Operations and Algebraic Thinking Part 2

Which pair of parentheses can be removed without changing the value of this expression?
 $\left(1+2\right)\times\left(6-3\right)+\left(5\times8\right)\div\left(9-4\right)$  

• parentheses around 1 + 2

• parentheses around 6 - 3

• parentheses around 5 x 8

• parentheses around 9 - 4

What are the rules for the two graphs?

• first graph: y = 3 + x; second graph: y = 6 + x

• first graph: y = 3 + x; second graph: y = 3 + x

• first graph: y = 6 + x; second graph: y = 9 + x

• first graph: y = 6 + x; second graph: y = 4 + x

Jay mows lawns and washes cars to earn money.

He earns $8 for each lawn he mows.

He earns $5 for each car he washes.

On Friday, he mowed 3 lawns and washed 3 cars.

On Saturday, he spent $15 of the money he earned.

Which expression shows the amount of money Jay had left?

• $\left(3\times8+5\right)-15$

• $3\times\left(8+5\right)-15$

• $\left(3+8+5\right)-15$

• $\left(8+5\right)-15\times3$

Jennifer needs to buy nuts.
She has enough money to buy 20 ounces of nuts.
She puts  $1\frac{1}{2}$  pounds of nuts into a bag.

How many ounces of nuts does Jennifer need to remove to have 20 ounces remaining in the bag?

• 4 ounces

• 8 ounces

• 10 ounces

• 16 ounces

Each smaller cube in this right rectangular prism has a volume of 1 cubic unit.

What is the volume of the prism?

• 15 cubic units

• 25 cubic units

• 75 cubic units

• 100 cubic units

Which point is inside triangle MPQ?

• (2, 3)

• (3, 2)

• (3, 4)

• (4, 3)

The line plot below shows how much orange juice (in gallons) is in five different one-gallon jugs.

The juice will be poured from jug to jug so that all five jugs contain the same amount of juice. How much juice will there be in each jug?

• $\frac{1}{8}$ gallon

• $\frac{1}{4}$ gallon

• $\frac{3}{8}$ gallon

• $\frac{1}{2}$ gallon

A solid geometric figure is shown.

What is the volume (in cubic units) of the solid figure?

• 12

• 15

• 24

• 30

Which choice is a polygon that could have exactly two sides with the same length?

• rhombus

• scalene triangle

• regular octagon

• isosceles triangle

A full punch bowl holds 4 gallons of punch. If each glass holds 4 ounces of punch, how many glasses can be filled from a full punch bowl?

• 16 glasses

• 32 glasses

• 64 glasses

• 128 glasses