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Algebra 1

1.6.5 Practice

Algebra 11.6.5 Practice
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Complete the following questions to practice the skills you have learned in this lesson.

1. Select three the equations that have the same solution as the equation 3 x − 12 = 24 .

  1. 15 x − 60 = 120
  2. 3 x = 12
  3. 3 x = 36
  4. x − 4 = 8
  5. 12 x − 12 = 24

2. Select three the equations that have the same solution as 2 x − 5 = 15 .

  1. 2 x = 10
  2. 2 x = 20
  3. 2 ( x − 5 ) = 15
  4. 2 x − 20 = 0
  5. 4 x − 10 = 30
  6. 15 = 5 − 2 x

3. Select four of the equations that are equivalent to: x + 0.4 x − 4.2 = 12.8 .

  1. 1.4 x − 4.2 = 12.8
  2. 1.4 x = 8.6
  3. 1.4 x = 17
  4. 14 x − 42 = 128
  5. 10 x + 4 x − 42 = 12.8
  6. 14 x = 170

4. Select two of the following that are equivalent to 3 x − 6 = 12.

  1. 3 x = 6
  2. 3 ( x − 2 ) = 12
  3. x − 2 = 4
  4. x − 2 = 12
  5. x − 6 = 4

5. Identify which step the mistake is made in finding an equivalent equation to 2 ( x − 4 ) = 16 .

Step 1: 2 x − 4 = 16
Step 2: 2 x = 20
Step 3: x = 10 ;

  1. Step 3
  2. Step 2
  3. Step 1

6. Identify which step the mistake is made in finding an equivalent equation to 2 x + 3 x − 4 = 20 .

Step 1: 5 x − 4 = 20
Step 2: 5 x = 16
Step 3: x = 16 / 5 ;

  1. Step 3
  2. Step 2
  3. Step 1

7. Identify which step the mistake is made in finding an equivalent equation to 7 x − 4 x − 5 = 16 .

Step 1 : 3 x − 5 = 16
Step 2: 3 x = 21
Step 3: x = 62 ;

  1. Step 3
  2. Step 2
  3. Step 1

8. Fill in the blank to complete the equivalent equation to 3(x - 5) = 30.

3 x - ____ =30

9. Fill in the blank to complete the equivalent equation to x 2 − 5 = 11 . .

x - ______ = 22

10. Fill in the blank to complete the equivalent equation to 3 ( x − 9 ) = 24 . .

x - ____ = 8

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