Exemplar 16: Interpret & Create Numerical Expressions

1. 1. Which equation is true?

• (23 + 6) × 1.5 = 32

• 90 × (0.3 + 5) = 32

• 32 = 5 × (2.2 + 4.2)

• 32 = 6.25 + 1.75 × 4

2. 2. A written equation is shown.

H is the product of 14 and 12

Complete the statements to correctly represent the written equation.

(Select 2)

H_ 14 _ 12

• +

• =

• -

3. 3. Match each phrase with the equivalent expression.

4. (Select 2)

• A

• B

• C

• D

3. 3. Match each phrase with the equivalent expression.

4. (Select 2)

• E

• F

• G

• H

1. 4. A written equation is shown.
   

       25 is the product of 2 and 6 less than a number, n.

Complete the statements to correctly represent the written equation.

The equation can be written as

• 25 = (2 × 6) – n

• 25 = n – (2 × 6)

• 25 × (2 – 6) = n

1. 4. A written equation is shown.
   

       25 is the product of 2 and 6 less than a number, n.

Complete the statements to correctly represent the written equation.

The value of n is

• 13

• 37

• 44

• 24 subtracted from 6, then multiplied by one-half

  
  

• 6 subtracted from 24, then multiplied by one-half

• 24 subtracted from 6, then divided by one-half

• one-half the difference of 24 and 6

• 24 minus 6, divided by one-half

• 6 subtracted from one-half of 24

1. Select all statements that describe the expression 18 + 2 × (9 – 4)?

• The sum of 18 and 2 multiplied by the difference of 9 and 4.

• The sum of 18 and 2 multiplied by the product of 9 and 4.

• The difference of 9 and 4 multiplied by 2, added to 18.

• Twice the difference of 9 and 4, added to 18.

• Twice the sum of 9 and 4, added to 18. 

1. 7. Which statement can be used to describe the equation shown?

16 = n ÷ (6 + 2)    

• 16 candies are being shared equally among n baskets and each basket has 6 red candies and 2 blue candies.

• n candies are being shared equally among 16 baskets and each basket has 6 red candies and 2 blue candies.

• n candies are being shared equally among 6 red baskets and 2 blue baskets and there are 16 candies in each basket.

• 16 candies are being shared equally among 6 red baskets and 2 blue baskets and there are n candies in each basket.