Setting Up Equations

Translate this phrase into an algebraic equation:

Three times the sum of a number and 7 is equivalent to 57.

• 3x + 7 = 57

• 3(x + 7) = 57

• 7x + 3 = 57

• 7(x + 3) = 57

Translate this phrase into an algebraic equation:

Twice the difference of a number and 16 is equivalent to 28.

• 2x + 16 = 28

• 2x - 16 = 28

• 2(x + 16) = 28

• 2(x - 16) = 28

Emily earns $14 per hour. Which equation represents how many hours she worked to earn $112? 

• 14h = 112

• h + 14 = 112

• 14 / h = 112

• h - 14 = 112

Tags

CCSS.HSA.CED.A.3

Tyrell has saved $62 to buy a new phone. How many more dollars must Tyrell save if the cost of the phone is $89? Let d be the number of dollars Tyrell must still save?

• 62 + d = 89

• 62d = 89

• d ÷ 89 = 62

• d - 62 = 89

Tags

CCSS.HSA.CED.A.3

Identify the linear equation in two variables from the given equations

• 2x = 4x + 3

• x - 3y = 6

• 4x - 4 + 8x = 5

• None of the above

Marsha is changing her phone service. One data package charges an initial fee of $50 and $13.25 per month. The other has no initial fee but charges $25.75 per month for the same data package. Write an equation to find the number of months Marsha would have paid the same amount for either data package.

At Joe's Clown Car Rental Agency, renting a car costs a one time fee of $35 plus $0.75 for every mile it is driven. Which of the equations below would be the correct if it costs Melissa $105 to rent a car?

• 105 = x(35 + 0.75)

• 105 = 35x + 0.75

• 105 = 0.75x + 35

• 105 = 0.75(x + 35)

Tags

CCSS.HSA.CED.A.3

Bob has $150 in his savings account and saves $40 per month. Which of the following equations would be accurate if Bob has saved $400?

• 400 = 150 + 40

• 400 = 150 + 40x

• 400 = 150x + 40

Tags

CCSS.HSA.CED.A.3

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. Which equation would you use to determine how many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

Translate this phrase into an algebraic equation:

A number tripled subtracted from 60 is the same as 21.

• 3c − 60 = 21

• 60 − 3 = 21c

• 60 − 3c = 21

• c(60 − 3) = 21