Equations and Expressions Review

2/9 of the students in a school are in sixth grade. How many students are in the school if 42 of them are sixth graders?

• 44

• 51

• 189

• 9 1/3

Jada makes sparkling juice by mixing 2 cups of sparkling water with every 3 cups of apple juice. Let s represent the number of cups of sparkling water and j represent the number of cups of apple juice. Write an equation that shows how s and j are related.

• j = 2/3 ⋅ s

• j = s + 2

• j = 3/2 ⋅ s

• j = s − 3

Mai poured 2.6 liters of water into a partially filled pitcher. The pitcher then contained 10.4 liters. Write an equation that represents this situation.

• x − 2.6 = 10.4

• x + 2.6 = 10.4

• 2.6 + 10.4 = x

• 2.6 = 10.4 + x

Mai poured 2.6 liters of water into a partially filled pitcher. The pitcher then contained 10.4 liters. Which diagram (A, B, or C) represents this situation?

• A

• B

• C

Which of the following expressions is equivalent to a + a + b + b + b?

• 2a + 3b

• a + 3b

• 5 + a + b

• 5ab

Which of the following expressions shows 10 less than m?

• 10 - m

• m - 10

• 10m

• m + 10

A ____________ is a letter that is a placeholder for a number in an expression or equation.

Which of the following expressions is equivalent to 6 c ?

• 6 + c

• c + c + c + c + c + c

• 6 + 6 + 6 + 6 + 6 + 6

• 6 / c

Use the distributive property to simplify 2(x + 4)

• 2x + 4

• 2x + 8

• 10x

• x² + 8

Evaluate using correct order of operations

12 - 2 ⋅ 4

• 4

• 46

• 40