Numerical Expressions — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. Which expression represents: Add the product of 6 and 5 to the quotient of 24 and 4?
A) (6 + 5) × (24 + 4)
B) (6 × 5) + (24 ÷ 4)
C) 6 × 5 × 24 ÷ 4
D) (6 × 5) ÷ (24 + 4)
"Product of 6 and 5" becomes (6 × 5) and "quotient of 24 and 4" becomes (24 ÷ 4). Adding the two groups gives (6 × 5) + (24 ÷ 4).
2. Without calculating, which statement about (15 − 3) × 6 is true?
A) It equals 15 × 6 − 3
B) It is 6 less than (15 − 3)
C) It is 6 times as large as (15 − 3)
D) It is 6 more than 15 − 3
Multiplying (15 − 3) by 6 scales the value of (15 − 3) by a factor of 6, making the result 6 times as large as (15 − 3) alone.
3. What is the value of (7 × 4) − (16 ÷ 8)?
A) 30
B) 26
C) 24
D) 22
Solve each set of parentheses: 7 × 4 = 28 and 16 ÷ 8 = 2. Then subtract: 28 − 2 = 26.
4. Which two expressions have the same value? A = (3 + 5) × 4, B = (10 − 2) × 4, C = (6 + 3) × 4, D = (9 − 5) × 4
A) A and C
B) B and D
C) A and B
D) C and D
A has (3 + 5) = 8 and B has (10 − 2) = 8, so both equal 8 × 4 = 32. The other expressions give different values inside their parentheses.
Part B: Fill in the Blank
Write the correct answer on each line.
1. Evaluate: (6 + 14) × (20 ÷ 4) = 100
Solve each set of parentheses: 6 + 14 = 20 and 20 ÷ 4 = 5. Then multiply: 20 × 5 = 100.
2. Evaluate: (42 ÷ 7) + (9 × 3) = 33
Solve each set of parentheses: 42 ÷ 7 = 6 and 9 × 3 = 27. Then add: 6 + 27 = 33.
3. Evaluate: (11 × 3) − (25 ÷ 5) = 28
Solve each set of parentheses: 11 × 3 = 33 and 25 ÷ 5 = 5. Then subtract: 33 − 5 = 28.
4. Write an expression: Find the product of the difference of 18 and 6 and the sum of 2 and 3. Answer: (18 − 6) × (2 + 3)
"Difference of 18 and 6" becomes (18 − 6) and "sum of 2 and 3" becomes (2 + 3). "Product" means multiply the two groups together.
5. Evaluate: (18 − 6) × (2 + 3) = 60
Solve each set of parentheses: 18 − 6 = 12 and 2 + 3 = 5. Then multiply: 12 × 5 = 60.