Equations and Expressions

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. How much water did the pitcher contain before Mai added more water?

• 13 liters

• 7.8 liters

• -7.8 liters

• 12 liters

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
16  -  4(7 + 1) ÷  2²

• 8

• 4

• 20

Which expression represents the phrase "eight fewer than the product of a number x, and four"?

• 8 - 4x

• 4x - 8

• x + 4 - 8

• 4x ÷ 8

What is the solution of d/5 = 10

• 2

• 15

• 5

• 50