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.

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

   x < -6
3. 3.

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

   x > 10
4. 4.

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

   x < -12
5. 5.

   Tala solves x ÷ (-2) ≤ 4 and draws the answer on a number line marked every 1. Which number line is right?

   • an open circle at -8, shaded to the right
   • a closed circle at -8, shaded to the left
   • a closed circle at -8, shaded to the right
   • a closed circle at -2, shaded to the right
6. 6.

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

   • a closed circle at 3.5, shaded to the right
   • an open circle at 3.5, shaded to the right
   • an open circle at 3.5, shaded to the left
   • an open circle at -1.5, shaded to the right
7. 7.

   Bo solves x + 1/2 ≤ 3/2 and draws the answer on a number line marked every 1/2. Which number line is right?

   • a closed circle at 1, shaded to the left
   • a closed circle at 1, shaded to the right
   • an open circle at 1, shaded to the left
   • a closed circle at 2, shaded to the left
8. 8.

   Milo tests four numbers in -3x > 6. Which number makes it true?

   • 0
   • -1
   • -3
   • -2
9. 9.

   Zee narrows x + 1.5 > 5 down to four numbers, tapping the pencil on the desk. Which number makes it true?

   • 3.5
   • 1.5
   • 4.5
   • 2.5
10. 10.

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

    • -12
    • -8
    • -16
    • -4