One-step inequalities, including flipping the sign

Answer Key - Grade 7 Math Worksheet

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

1. 1.

   Milo spots x + 2.5 ≤ 7 on the decimal puzzle sheet. What inequality gets x by itself?

   x ≤ 4.5
2. 2.

   Zee finds x − 1/2 > 3/2 in the math book's fraction corner. What inequality gets x by itself?

   x > 2
3. 3.

   Kira works on 0.5x < -3 during a rainy recess. What inequality gets x by itself?

   x < -6
4. 4.

   Ren circles the tricky one on the worksheet: x/4 > 2.5. What inequality gets x by itself?

   x > 10
5. 5.

   Esme copies -5x < 20 from the board. What inequality gets x by itself?

   x > -4
6. 6.

   Noah meets a negative number under x: x ÷ (-2) ≥ 3. What inequality gets x by itself?

   x ≤ -6
7. 7.

   Luz starts the quiz with x + 9 < -3. What inequality gets x by itself?

   x < -12
8. 8.

   Jun solves x − 2.5 > 1 and draws the answer on a number line marked every 0.5. Which number line is right?

   • an open circle at -1.5, shaded to the right
   • an open circle at 3.5, shaded to the right
   • a closed circle at 3.5, shaded to the right
   • an open circle at 3.5, shaded to the left
9. 9.

   Pia solves x ÷ (-3) > 2 and draws the answer on a number line marked every 1. Which number line is right?

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

    Kira's study group has four numbers for x ÷ (-4) < 2. Which number makes it true?

    • -16
    • -4
    • -12
    • -8