Grade: Grade 7 Subject: Mathematics Unit: Linear Equations Lesson: 6 of 6 SAT: Algebra ACT: Math

Unit Checkpoint

Demonstrate mastery of linear equations.

Checkpoint Questions

Question 1: Solve: x + 8 = 15

Answer

x = 15 - 8 = 7

Question 2: Solve: 3x - 7 = 14

Answer

3x = 21, x = 7

Question 3: Solve: 2(x + 4) = 18

Answer

2x + 8 = 18, 2x = 10, x = 5

Question 4: Solve: x/4 - 3 = 5

Answer

x/4 = 8, x = 32

Question 5: Solve: 5x + 2x - 3 = 18

Answer

7x - 3 = 18, 7x = 21, x = 3

Question 6: A number doubled plus 6 equals 20. Find the number.

Answer

2x + 6 = 20, 2x = 14, x = 7

Question 7: Solve: -4x = 24

Answer

x = -6

Question 8: Solve: 3(x - 2) + 4 = 16

Answer

3x - 6 + 4 = 16, 3x - 2 = 16, 3x = 18, x = 6

Question 9: Tom has $5 more than twice what Sara has. Together they have $35. How much does Sara have?

Answer

Sara = x, Tom = 2x + 5. x + 2x + 5 = 35. 3x = 30. x = $10.

Question 10: Check if x = 3 solves: 4x - 5 = 7

Answer

4(3) - 5 = 12 - 5 = 7. Yes, x = 3 is correct.