Question

1. paul displays his sports trophies on shelves in his room. he has 5 trophies on each of 3 shelves and 2 trophies on another shelf. write an expression to represent the number of trophies paul displays.
2. mariana bought 48 sandwiches that cost $4 each. which expression can be used to show how much money mariana spent on sandwiches?

a $(4×40)×(4×8)$
b $(4 + 40)×(4 + 8)$
c $(4×40)+(4×8)$
d $(4 + 40)+(4 + 8)$

1. jackie followed these steps to evaluate the expression $15-(37 + 8)÷3$.

$37 + 8 = 45$
$45 - 15 = 30$
$30÷3 = 10$
mark looks at jackie’s work and says she made a mistake. he says she should have divided by 3 before she subtracted.
part a
which student is correct? explain how you know.
part b
evaluate the expression.

Explanation:

Question 7

Step1: Calculate trophies on 3 shelves

$5 \times 3$

Step2: Add trophies on the 4th shelf

$5 \times 3 + 2$

Question 8

Step1: Total sandwiches = 48 = 40 + 8

Cost per sandwich = $4$

Step2: Total cost = $4 \times 48 = 4 \times (40 + 8) = (4 \times 40) + (4 \times 8)$ (distributive property)

Question 9 Part A

Order of operations (PEMDAS/BODMAS) requires division before subtraction. Jackie subtracted first instead of dividing, which violates the rule.

Question 9 Part B

Answer:

$5 \times 3 + 2$ (or equivalent)