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A1-CHAPTER 1 TEST 2025-26

Total questions: 145

Worksheet time: 6hrs 13mins

Name
Class
Date
1.
-4x = -36
x=
a)
4
b)
5
c)
-9
d)
9
2.
m/5 = -3
m divided by 5 is equal to negative three
m= 
a)
-5
b)
2
c)
-15
d)
-3
3.
-10k = 50
k =
a)
-500
b)
-5
c)
-7
d)
3
4.

x + 23 = -45

a)

x = -23

b)

x = -68

c)

x = -12

d)

x = 64

5.

m - 14 = 76

a)

m = 90

b)

m = 52

c)

m = -62

d)

m = 80

6.

18 = k - 22

a)

k = 32

b)

k = -4

c)

k = 4

d)

k = 40

7.

-60 = 5a

a)

a = 12

b)

a = -12

c)

a = 300

d)

a = -300

8.

r/23 = 56

a)

r = 2.43

b)

r = 1238

c)

r = 982

d)

r = 1288

9.

12y = 5424

a)

y = 484

b)

y = 456

c)

y = 452

d)

y = 543

10.

-85 = 17b

a)

b = -5

b)

b = 35

c)

b = 5

d)

b = -7

11.

t - 24 = 89

a)

t = 65

b)

t = 93

c)

t = 113

d)

t = 128

12.

-432 = 16m

a)

m = 27

b)

m = 25

c)

m = -17

d)

m = -27

13.

16 =k1116\ =\frac{k}{11}  


The variable, k, is being divided by 11. What step needs to be completed to isolate the variable k?

a)

Divide both sides by 11

b)

Multiply both sides by 11.

c)

Add 11 to both sides.

d)

Subtract 11 to both sides.

14.

Solve for y in the following equation:

y ÷ 3 = 12

a)

36

b)

-36

c)

4

d)

-4

15.

Solve for h in the following equation:

0 = 4h

a)

h = 0

b)

g = 1

c)

h = 1

d)

g = 0

16.

Solve for x in the following equation:
x−4\frac{x}{-4}  = 9

a)

13

b)

36

c)

-36

d)

−49\frac{-4}{9}  

17.



(a)  

18.

x - 8 = -5 

(a)  

19.

m+13=21

(a)  

20.

Solve:

(a)  

21.

If 5x = 25 , what is the first step to solve for x?

a)

Divide by 5 on both sides

b)

Add 25 to both sides

c)

Subtract 5 from both sides

d)

Multiply by 5 on both sides

22.

If x - 7 = -4 , what is the first step to solve for x?

a)

Add 4 to both sides

b)

subtract 4 from both sides

c)

add 7 to both sides

d)

subtract 7 from both sides

23.

Solve for x : 3 + x = 21

a)

x = 18

b)

x = 24

c)

x = 7

d)

x = 63

24.

What is the inverse operation of division?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

25.

w / 15 = -9

a)

w = -3/5

b)

w = -24

c)

w = 6

d)

w = -135

26.

110 = −11m

a)

m = 99

b)

m = -10

c)

m = 121

d)

m = 5

27.

Solve 7k - 14 = 42

a)

7

b)

-8

c)

0

d)

8

28.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
29.

Solve x5+2 = 6\frac{x}{5}+2\ =\ 6  

a)

t = 20

b)

t = -20

c)

t = -40

d)

t = 40

30.

What was done to solve the equation?

(Line 1) 5x - 8 = 32

(Line 2) 5x = 40

(Line 3) x = 8

a)

add 8 to both sides, then divide both sides by 5

b)

add 8 to both sides, then divide both sides by 40

c)

subtract 8 from both sides, then divide both sides by 5

d)

subtract 8 from both sides, then multiply both sides by 5

31.

Solve for x.

3x - 5 = 4

a)

x = 1/3

b)

x = 3

c)

x = -1/3

d)

x = -3

32.

Solve for x. x7−8=16\frac{x}{7}-8=16  

a)

x = 56

b)

x = 8/7

c)

x = 24/7

d)

x = 168

33.
The steps in solving 5b - 6 = 24 are: 
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
34.

Solve -4x + 1 = 21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

35.

Solve 8 = 4v + 12

a)

-1

b)

1

c)

0

d)

-10

36.
33 = 4a - 7
a)
a=-10
b)
a=10
c)
a=4.5
37.
6 - 3a = 21
a)
a= 9
b)
a= -9
c)
a= -5
d)
a= 5
38.
-3a + 8 = 14
a)
a= -2
b)
a= -7.5
c)
a= 2
d)
a= 6
39.
26 = 5a + 1
a)
a= 5 4∕5
b)
a= no solution
c)
a= 0
d)
a= 5
40.
20 = 2 - a
a)
a= 18
b)
a= -18
c)
a= -10
d)
a= 12
41.
7 + a⁄3 = 5
a)
a= -2
b)
a= -6
c)
a= 3
d)
a= 15
42.
-5 - 6a = -59
a)
a= 11
b)
a= -6
c)
a= 9
d)
a= 2
43.
a)

2

b)

3

c)

4

d)

5

44.
a)

5

b)

6

c)

7

d)

8

45.
a)

1

b)

2

c)

3

d)

4

46.
a)

1

b)

2

c)

3

d)

4

47.
a)

-6

b)

-7

c)

-8

d)

-9

48.

6 + n/5 = -4

a)

-50

b)

56

c)

50

d)

56

49.

Solve for x:

4 = x3−64\ =\ \frac{x}{3}-6  

a)

x = 30

b)

x = 18

c)

x = -6

d)

x = 12

50.

Solve for x:

7+x2= 14\frac{7+x}{2}=\ 14  

a)

x = 35

b)

x = 0

c)

x = 21

d)

x = 14

51.

Solve for x:

x3+ 9 = 12\frac{x}{3}+\ 9\ =\ 12  

a)

x = 1

b)

x = 25

c)

x = 9

d)

x = -9

52.

Solve for x:

x−43=2\frac{x-4}{3}=2  

a)

x = 10

b)

x = 18

c)

x = 2

d)

x = -2

53.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
54.
6z + 3 -4z = 9
a)
z = 3
b)
z = 60
c)
z = 30
d)
z = 1
55.
Solve for k:
3k + 5 = 23
a)
k = 4
b)
k = 5
c)
k = 6
d)
k = 7
56.
-72 = 6(n + -2)
a)
10
b)
35/3
c)
-10
d)
other
57.
5b + 3(b + -5) = 1
a)
3/4
b)
-3/4
c)
2
d)
-7/4
58.
-11 = 5 - b
a)
-16
b)
16
c)
6
d)
-6
59.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
60.
5y+6=46
a)
y=8
b)
y=33
c)
y=12
d)
y=6
61.
3(x-5)-x=1
a)
x = 4
b)
x = 8
c)
x = 3
d)
x = 2
62.

-11-5a = 6(5a + 4)

a)

a = -1

b)

a = 0

c)

Infinite Solutions

d)

No Solution

63.

6(m+3)=5(m-2)

a)

m = 8

b)

m = -28

c)

Infinite Solutions

d)

No Solution

64.

12(y+2)=6(2y+4)

a)

y = 2

b)

y = 24

c)

Infinite Solutions

d)

No Solution

65.

5y-15=5(y-2)

a)

y = 5

b)

y = 7

c)

Infinite Solutions

d)

No Solution

66.

How many solutions does the equation have

2(2p - 3) = 11p - 7 - 7p

a)

p = 1

b)

p = -1

c)

Infinite Solutions

d)

No Solution

67.

How many solutions does the equation have

3x + 5 + 2x = -5(-x - 1)

a)

x = 3

b)

x = 11

c)

Infinite Solutions

d)

No Solution

68.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
69.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
70.
5x - 4 + 2x = 3
a)
1
b)
2
c)
3
d)
4
71.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
72.
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
73.
-11 + 3(b + 5) = 7
a)
1
b)
-1
c)
3
d)
-3
74.
4x + 10 = -26
a)
4
b)
-4
c)
-9
d)
9
75.
Solve for x.
a)
55
b)
60
c)
15
d)
35
76.
Solve the equation: 
4 - 2(x - 3) = 24
a)
- 7
b)
7
c)
14
d)
- 14
77.

10 + 2x = 16

a)

2

b)

3

c)

4

d)

1

78.
12+5w-4w=15
a)
w=1
b)
w=3
c)
w=5
d)
w=4
79.
3(x-6)+2x=22
a)
x=8
b)
x=2
c)
x=18
d)
x=3
80.
9+2a=-3-4a
a)
a = -2
b)
a = 2
c)
a = 5
d)
a = -1
81.
2a+4=7+a
a)
a = 1
b)
a = -3
c)
a = -1
d)
a = 3
82.
is 7 a solution to the equation
3x+8-x=5x-4
a)
yes
b)
no
c)
maybe
83.
2+14a=-8+9a
a)
a = 2
b)
a = -2
c)
a = 6⁄5
d)
a = 1
84.
-8-5a=12-9a
a)
a = 5
b)
a = 1
c)
a = -2
d)
a = -1
85.
22+2a=37+6+a
a)
a = 21
b)
a = 5
c)
a = -5
d)
a = -16
86.
(2⁄3)a+1=16-a
a)
a = 0
b)
a = 9
c)
a = 22.5
d)
a = -3
87.
3a-24=-a
a)
a = 6
b)
a = 12
c)
a = -8
d)
a = -12
88.
8-3a+12=2a
a)
a = 4
b)
a = 1
c)
a = 3
d)
a = 5
89.
6a+3-4a=9
a)
a = 3
b)
a = 6
c)
a = 9
d)
a = -3
90.
Solve for x:
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
91.
Solve for f:
f - 4 = 6f + 26
a)
f = -5
b)
f = 5
c)
f = 6
d)
f = -6
92.
8w - 8 = - 4x + 16
a)
8
b)
16
c)
24
d)
2
93.

10x + 9 = 4x - 9

a)

x = 0

b)

x = 3

c)

x = -3

d)

x = -18

94.
2x = x + 3
a)
6
b)
3
c)
2
d)
x
95.
30 + 6t = 11t
a)
3
b)
5
c)
6
d)
30
96.
6z = 49 - z
a)
49
b)
-7
c)
6
d)
7
97.
7x = 4x + 33
a)
3
b)
11
c)
21
d)
88
98.

What is v?

-15v-40 = 23-8v

a)

v= 9

b)

v= -9

c)

v= 7

d)

v= -7

99.
-10x - 135 = 117 + 2x
a)
25
b)
-18
c)
-21
d)
22
100.
-49 - x = -8x + 70
a)
15
b)
17
c)
14
d)
19
101.
-7x - 36 = 20 -3x
a)
-12
b)
-14
c)
15
d)
8
102.
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
103.
7x - 4 = 3 + 8x
a)
x = 7
b)
x = -7
c)
x = 2/7
d)
x = 11
104.
14p - 8 = 22 + 20p
a)
-5
b)
5
c)
30
105.

12k + 15 = 35 +2k

a)

k = 2

b)

k = 4

c)

k = -2

d)

k = -4

106.

6x + 5 = 10 + 5x

a)

x = -5

b)

x = 6

c)

x = 4

d)

x = 5

107.
Solve.
a)
All real numbers
b)
0
c)
No solution
d)
4
108.
Solve.
a)
No solution
b)
All real numbers
c)
3
d)
0
109.
Solve.
a)
All real numbers
b)
No solution
c)
0
d)
12
110.

5x+4=5x+45x+4=5x+4  

a)

one solution

b)

no solution

c)

infinite solutions

111.

9−x=−x+99-x=-x+9  

a)

one solution

b)

no solution

c)

infinite solutions

112.

3(x+4)=3(x−8)3\left(x+4\right)=3\left(x-8\right)  

a)

one solution

b)

no solution

c)

infinite solutions

113.

−2(x+1)=x−3x−2-2\left(x+1\right)=x-3x-2  

a)

one solution

b)

no solution

c)

infinite solutions

114.

4−2x=2x−44-2x=2x-4  

a)

one solution

b)

no solution

c)

infinite solutions

115.

8x+1=8x+18x+1=8x+1  

a)

one solution 

b)

no solution

c)

infinite solutions

116.

6x=5x6x=5x  

a)

one solution

b)

no solution

c)

infinite solutions

117.

x=xx=x  

a)

one solution

b)

no solution

c)

infinite solutions

118.

x+9 = x−9x+9\ =\ x-9  

a)

one solution

b)

no solution

c)

infinite solutions

119.

2x+1=x+82x+1=x+8  

a)

one solution

b)

no solution

c)

infinite solutions

120.

4x+1=5x4x+1=5x  

a)

one solution

b)

no solution

c)

infinite solutions

121.

8x+16=4(2x+4)8x+16=4\left(2x+4\right)  

a)

one solution

b)

no solution

c)

infinite solutions

122.

x+8=2x−1x+8=2x-1  

a)

one solution

b)

no solution

c)

infinite solutions

123.

7x−4=7x+127x-4=7x+12  

a)

one solution

b)

no solution

c)

infinite solutions

124.

5x−8=3x+2x−85x-8=3x+2x-8  

a)

one solution

b)

no solution

c)

infinite solutions

125.
Determine the type of solution you will have if you get
-6=6
a)
one solution
b)
infinite solution=identity
c)
no solution
d)
I don't know.  I need to study.
126.
Determine the type of solution you will have if you get
x=0.25
a)
one solution
b)
infinite solution=identity
c)
no solution
d)
I don't know.  I need to study.
127.
Determine the type of solution you will have if you get
2+3=6
a)
one solution
b)
infinite solution=identity
c)
no solution
d)
I don't know.  I need to study.
128.

x+9 = x−9x+9\ =\ x-9  

a)

one solution

b)

no solution

c)

infinite solutions

129.
How many solutions does the equation have
-2 ( -4x + 7 ) = -2 + 4x
a)
One Solution
b)
No Solution
c)
Infinite Solutions
130.

-4(3x + 2) = 3(-4x + 5)

a)

No Solution

b)

One Solution

c)

Infinite Solution

131.

5x+4=5x+45x+4=5x+4  

a)

one solution

b)

no solution

c)

infinite solutions

132.

9−x=−x+99-x=-x+9  

a)

one solution

b)

no solution

c)

infinite solutions

133.

3(x+4)=3(x−8)3\left(x+4\right)=3\left(x-8\right)  

a)

one solution

b)

no solution

c)

infinite solutions

134.

−2(x+1)=x−3x−2-2\left(x+1\right)=x-3x-2  

a)

one solution

b)

no solution

c)

infinite solutions

135.

4−2x=2x−44-2x=2x-4  

a)

one solution

b)

no solution

c)

infinite solutions

136.

8x+1=8x+18x+1=8x+1  

a)

one solution 

b)

no solution

c)

infinite solutions

137.

6x=5x6x=5x  

a)

one solution

b)

no solution

c)

infinite solutions

138.

x=xx=x  

a)

one solution

b)

no solution

c)

infinite solutions

139.

x+9 = x−9x+9\ =\ x-9  

a)

one solution

b)

no solution

c)

infinite solutions

140.

2x+1=x+82x+1=x+8  

a)

one solution

b)

no solution

c)

infinite solutions

141.

4x+1=5x4x+1=5x  

a)

one solution

b)

no solution

c)

infinite solutions

142.

8x+16=4(2x+4)8x+16=4\left(2x+4\right)  

a)

one solution

b)

no solution

c)

infinite solutions

143.

x+8=2x−1x+8=2x-1  

a)

one solution

b)

no solution

c)

infinite solutions

144.

7x−4=7x+127x-4=7x+12  

a)

one solution

b)

no solution

c)

infinite solutions

145.

5x−8=3x+2x−85x-8=3x+2x-8  

a)

one solution

b)

no solution

c)

infinite solutions