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A1-CHAPTER 1 TEST 2025-26

Total questions: 167

Worksheet time: 7hrs 5mins

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:
x4\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. x78=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 45
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= 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 = x364\ =\ \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:

x43=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 = 65
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.
(23)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.

9x=x+99-x=-x+9  

a)

one solution

b)

no solution

c)

infinite solutions

112.

3(x+4)=3(x8)3\left(x+4\right)=3\left(x-8\right)  

a)

one solution

b)

no solution

c)

infinite solutions

113.

2(x+1)=x3x2-2\left(x+1\right)=x-3x-2  

a)

one solution

b)

no solution

c)

infinite solutions

114.

42x=2x44-2x=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 = x9x+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=2x1x+8=2x-1  

a)

one solution

b)

no solution

c)

infinite solutions

123.

7x4=7x+127x-4=7x+12  

a)

one solution

b)

no solution

c)

infinite solutions

124.

5x8=3x+2x85x-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 = x9x+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.

What is the definition of consecutive integers?

a)

Integers that follow each other in order without any gaps or skips.

b)

Integers that have gaps between them

c)

Integers that are not whole numbers

d)

Integers that are not in order

132.

Which of the following sequences contains consecutive even integers?

a)

3, 5, 7, 9

b)

2, 6, 8, 10

c)

2, 4, 6, 8

d)

1, 3, 5, 7

133.

Find the consecutive integers between 10 and 20.

a)

12, 13, 14, 15, 16, 17, 18, 19, 20

b)

11, 12, 13, 14, 15, 16, 17, 18, 19

c)

9, 10, 11, 12, 13, 14, 15, 16, 17

d)

10, 11, 12, 13, 14, 15, 16, 17, 18

134.

True or False: Consecutive integers can be negative numbers.

a)

False

b)

Sometimes

c)

Not sure

d)

True

135.

If n is an integer, what are the next 3 consecutive integers?

a)

n

b)

n +2

c)

n + 1

d)

n - 1

e)

n+ 3

136.

If n + 7 is an integer, what are the next 3 consecutive integers?

a)

n + 6

b)

n + 8

c)

n + 10

d)

n + 7

e)

n + 9

137.

Find the next consecutive odd integer after 25.

a)

24

b)

27

c)

30

d)

26

138.

If n is an integer, what are the next 3 consecutive odd integers?

a)

n + 1

n + 3

n + 5

b)

n

n + 2

n + 4

c)

n

n + 1

n + 3

d)

n + 2

n + 4

n + 6

139.

If n is an integer, what are the next 3 consecutive even integers?

a)

n + 1

n + 3

n + 5

b)

n

n + 2

n + 4

c)

n

n + 1

n + 3

d)

n + 2

n + 4

n + 6

140.

If 2n + 3 is an odd integer, what are the next 3 consecutive odd integers?

a)

2n + 5

b)

2n + 7

c)

2n + 1

d)

2n + 3

e)

2n + 9

141.

Which equation can be used to find two consecutive integers whose sum is 43?

a)

n + 1 + n + 2 = 43

b)

n + n + 1 = 43

c)

n + 1 = 43

d)

n + n + 3 = 43

142.

Find two consecutive integers whose sum is 43.

a)

19 and 24

b)

22 and 22

c)

20 and 23

d)

21 and 22

143.
The sum of three consecutive integers is 48.  What is the smallest number in the group?
a)
16
b)
15
c)
17
d)
24
144.

The sum of 4 consecutive integers is 170. What is the largest number in the group?

a)

61

b)

62

c)

176

d)

44

145.
The sum of three consecutive even integers is 618.  What is the largest number in the group?
a)
207
b)
209
c)
206
d)
208
146.
The sum of three consecutive odd numbers is -27.  What is the largest of the three numbers?
a)
-7
b)
-9
c)
-11
d)
-13
147.
Find three consecutive integers such that the sum of the largest and 5 times the smallest is -244. Find the smallest integer. 
a)
-41
b)
-40
c)
-39
d)
-43
148.

Three consecutive even integers are such that the sum of the smallest and 3 times the second is 38 more than twice the third. Find the largest integer.

a)

20

b)

22

c)

24

d)

26

149.

There are 3 consecutive integers such that twice the first is 20 more than the second. Find the largest number.

a)

21

b)

24

c)

22

d)

23

150.
The sum of 4 consecutive even numbers is 364.  What is the sum of the middle two numbers? 
a)
91
b)
92
c)
183
d)
182
151.
Find three consecutive even integers such that 27 more than 3 times the second is 7 less than 8 times the first.
a)
8, 10, 12
b)
-4, -2, 0
c)
6, 8, 10
d)
2, 4, 6
152.

There are 3 consecutive integers twice the first is 20 more than the second. Find the smallest number.

a)

21

b)

24

c)

22

d)

23

153.

5x+4=5x+45x+4=5x+4  

a)

one solution

b)

no solution

c)

infinite solutions

154.

9x=x+99-x=-x+9  

a)

one solution

b)

no solution

c)

infinite solutions

155.

3(x+4)=3(x8)3\left(x+4\right)=3\left(x-8\right)  

a)

one solution

b)

no solution

c)

infinite solutions

156.

2(x+1)=x3x2-2\left(x+1\right)=x-3x-2  

a)

one solution

b)

no solution

c)

infinite solutions

157.

42x=2x44-2x=2x-4  

a)

one solution

b)

no solution

c)

infinite solutions

158.

8x+1=8x+18x+1=8x+1  

a)

one solution 

b)

no solution

c)

infinite solutions

159.

6x=5x6x=5x  

a)

one solution

b)

no solution

c)

infinite solutions

160.

x=xx=x  

a)

one solution

b)

no solution

c)

infinite solutions

161.

x+9 = x9x+9\ =\ x-9  

a)

one solution

b)

no solution

c)

infinite solutions

162.

2x+1=x+82x+1=x+8  

a)

one solution

b)

no solution

c)

infinite solutions

163.

4x+1=5x4x+1=5x  

a)

one solution

b)

no solution

c)

infinite solutions

164.

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

a)

one solution

b)

no solution

c)

infinite solutions

165.

x+8=2x1x+8=2x-1  

a)

one solution

b)

no solution

c)

infinite solutions

166.

7x4=7x+127x-4=7x+12  

a)

one solution

b)

no solution

c)

infinite solutions

167.

5x8=3x+2x85x-8=3x+2x-8  

a)

one solution

b)

no solution

c)

infinite solutions