 # Mixed Equations Revision

In this worksheet, students solve a variety of algebraic equations. Key stage:  KS 4

Curriculum topic:  GCSE Revision Papers

Curriculum subtopic:  Mixed Equations

Difficulty level:   ### QUESTION 1 of 10

This revision worksheet covers a variety of types of equations, the solutions of which should be found.

The basic rule of "do the same to both sides" should be followed throughout.

More specific methods have been shown in previous worksheets.

Solve the following equation for x:

5x + 2 = 2x + 14

(just write the number)

Solve the following equation for x:

5x - 6 = 2x + 12

(just write the number)

Solve the following equation for x:

6x - 10 = 2x + 12

(just write the number as a decimal)

Solve the following equation for x:

6x - 10 = 2x - 12

(just write the number as a decimal)

Solve the following equation for x:

6(x - 10) = 2(x - 12)

(just write the number)

Solve the following equation for x:

2x + 3(x - 1) = 32

(just write the number)

Solve the following equation for x:

2x - 3(x - 1) = 9

(just write the number)

Solve the following equation for x:

 x - 4x = -6 2 5

(just write the number)

Solve the following equation for x:

16½ = 4 - 2½x

(just write the number)

Solve the following equation for x:

 4x - 5 = 5x - 4 7 11

(just write the number)

• Question 1

Solve the following equation for x:

5x + 2 = 2x + 14

(just write the number)

4
EDDIE SAYS
3x = 12
x = 4
• Question 2

Solve the following equation for x:

5x - 6 = 2x + 12

(just write the number)

6
EDDIE SAYS
3x = 18
x = 6
• Question 3

Solve the following equation for x:

6x - 10 = 2x + 12

(just write the number as a decimal)

5.5
EDDIE SAYS
4x = 22
x = 5.5
• Question 4

Solve the following equation for x:

6x - 10 = 2x - 12

(just write the number as a decimal)

-0.5
EDDIE SAYS
4x = -2
x = -0.5
• Question 5

Solve the following equation for x:

6(x - 10) = 2(x - 12)

(just write the number)

9
EDDIE SAYS
6x - 60 = 2x - 24
4x = 36
x = 9
• Question 6

Solve the following equation for x:

2x + 3(x - 1) = 32

(just write the number)

7
EDDIE SAYS
2x + 3x - 3 = 32
5x = 35
x = 7
• Question 7

Solve the following equation for x:

2x - 3(x - 1) = 9

(just write the number)

-6
EDDIE SAYS
2x - 3x + 3 = 9
-x = 6
x = -6
• Question 8

Solve the following equation for x:

 x - 4x = -6 2 5

(just write the number)

20
EDDIE SAYS
Multiply each term by 10 to get:
5x - 8x = -60
-3x = -60
x = 20
• Question 9

Solve the following equation for x:

16½ = 4 - 2½x

(just write the number)

-5
EDDIE SAYS
2½x = 4 - 16½
2½x = -12½
5x = -25
x = -5
• Question 10

Solve the following equation for x:

 4x - 5 = 5x - 4 7 11

(just write the number)

3
EDDIE SAYS
Multiply each side by 77 to get:
11(4x - 5) = 7(5x - 4)
44x - 55 = 35x - 28
9x = 27
x = 3
---- OR ----

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