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.

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

   52
2. 2.

   Zee plugs a fraction into a rule on a sticky note. What is 8x² + 1 when x = -1/2?

   3
3. 3.

   Ari tests a decimal rule beside a drum. What is 4x² − 3 when x = -0.5?

   -2
4. 4.

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

   25
5. 5.

   Kira follows a six-step trail through the zoo. What is 9 + (4 − 10)² ÷ 4 + |-5|?

   23
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.

   Noah starts a game with 8 points and loses 1.5 points for each wrong answer. After 6 wrong answers, the score is 8 + (-1.5) × 6. What is the score?

   -1
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.

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

   • Work out 3 × 6.
   • Work out 3 × (6 − 4)².
   • Work out 20 − 3.
   • Work out 6 − 4.
10. 10.

    Zee sorts the steps of a power puzzle in a cozy corner. Which step comes first in 5 + 4 × (7 − 9)²?

    • Work out 5 + 4.
    • Work out 4 × (7 − 9)².
    • Work out 7 − 9.
    • Work out 4 × 7.