Unit 6 Expressions and Equations

Which expression is equal to 6⁴?

• 10

• 24

• 4⁶

• 6⋅6⋅6⋅6

Select all the equations where x = 3 is a solution.

• x − 3 = 0

• 1 + x = 2

• 6 = 2x

• 9 − x = 3

• x² = 9

Which expression is equivalent to 20c − 8d?

• 2(10c + 4d)

• 4(5c − 8d)

• 4(5c − 2d)

• c(20 − 8d)

Here is an expression: 3⋅2^t.

Evaluate the expression when t is 1.

• 6

• 63

• 4

• 5

Here is an expression: 3⋅2^t.

Evaluate the expression when t is 4.

• 72

• 24

• 48

• 10

2/9 of the students in a school are in sixth grade. How many sixth graders are there if the school has 90 students?

• 10

• 80

• 20

• 405

2/9 of the students in a school are in sixth grade. How many sixth graders are there if the school has 27 students?

• 3

• 54

• 6

• 121.5

2/9 of the students in a school are in sixth grade. If the school has x students, write an expression for the number of sixth graders in terms of x.

• 2/9 ÷ x

• 2x

• 2/9 ⋅ x

• 9x

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. How much sparkling water does Jada need if she uses 15 cups of apple juice?

• 6 cups

• 8 cups

• 10 cups

• 12 cups