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Chapter 1 Test (Algebra 1 Big Ideas CC High School)

Total questions: 21

Worksheet time: 54mins

Name
Class
Date
1.

Name the inverse operation you can use to solve the equation.
 a−6=48a-6=48  

a)

addition

b)

subtraction

c)

multiplication

d)

division

2.

Solve for n.
 n+15=31n+15=31  

a)

16

b)

46

c)

47

d)

18

3.

Solve for k.
 k−9 =4\frac{k}{-9}\ =4  

a)

36

b)

13

c)

-36

d)

 −49-\frac{4}{9}  

4.

Solve for x.
 xπ = 7\frac{x}{\pi}\ =\ 7  

a)

 π7\frac{\pi}{7}  

b)

 7π7\pi  

c)

 7π\frac{7}{\pi}  

d)

 −7π-7\pi  

5.

Solve for u

3u + 2 = 32

a)

102

b)

9

c)

11 1311\ \frac{1}{3}

d)

10

6.

Solve for m.
 2m−9=212m-9=21  

a)

13

b)

6

c)

24

d)

15

7.

Solve for u.
 8 + 3u =388\ +\ 3u\ =38  

a)

10

b)

 15 1315\ \frac{1}{3}  

c)

11

d)

90

8.

Solve for z.
 ∣z−8∣+4=8\left|z-8\right|+4=8  

a)

12

b)

 12 or −412\ or\ -4  

c)

no solution

d)

 12 or 412\ or\ 4  

9.

Solve for z.
 2∣5z+8∣=102\left|5z+8\right|=10  

a)

 −35 or 135-\frac{3}{5}\ or\ \frac{13}{5}  

b)

no solution

c)

 35\frac{3}{5}  

d)

 −35 or −135-\frac{3}{5}\ or\ -\frac{13}{5}  

10.

Solve for x.
 2x−1=4x+52x-1=4x+5  

a)

1

b)

-1

c)

3

d)

-3

11.

Solve for n.
 12(26n−6)=13n\frac{1}{2}\left(26n-6\right)=13n  

a)

infinite solutions

b)

-6

c)

-3

d)

no solution

12.

Solve for m.
 0.3m= 0.4(m+7)0.3m=\ 0.4\left(m+7\right)  

a)

28

b)

-28

c)

-70

d)

4

13.

It costs $150 to be a member of a music club. A member of the club pays $5 per music lesson. A nonmember pay $15 per music lesson. How many music lessons must a member and a nonmember take so the cost for each is the same?

a)

15

b)

140

c)

8

d)

135

14.

A taxi ride costs $3 plus $2 for each mile driven. When you rode in a taxi, the total cost was $39. This can be modeled by the equation below, where m represents the number of miles driven.

2m + 3 = 39

How long was your taxi ride?

a)

72 miles

b)

34 miles

c)

21 miles

d)

18 miles

15.

What could be the first step to solve the equation shown below?


3x + 5 = 2(x + 7)

a)

Combine 3x and 5.

b)

Multiply x by 2 and 7 by 2.

c)

Subtract x from 3x.

d)

Subtract 5 from 7.

16.
Solve: |-15|
a)
-15
b)
15
17.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = −5019-\frac{50}{19}

18.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
19.

Solve the equation.
 x6=4\frac{x}{6}=4  

a)

24

b)

 23\frac{2}{3}  

c)

-2

d)

2

20.
5x - 4 + 2x = 3
a)
1
b)
2
c)
3
d)
4
21.
7x = 3x + 24
a)
6
b)
10
c)
14
d)
4