Name: 
 

Algebra



Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 

 1. 

To observe a session of the state senate, 24 students are visiting the state capital. They will tour the capital in groups with b chaperones. Complete the table. How many students will be in each group if b = 6?
b
24 ¸ b
2
12
6
 
8
3
a.
4
b.
9
c.
18
d.
144
 

 2. 

In Chinese class, Haru has to read 4 pages of a book written in Chinese each week. What algebraic expression represents the number of pages Haru will read after n weeks?
algebra_files/i0030000.jpg
a.
4 ¸ n
b.
4 + n
c.
4n
d.
4 n
 

 3. 

What algebraic expression represents this word phrase?
18 less than a number
a.
y ´ 18
b.
y ¸ 18
c.
y + 18
d.
y - 18
 

 4. 

Every row in a theater that is hosting a Broadway show contains m seats. What algebraic expression shows the number of seats in 36 rows?
a.
36 - m
b.
m ¸ 36
c.
36m
d.
36 + m
 

 5. 

What is the rule for the table?
Input
Output
13
17
18
22
22
26
26
30
a.
Add 4.
b.
Divide by 4.
c.
Subtract 4.
d.
Multiply by 4.
 

 6. 

The following table shows the number of people in committees in a government office. What is the rule for the table?
GOVERNMENT COMMITTEES
Number of Committees
Number of People
2
20
4
40
6
60
8
80
a.
Add 10.
b.
Divide by 10.
c.
Subtract 10.
d.
Multiply by 10.
 

 7. 

To find the strength of his microscope, Mo’s teacher gave him the following equation where m is the strength of the microscope. What is the strength of the microscope?
21.7m = 217
a.
10
b.
2.17
c.
31.7
d.
100
 

 8. 

The Chess Club has 12 members. If c more students join, the club will meet its membership goal of 21 students. Use the equation below. How many students must join the club to meet the goal?
12 + c = 21
a.
8 students
c.
11 students
b.
9 students
d.
33 students
 

 9. 

A third grade class is earning points for a pizza party by reading books. For every book they read they earn 4 points. Complete the table, where b represents the number of books read. How many points will they earn if b = 44?

b
b ´ 4
40
160
44
?
50
200
a.
176
c.
40
b.
180
d.
11
 

 10. 

Andrea is buying a new pair of shoes with an original price of $n dollars. The shoes are on sale, $5 off. Which algebraic expression represents the amount she will pay for the shoes?
a.
n ÷ 5
c.
n + 5
b.
5 – n
d.
n – 5
 

 11. 

Which of the following gives the value of the expression w ´ 5 for w = 35?
a.
40
c.
175
b.
30
d.
7
 

 12. 

Which word phrase can be represented by the algebraic expression z – 23?
a.
23 more than a number
c.
a number decreased by 23
b.
the quotient of z and 23
d.
the product of z and 23
 

 13. 

There are 36 inches in one yard. Which algebraic expression shows the number of inches in p yards?
a.
36p
c.
36 + p
b.
36 ÷ p
d.
p – 36
 

 14. 

Sam ran 3 miles less than Paul. If p represents how far Paul ran, which expression shows how far Sam ran?
a.
3 – p
c.
3p
b.
p – 3
d.
3 + p
 

 15. 

Which table shows the rule Add 6?
a.
algebra_files/i0160000.jpg
c.
algebra_files/i0160001.jpg
b.
algebra_files/i0160002.jpg
d.
algebra_files/i0160003.jpg
 

 16. 

The following table shows the number of parents needed to accompany a class on a field trip. What is the rule for the table?

Number of Students
Number of Parents
16
2
24
3
32
4
40
5
a.
Divide by 8
c.
Add 8
b.
Multiply by 8
d.
Subtract 8
 

 17. 

Find the rule for the following table. Which is the missing number in the table?

Input
Output
8
3
12
7
15
?
26
21
a.
20
c.
10
b.
3
d.
12
 

 18. 

Which of the following equations has a solution of m = 18?
a.
m + 8 = 23
c.
3m = 60
b.
m – 10 = 5
d.
m ÷ 3 = 6
 

 19. 

Carly wants to share a bag of 48 crackers with her class of y students. Each student will receive 3 crackers. Use the equation 48 ÷ y = 3. How many students are in Carly’s class?
a.
16
c.
51
b.
45
d.
24
 

 20. 

Which of the following is the solution to 4m = 48?
a.
m = 6
c.
m = 44
b.
m = 12
d.
m = 52
 



 
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