Linear Equations Introduction Quiz

Grade 7 · Math · Quiz

Solve and write one- and two-step linear equations using properties of equality.

Questions

1. What is the solution to x + 13 = 27?

   1. x = 40
   2. x = 14
   3. x = 13
   4. x = 11
   Show answer

   Answer: x = 14

   Subtract 13 from both sides: x = 27 - 13 = 14. Check: 14 + 13 = 27 ✓.

2. What is the solution to 6x = -42?

   1. x = -7
   2. x = 7
   3. x = -36
   4. x = 252
   Show answer

   Answer: x = -7

   Divide both sides by 6: x = -42 ÷ 6 = -7. Check: 6(-7) = -42 ✓.

3. What is the solution to 2x + 9 = 25?

   1. x = 7
   2. x = 8
   3. x = 17
   4. x = 6
   Show answer

   Answer: x = 8

   Subtract 9: 2x = 16. Divide by 2: x = 8. Check: 2(8) + 9 = 16 + 9 = 25 ✓.

4. A book costs $4 more than a pen. Together they cost $20. If p = price of pen, which equation represents this?

   1. p + (p + 4) = 20
   2. 4p = 20
   3. p + 4 = 20
   4. 2p = 20
   Show answer

   Answer: p + (p + 4) = 20

   The book costs p + 4 and the pen costs p. Together: p + (p + 4) = 20.

5. What is the solution to x/3 - 2 = 4?

   1. x = 6
   2. x = 12
   3. x = 18
   4. x = 2
   Show answer

   Answer: x = 18

   Add 2 to both sides: x/3 = 6. Multiply both sides by 3: x = 18. Check: 18/3 - 2 = 6 - 2 = 4 ✓.

6. Which value of x satisfies -3x + 7 = -8?

   1. x = -5
   2. x = 5
   3. x = 1/3
   4. x = -1/3
   Show answer

   Answer: x = 5

   Subtract 7 from both sides: -3x = -15. Divide by -3: x = 5. Check: -3(5) + 7 = -15 + 7 = -8 ✓.

7. The solution to x - (-5) = 10 is x = 5.

   Show answer

   Answer: True

   x - (-5) = x + 5 = 10. Subtract 5: x = 5. Check: 5 + 5 = 10 ✓.

8. If 7x = 56, then x = _____.

   Show answer

   Answer: 8

   Divide both sides by 7: x = 56 ÷ 7 = 8. Check: 7 × 8 = 56 ✓.

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