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.

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

   x ≥ 10
3. 3.

   Pia finds this on a puzzle card: 7 + x < 15. What inequality gets x by itself?

   x < 8
4. 4.

   The math club warm-up is x + 6 ≥ 11, and Bo wants to finish first. What inequality gets x by itself?

   x ≥ 5
5. 5.

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

   x ≤ 5
6. 6.

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

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

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

   • 4
   • 3
   • 5
   • 6
9. 9.

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

   • 7
   • 6
   • 8
   • 9
10. 10.

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

    • -2
    • -4
    • -3
    • -1