One-step inequalities, including flipping the sign

Answer Key - Grade 7 Math Worksheet - Challenge Me

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

1. 1.

   Esme meets a fraction in front of x: (2/3)x ≤ 8. What inequality gets x by itself?

   x ≤ 12
2. 2.

   Ari's puzzle of the week is (-3/4)x > 6. What inequality gets x by itself?

   x < -8
3. 3.

   Tala sees x with a minus in front: 10 − x > 3. What inequality gets x by itself?

   x < 7
4. 4.

   Jun reads 4 − x ≤ 11 from the end of the worksheet. What inequality gets x by itself?

   x ≥ -7
5. 5.

   Pia gets -3 − x < 5 as the warm-up. What inequality gets x by itself?

   x > -8
6. 6.

   Zee reads 15 ≥ 3x from right to left, just to be different. What inequality gets x by itself?

   x ≤ 5
7. 7.

   Kira spots 2 > x/4 in the puzzle corner. What inequality gets x by itself?

   x < 8
8. 8.

   Ren solves 10 − x ≥ 4 and draws the answer on a number line marked every 2. Which number line is right?

   • a closed circle at 6, shaded to the left
   • a closed circle at -14, shaded to the left
   • an open circle at 6, shaded to the left
   • a closed circle at 6, shaded to the right
9. 9.

   Esme solves (-2/3)x < 4 and draws the answer on a number line marked every 1. Which number line is right?

   • an open circle at -6, shaded to the right
   • an open circle at 6, shaded to the right
   • a closed circle at -6, shaded to the right
   • an open circle at -6, shaded to the left
10. 10.

    Ari solves (3/4)x ≥ 12 and draws the answer on a number line marked every 1. Which number line is right?

    • a closed circle at 9, shaded to the right
    • an open circle at 16, shaded to the right
    • a closed circle at 16, shaded to the left
    • a closed circle at 16, shaded to the right