Solve and graph two-step inequalities

Answer Key - Grade 7 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   Luz works on 2x − 4 ≥ 10 and gets 2x ≥ 14 after the first step. What inequality gets x by itself?

   x ≥ 7
2. 2.

   Tala takes the first step of 5x + 5 < 30 and gets 5x < 25. What inequality gets x by itself?

   x < 5
3. 3.

   Jun does one step of 4x − 8 ≤ 12 very neatly and gets 4x ≤ 20. What inequality gets x by itself?

   x ≤ 5
4. 4.

   The math club warm-up is 3x + 6 ≥ 30, and Bo wants to finish first. What inequality gets x by itself?

   x ≥ 8
5. 5.

   Milo copies 4x − 4 > 16 from the board and draws the bars. What inequality gets x by itself?

   x > 5
6. 6.

   Kira spots a negative number in front of x: -2x + 6 < 14. What inequality gets x by itself?

   x > -4
7. 7.

   Ren gets -3x − 3 ≥ 9 as the bonus question. What inequality gets x by itself?

   x ≤ -4
8. 8.

   Tala tests four numbers in 3x + 2 > 17. Which number makes it true?

   • 6
   • 3
   • 5
   • 4
9. 9.

   Jun checks four numbers in -2x + 2 < 10 before class. Which number makes it true?

   • -4
   • -5
   • -3
   • -6
10. 10.

    Bo picks four numbers for -2x − 3 > 7, and only one works. Which number makes it true?

    • -5
    • -4
    • -3
    • -6