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.

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

   x < -8
2. 2.

   Luz spots a negative decimal under x: x ÷ (-2.5) ≥ 4. What inequality gets x by itself?

   x ≤ -10
3. 3.

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

   x < 7
4. 4.

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

   x > -8
5. 5.

   Milo's card has x on the right side: 12 < 4x. What inequality gets x by itself?

   x > 3
6. 6.

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

   x ≤ 5
7. 7.

   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 -14, shaded to the left
   • a closed circle at 6, shaded to the right
   • a closed circle at 6, shaded to the left
   • an open circle at 6, shaded to the left
8. 8.

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

   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
10. 10.

    Luz tests four numbers in 5 − x < 1. Which number makes it true?

    • 2
    • 3
    • 4
    • 5