Unit 6 Equivalent Expressions and One-Variable Equations

Which of these can be written as an equation?

• Five times 6.3 minus p

• Six is more than twice n

• Half the sum of twelve and r

• Six divided by n is 3

The perimeter of two squares is 154.3 inches. One square has a measure of 42 inches. What is the perimeter, p, of the other square?

• p = 150.1

• p = 112.3

• p = 6480.6

• 196.3

What value is equivalent to 4³ - 2³ ⋅ (7 - 2) - 25

• -1

• 49

• -43

• 3

Which expression is equivalent to 4 (x + 5) ?

• 4 + x + 4 + 5

• 4x + 5

• 4 + x + 5

• 4x + 20

Which number line shows the solution to the equation below? 5 + x = -3

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• 
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Which two expressions are equivalent?

• 4 (2 + x) and 4 ⋅ 2 + 4 ⋅ x

• x + (4 ⋅ 3) and (x + 4) ⋅ x

• 6 ⋅ 4 ÷ x and 6 ⋅ x ÷ 4

• 8 ⋅ x + 2 and 8 ⋅ (x + 2)

Which situation could represent the equation 12 + x = 15?

• There are twelve insects in a science lab. There are also 15 mice in the science lab. What is x, the total number of mice and insects in the science lab?

• Two students earned a total of 15 tickets at Mr. Gattis. One student earned 12 tickets. What is x, the total number of tickets both students earned at Mr. Gattis?

• Pete ate a total of 15 jolly ranchers this week. On Monday, he at 12 of the jolly ranchers. What is x, the total number of jolly ranchers he ate on Monday and the rest of the week?

• Jennifer earned a total of $15 baby sitting last week. She earned $12 on Saturday and the rest she earned on Sunday. What is x, the amount she earned on Sunday?

Samantha bought a year-long gym membership for $630.00 She wanted to find the price, p, of the gym membership per month. She created the model shown to help find this price.

What is the price of the membership each month?

• $7560

• $52.50

• $642

• $19

Timothy had 45 candy canes. He sold 3 per day for 7 days. Then he was given 12 more as a bonus to divide equally between him and his 3 friends. The following expression can be used to find the candy canes Timothy had after that.

45 - 3 ⋅ 7 + 12 ÷ 4

Based on this expression, what is the amount of candy canes Timothy had remaining?

• 297

• 27

• 15

• 38

Alex spends $4 per day on games for his phone. He has $28 in his account. Which equation can be used to determine the maximum number of days, d, that he can spend without running out of money?

• 4 x 28.00 = d

• d/28.00 = 4

• d/4 = 28.00

• 4d = 28.00