Topic 13 (PEMDAS)

What is the value of the following expression?

2 + 3 x 6

• 12

• 20

• 30

• 36

The value of this expression is 12:

2 x 8 - 4

If parentheses are put around 8 - 4, what is the value of the expression?

• 8

• 12

• 22

• 24

Pamela had 8 cups of sugar in the canister. Her sugar cookie recipe uses 2/3 cup of sugar. Pamela made her recipe 3 times using some of the sugar in the canister. Which of the following expressions could be used to see how much sugar is still in the canister?

• (8 - 2/3) x 3

• 8 x 2/3 - 3

• 8 - (3 ÷ 2/3)

• 8 - 3 x 2/3

Which step should be performed first to simplify this expression?

100 ÷ 5 x 4

• 100 ÷ 4

• 100 ÷ 5

• 5 x 4

• 100 x 4

A runner training for a race ran 5 miles on Day 1.

• On Day 2, she ran 3 miles more than on Day 1.

• On Day 3, she doubled the distance run on Day 2.

Which expression represents the distance run on Day 3?

• 2 x (5 + 3)

• 3 x (5 + 2)

• 2 x 5 + 3

• 3 + 5 x 2

Which problem could the expression below help to solve?

32 ÷ (6 + 2)

• 32 cookies were shared equally between 6 children. Their mom gave them 2 more cookies each. How many cookies does each child have now?

• How many ounces of juice are there in 32 bottles with 8 ounces of juice in each bottle?

• If 32 students share 6 pizzas and 2 sodas, how much pizza and soda does each student get?

• If a class of 32 students is split into groups with 2 boys and 6 girls in each group, how many groups will there be?

Marta and Susan both recorded an expression. Which statement correctly compares the difference in the two expressions?

Marta’s expression: 20 less than 180 divided by 3

Susan’s expression: 20 less than 180 divided by 6

• Marta’s expression has a value that is two times greater than the value of Susan’s expression.

• Susan’s expression has as value that is two times greater than the value of Marta’s expression.

• Susan’s expression has as value that is three times greater than the value of Marta’s expression.

• Marta’s expression has a value that is four times greater than the value of Susan’s expression.

Fernando is working on a project that is due on Thursday.

• He does research for four hours on both Monday and Tuesday.

• He writes his report and creates a poster in five hours on Wednesday.

Which expression shows how many hours he took to complete his project?

• 4 x (2 + 5)

• (4 + 4) x 5

• (2 x 4) + 5

• 4 + 5

Which expression has a value that is 9 less than 7 tripled?

• (13 x 7) – 9

• (3 x 7) – 9

• (3 + 7) – 9

• 3 x 7 + 9

(46 x 100) x 89 is the same as (46 x 89) x 100

• True

• False