 2, 3, 4, 4, 5


Range: 4

Median: 3

d)

5, 4, 4, 3, 2, 2, 1


Range: 4

Median: 3

9.

The restaurant offers 12 varieties of herbal tea, 9 varieties of black tea, and 3 blends of coffee. Write the ratio of black teas to herbal teas. Show all three forms of the ratio.

a)


3 to 12, 3:12, 3123\ to\ 12,\ 3:12,\ \frac{3}{12}

b)

9 to 12, 9:12, 9129\ to\ 12,\ 9:12,\ \frac{9}{12}

c)

12 to 9, 12:9, 129\frac{12}{9}

d)

3 to 9, 3:9, 39\frac{3}{9}

10.

Match each symbol with its meaning


A. -|-14|

B. |-4|

C. -4

D. |4|

a)
b)
c)
d)
11.

Are these expressions equivalent? Simplify each to support your answer.


A) 15d + 25f + 35

B) 5(3d + 5f + 7)

C) 3d + 12d + 20f + 5f + 35

a)

A and B are equivalent

b)

B and C are equivalent

c)

A and C are equivalent

d)

They are all equivalent

12.

Marnie spends 50% of every dollar she earns. Complete the table to show what portion of each amount she spends.

a)
b)
c)
13.

The food bank volunteers wrapped 60 peanut butter and jelly sandwiches in 120 minutes. At that rate, the volunteers wrapped a sandwich every ______ minutes.

 12060=?1\frac{120}{60}=\frac{?}{1}  

a)

2 minutes

b)

8 minutes

c)

3 minutes

d)

4 minutes

14.

Write an equation that means the same as "some number added to 32 is 95"

a)

95 + 32 = x

b)

95 + x = 32

c)

32 + x = 95

15.

Find the value of 45

a)

64

b)

256

c)

1,024

d)

4,096