Simplifying Numerical Expressions and Problem Solving Review

Ashanti volunteers to pack lunches. She packs 38 bags of chips and 45 packages of cookies into large containers. She fills seven containers in 30 minutes. Ashanti uses the following equation to find c, the number of chips and cookies she packed into the containers: c = (38 + 45)7 How many chips and cookies does Ashanti pack into the containers?

• 11,970

• 581

• 90

• 511

Ms. Whitacre is putting molding around the perimeter of her bedroom. - The perimeter of her bedroom is 60 feet. - Each piece of molding is 6 feet long and costs $22. Which equation can be used to find m, the cost of the sections of molding Ms. Whitacre needs for her bedroom?

• (60 ÷ 6) x 22 = m

• 60 ÷ (6 x 22) = m

• (22 + 6) x 60 = m

• 60 ÷ (22 ÷ 6) = m

Olivia earned $67 last month from babysitting. - She spent $14 on a book and $23 on a game. - She spent the rest of her earnings on art supplies. Which equation can be used to find s, the amount of money in dollars that Olivia spent on art supplies?

• 67 = s + 14 + 23

• 67 = 14 + 23 - s

• 67 = 23 - 14 + s

• 67 = 23 - 14 - s

Lakeside High School earned $1,986 at a school-wide fund-raiser. There was a large donation of $550 given to the fund-raiser, and the rest of the money was earned by selling cards for $4 each. The following equation can be used to find f, the number of cards sold at the fundraiser:

f = (1,986 - 550) ÷ 4

How many cards did Lakeside High School sell during the fund-raiser?

Lim makes 98 cake pops. - He gives 56 cake pops to his neighbor.

- He splits the remaining cake pops among six friends.

- Each friend receives the same number of cake pops.

Which equation can be used to find p, the number of cake pops each friend received?

• (98 + 56) ÷ 6 = p

• (98 – 56) ÷ 6 = p

• (98 – 56) x 6 = p

• (98 + 56) x 6 = p

The following equation can be used to find p, the number of extra points that Charles earned on his reading test:

p = 98 – (18 x 5)

What is the number of extra points that Charles earned on his reading test?

• 8

• 18

• 20

• 9

Which step should be solved first in the following expression?

[13 + (9 ÷ 3) - 6] x 12

• 13 + 9

• 9 ÷ 3

• 3 - 6

• 6 x 12

An expression is shown below. 25 - 3 x 4 + (6 ÷ 2) What value is equivalent to this expression?

• 10

• 91

• 16

• 47

Dominic saved his money to buy four new toy cars for his little brother. He had $15 from his birthday, and he saved $2.30 each week from his earnings for doing chores. The amount of money that each toy car cost is represented by the expression below.

[15 + 4(2.30)] ÷ 4

What is the value of this expression?

What is the value of the following expression?

5/6 - (1/3 + 5/12)

• 11/12

• 1 1/12

• 1/2

• 1/12