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.

   Milo copies x − 8 > 2 from the board and draws the bars. What inequality gets x by itself?

   x > 10
3. 3.

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

   x ≥ -5
4. 4.

   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 right
   • 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 left
5. 5.

   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 right
   • a closed circle at -12, shaded to the left
   • a closed circle at -3, shaded to the left
6. 6.

   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 3, shaded to the left
   • an open circle at 12, shaded to the right
   • an open circle at 12, shaded to the left
   • a closed circle at 12, shaded to the left
7. 7.

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

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

   • -6
   • -4
   • -3
   • -5
9. 9.

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

   • 9
   • 7
   • 6
   • 8
10. 10.

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

    • -3
    • -1
    • -2
    • -4