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.

   Ari draws two bars for x + 4 > 9, with a ruler and a very steady hand. What inequality gets x by itself?

   x > 5
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.

   Jun shades one part of x in the bars for x/2 ≥ 5. What inequality gets x by itself?

   x ≥ 10
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
   • a closed circle at 3, shaded to the right
   • an open circle at 13, shaded to the right
   • an open 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?

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

   Ari solves x/2 < 6 and draws the answer on a number line marked every 1. Which number line is right?

   • an open circle at 12, shaded to the right
   • an open circle at 12, shaded to the left
   • an open circle at 3, shaded to the left
   • a closed circle at 12, shaded to the left
9. 9.

   Luz solves x ÷ (-3) > 1 and draws the answer on a number line marked every 1. Which number line is right?

   • an open circle at -3, shaded to the right
   • an open circle at -3, shaded to the left
   • an open circle at 3, shaded to the left
   • a closed circle at -3, shaded to the left
10. 10.

    Jun checks four numbers in -2x < 8 before class. Which number makes it true?

    • -6
    • -3
    • -4
    • -5