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One Step Equations

1) x – 3 = 7

3) y + 4 = -15

155

=r3)

4) -9n = 27

5) 53

1 =z

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Two Step Equations

1) 2x - 3 = 11

2)

€

1

2x + 4 = 12

3)

€

b

7- 3 = 1

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1) x – 3 = 7

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-3 -3

2) x – 3 = 7 -7 -7

3) x – 3 = 7 +3 +3

4) x – 3 = 7 +7 +7

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That’s right! Add 3 to both sides and get x = 10.

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1) y + 4 = -15 -4 -4

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2) y + 4 = -15 +4 +4

3) y + 4 = -15 -15 -15

4) y + 4 = -15 +15 +15

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Nice. Subtracting 4 from both sides and get x = -19.

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155

=r

Decide which step is appropriate and click on it.

1)

155

=r2)

155

=r3)

155

=r4) +5 +5

-5-5 ÷5 ÷5

•5 •5

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That’s right! Multiply both sides by five, and x = 75

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1) -9n = 27

Decide which step is appropriate and click on it.

4) -9n = 272) -9n = 27

3) -9n = 279 +9 +9

-9 -9-9 -9

9

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Soooo good! Since x is being multiplied by -9, get rid of itby dividing both sides by -9, so x = -3

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53

1 =z

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53

1 =z

53

1 =z 53

1 =z

1) 2)

3) 4)

13• •

31

÷ 3 13

-÷ 313

-

13•

31•

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Great. Multiply by the reciprocal on both sides, and x = 15.

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1) 2x - 3 = 11

Decide which step is appropriate and click on it.

2) 2x - 3 = 11

3) 2x - 3 = 11 4) 2x - 3 = 11

-3 -3 +3 +3

2 2 -2 -2

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Good. Add 3 to both sides. Now decide on the next correct step.

1) 2x = 14 2) 2x = 14

3) 2x = 14 4) 2x = 14

-2 -2 +2 +2

-2 -2 2 2

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That’s right. Divide both sides by 2 and get x = 7.

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€

1

2x + 4 = 12

€

1

2x + 4 = 12

€

1

2x + 4 = 12

€

1

2x + 4 = 12

Decide which step is appropriate and click on it.

1) 2)

3) 4)

-4 -4 +4 +4

•2 •2 12•• 1

2

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Perfect. Subtracting 4 from both sides is correct. Now select the next step.

€

1

2x = 8

€

1

2x = 8

€

1

2x = 8

€

1

2x = 8

1) 2)

3) 4)• 2

÷ 2

12

•

12

-12

-

÷ 2

12

•

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• 2

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Right. Multiply both sides by the reciprocal and x = 16.

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€

b

7- 3 = 1

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€

b

7- 3 = 1

€

b

7- 3 =1

€

b

7- 3 = 1

1) 2)

3) 4)

-3 -3 +3 +3

• 7 ÷ 7• 7 ÷ 7

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Good. Adding three to both sides is correct. Now choose the next step.

€

b

7= 41) 2)

€

b

7= 4

€

b

7= 4

€

b

7= 43) 4)

•7

÷ 7

-7 -7

+7 +7

÷ 7

•7

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That is correct. When you multiply both sides by 7, x = 28.

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