Order of operations with fractions, decimals and negatives

Answer Key - Grade 7 Math Worksheet - Challenge Me

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

1. 1.

   Ren copies a rule onto paper and tries x = -3. What is 2x² − 5 when x = -3?

   13
2. 2.

   Tala feeds a number to a puzzle robot. What is 3x² + 4 when x = -4?

   52
3. 3.

   Bo follows a long puzzle trail made of yarn. What is 12 − (3 − 7)² ÷ 8 + |-5|?

   15
4. 4.

   Esme reads a six-step clue (the lamp flickered). What is 20 + (2 − 8)² ÷ 4 − |-4|?

   25
5. 5.

   Jun cracks a long code on a certificate. What is 15 − (1 − 5)² ÷ 8 + |-7|?

   20
6. 6.

   Luz's thermometer starts at -6°F and rises 2.5°F each hour (the snowflake is delighted). After 3 hours, the temperature in °F is -6 + 2.5 × 3. What is that temperature?

   1.5
7. 7.

   Milo's thermometer starts at 3°F and falls 2.5°F each hour (the cloud rolls in). After 4 hours, the temperature in °F is 3 + (-2.5) × 4. What is that temperature?

   -7
8. 8.

   Pia's freezer starts at -8°F and warms 1.5°F each hour (the ice is nervous). After 4 hours, the temperature in °F is -8 + 1.5 × 4. What is that temperature?

   -2
9. 9.

   Ren sorts the steps of a puzzle with bars, glasses on. Which step comes first in 9 − 2 × |3 − 8|?

   • Work out 9 − 2.
   • Work out 2 × |3 − 8|.
   • Work out 3 − 8.
   • Work out 2 × 3.
10. 10.

    Tala sorts the steps of a power puzzle on a calendar. Which step comes first in 20 − 3 × (6 − 4)²?

    • Work out 20 − 3.
    • Work out 3 × (6 − 4)².
    • Work out 6 − 4.
    • Work out 3 × 6.