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Algebraic Thinking Review

Total questions: 23

Worksheet time: 45mins

Name
Class
Date
1.
What word problem does the strip diagram represent?
a)
Mrs. Moore bought 2 medium sized bags with M&M's that contained 80 M&M's each and 1 large bag that contains 250 M&M's.  How many total M&M's does she have?
b)
Mrs.  Moore has 250 M&M's.  She has 80 red M&M's and 80 blue M&M's.  How many green M&M's does she have?
c)
Mrs. Moore bought 3 bags of M&M's.  Each bag had 80 M&M's inside.  How many bags would she needs to buy in order to have 250 M&M's?
d)
Mrs. Moore had 250 M&M's.  She gave her class 80 M&M's and her switch class $80 M&M's.  How many M&M's does she have left?
2.

A factory makes 400 refrigerators every day. The factory makes 125 more stoves per day than refrigerators. Which equation can be used to find x, the total number of refrigerators and stoves the factory makes in one day?

a)

x = 400 + (400 + 125)

b)

x = 400 + 125

c)

x = 400 + (400 - 125)

d)

x = 400 - 125

3.
What equation matches the strip diagram?
a)
36 - 9 = M
b)
36 x M = 9
c)
36 ÷ 9 = M
d)
M x 8 = 36
4.

Sabra read a total of 185 pages in three days.

  • On the first day, she read 85 pages.
  • On the second and third days, she read the same number of pages.


Which diagram shows a way to find p, the number of pages Sabra read on the third day?

a)
b)
c)
d)
5.
Hailee is 13 years old.  Her friend, Valentina, is 9 years old.  How many years older is Hailee than Valentina?  Choose the best representation.
a)
A
b)
B
6.

Which equation matches this strip diagram?

a)

86 + 26 = P

b)

26 - 86 = P

c)

86 - 26 = P

7.
What equation matches the strip diagram 
a)
137 + 5 = J
b)
137 - 6 = J
c)
137 ÷ 5 = J
d)
137 x 5 = J
8.
What number goes in the empty box?
a)
9
b)
19
c)
20
d)
10
9.

Which equation best matches the strip diagram?

a)

40 - 25 + 20 = Q

b)

40 + 25 + 20 = Q

c)

Q - 40 - 25 - 20

10.

Which equation represents the strip diagram?

a)

(984 - 344) ÷ 4 = X

b)

(984 + 344) x 4 = X

c)

984 - 344 = X

d)

984 + 344 = X

11.

What is the rule?

a)

output = input + 3

b)

output = input + 4

c)

input = 2 x output

d)

output = 2 x input

12.

Steven has a rectangular garden that he wants to cover with mulch. If the length of the garden is 9 feet and the area is 54 square feet, what is the width of the garden ?

a)

6 sq. ft.

b)

9 sq. ft

c)

12 sq. ft.

d)

4 sq. ft.

13.

Based on the table, if the output is 21, what is the input?

a)

4

b)

3

c)

7

d)

21

14.

What is the rule?

a)

Input x 2 = output

b)

Input x 3 = output

c)

Output x 3 = input

d)

Input + 3 = output

15.
Eriasia wanted to put down new tile in her bathroom. Her bathroom had a width of 10 ft and a width of 9 feet. How many square feet of tile should she buy?
a)
90 square feet
b)
19 square feet
c)
38 square feet
16.

Which equation would you use to find the area of this shape?

a)

16 x 10 = a

b)

16 + 10 = a

c)

16 + 16 + 10 + 10 = a

d)

32 + 20 = a

17.

Cooper used his ruler to measure the side of a square, as shown.

What is the area of the square?

a)

4 sq. in.

b)

8 sq. in.

c)

12 sq. in.

d)

16 sq. in.

18.
How do you find the area of a rectangle?
a)
Length + Length + Length + Length
b)
Length + Width
c)
Length x Width
d)
Width x Width
19.

P =

a)

l x w

b)

w x l

c)

w + w + l

d)

(2l + 2w)

20.

If the perimeter of a square is 24 inches, what is the length of one side of the square?

a)

12 in.

b)

6 in.

c)

4 in.

d)

3 in.

21.
Maura drew a square. Each side measures 6 cm. What is the area of the square?
a)
24 sq cm
b)
36 sq cm
c)
42 sq cm
d)
48 sq cm
22.
What is the perimeter of this rectangle?
a)
21 units
b)
12 units
c)
3 units
d)
None of the above.
23.
The distance around an object is called the 
a)
area
b)
perimeter