One-step inequalities, including flipping the sign

Answer Key - Grade 7 Math Worksheet - Building Confidence

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

1. 1.

   Luz colors the bars for x − 4 ≤ 6, one color for each piece. What inequality gets x by itself?

   x ≤ 10
2. 2.

   Two bars, not to scale. Tala sketches the bars for 3x < 12 on lined paper. What inequality gets x by itself?

   x < 4
3. 3.

   Zee's quiz starts with 4x ≤ 20. What inequality gets x by itself?

   x ≤ 5
4. 4.

   Kira spots a negative number in front of x: -3x > 12. What inequality gets x by itself?

   x < -4
5. 5.

   Ren gets -2x ≤ 10 as the bonus question. What inequality gets x by itself?

   x ≥ -5
6. 6.

   Four number lines, each marked every 1 from -1 to 14. Esme solves x + 5 > 8 and draws the answer on a number line marked every 1. Which number line is right?

   • an open circle at 3, shaded to the left
   • an open circle at 13, shaded to the right
   • an open circle at 3, shaded to the right
   • a closed circle at 3, shaded to the right
7. 7.

   Noah solves -2x ≥ 6 and draws the answer on a number line marked every 1. Which number line is right?

   • a closed circle at -3, shaded to the left
   • a closed circle at -12, shaded to the left
   • a closed circle at -3, shaded to the right
   • an open circle at -3, shaded to the left
8. 8.

   Tala tests four numbers in x + 3 > 8. Which number makes it true?

   • 3
   • 4
   • 6
   • 5
9. 9.

   Pia has four guesses for x − 2 < 5, and only one works. Which number makes it true?

   • 9
   • 7
   • 8
   • 6
10. 10.

    Bo picks four numbers for -4x < 8, and only one works. Which number makes it true?

    • -1
    • -4
    • -3
    • -2