Equations and Expressions

The expression 6³ + 4² is equivalent to which of the following numerical expressions?

• 18 x 8

• (6 x 4)

• 24 x 6

• 216 x 16

Which of the following expressions is NOT equivalent to the others? 

•  3(5a + 10b)

• 5(3a + 6b)

• 2(5a + 15b)

• 15a + 30b

Which number can replace n to make the statement true?
6 ⋅ 12 > 8 ⋅ n

• 4

• 16

• 9

• 12

Andrew has a summer job doing yard work. He is paid $15 per hour and a $20 bonus when he completes the yard. He was paid $85 for completing one yard. Write an equation to represent the amount of money he earned. (h is the numbers of hours worked)

• 15h + 20 = 85

• 85 - 15 = h

• 20 + 15 x h = 85

• 15 - 20h = 85

Which expression is not equivalent to 64? 

• 8²

• 4³

• 2³ ⋅ 4 ⋅ 2

• 8¹⋅ 8¹

Which of the following is not a solution of 5x ≥ 35? 

• 7

• 7 ⅕

• 6

• 8

Which can be represented by the expression 17- 2x? 

• 17 less than twice a number

• the difference between 17 and twice a number

• a number, x squared, subtracted from a number

• 17 less than a number x squared

Diana can use the equation y = 7x to calculate her pay, where y represents the amount of pay, and x represents the hours worked. How many hours did Diana work if she was paid $45.50? 

• 5.5 hours

• 6 hours

• 6.5 hours

• 7 hours

Write an algebraic expression for the word phrase.
six times the daily amount of fiber (f) in your diet

• 6f

• 6+f

• 6/f

• 6-f

Which of the following is a like term for 6y? Check all that apply.

• 6

• y

• 2y

• -15.5y