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Solving Two-Step Equations
This set of tiles represents the equation 2x + 2 = 6.
1
x
x
2x
1
=
1
1
1
1
1
1
+2 = 6
© NorledgeMaths
Solving Two-Step Equations
We can take 2 red unit tiles off both sides of the equation.
1
x
x
2x
1
=
1
1
1
1
1
1
= 4
© NorledgeMaths
Solving Two-Step Equations
We can share out the red tiles equally between the x tiles.
x
x
=
1
1
1
1
x=2
© NorledgeMaths
Solving Two-Step Equations
We could represent this algebraically as follows:
2x + 2
2x
x
=
=
=
6
-2
Take off the 2 red tiles
÷2
Share the red tiles out
between the 2 x tiles.
4
2
© NorledgeMaths
Solving Two-Step Equations
This set of tiles represents the equation 2x - 4 = 12.
-1 -1
x
x
2x
-1
1 -1
-4
=
=
1
1
1
1
1
1
1
1
1
1
1
1
12
© NorledgeMaths
Solving Two-Step Equations
We can add red +1 tiles to cancel out blue -1 tiles.
Remember we must keep it balanced!
x
x
2x
-11 -11
-11 -11
=
=
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
16
We must add the
same tiles on to both
sides to keep the
equation balanced.
© NorledgeMaths
Solving Two-Step Equations
We then share out the red tiles between the x tiles.
x
x
=
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
x=8
© NorledgeMaths
Solving Two-Step Equations
We could represent this algebraically as follows:
2x - 4
2x
x
=
=
=
12
+4
Add on 4 red tiles to
cancel out the blues.
÷2
Share the red tiles out
between the 2 x tiles.
16
8
© NorledgeMaths
Now solve these equations. You must show your method, and
you can use the algebra tiles to help you.
1) 2x + 1 = 17
2) 4x + 3 = 23
3) 5x + 7 = 17
4) 5x + 6 = 21
5) 5x + 7 = 17
6) 3 + 4x = 23
7) 4x + 7 = 19
8) 4 + 5x = 34
9) 7x + 6 = 34
10)10 + 4x = 26
11) 2x – 4 = 20
12)3x – 7 = 14
13)5x – 4 = 26
14)3x – 6 = 9
15)3x – 2 = 10
16)6x – 1 = 29
17)5x – 5 = 45
18)7x – 12 = 9
19)3x – 8 = 22
20)8x – 4 = 84
Challenge: Write 3 equations of your own with the answer
x = 5.
© NorledgeMaths
Now solve these equations. You must show your method, and
you can use the algebra tiles to help you.
1) 2x + 1 = 17
2) 4x + 3 = 23
3) 5x + 7 = 17
4) 5x + 6 = 21
5) 5x + 7 = 17
6) 3 + 4x = 23
7) 4x + 7 = 19
8) 4 + 5x = 34
9) 7x + 6 = 34
10)10 + 4x = 26
x=8
x=5
x=2
x=3
x=2
x=5
x=3
x=6
x=4
x=4
11) 2x – 4 = 20
12)3x – 7 = 14
13)5x – 4 = 26
14)3x – 6 = 9
15)3x – 2 = 10
16)6x – 1 = 29
17)5x – 5 = 45
18)7x – 12 = 9
19)3x – 8 = 22
20)8x – 4 = 84
x = 12
x=7
x=6
x=5
x=4
x=5
x = 10
x=3
x = 10
x = 11
Challenge: Write 3 equations of your own with the answer
x = 5.
© NorledgeMaths