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Worksheets

Algebraic Equations

Total questions: 15

Worksheet time: 1hrs 11mins

Name
Class
Date
1.

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

a)

No Solution

b)

One Solution

c)

Infinite Solution

2.

-5(2x - 4) = 2(10 - 5x)

a)

No Solution

b)

One Solution

c)

Infinite Solution

3.
Solve:
2x + 1 = 2x - 1
a)
No Solution
b)
x = 0
c)
Infinitely Many Solutions
4.
Solve:
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
5.
3r - 5 = 2r
a)
No solution
b)
Infinitely many solutions
c)
r = 5
6.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

3x - 8 = 3(x - 4) + 1

a)

one

b)

no solutions

c)

infinite solutions

7.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

3x - 7 = 3(x - 3) + 2

a)

one

b)

no solutions

c)

infinite solutions

8.
Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
5x + 6 = 2 + 3x
a)
one
b)
no solutions
c)
infinite solutions
9.
Solve:
2x + 1 = 2x - 1
a)
No Solution
b)
x = 0
c)
Infinitely Many Solutions
10.
Solve:
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
11.
14 - 2 ( 3p + 1) = 6 ( 4 + p)
a)
No Solution
b)
One Solution
c)
Infinite Solutions
12.
8z - 22 = 3 ( 3z + 11) -z
a)
No Solution
b)
One Solution
c)
Infinite Solutions
13.
6x + 9 – x = 3x + 9 + x
a)
No Solution
b)
One Solution
c)
Infinite Solutions
14.
3(x-2) + 1 = 3x - 5
a)
No Solution
b)
One Solution
c)
Infinite Solutions
15.

What is the solution to the equations?

a)

one solution

b)

no solution

c)

infinite solutions

d)

x = -2