Multistep Word Equations

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 could be used to determine how many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

• 30 + 0.15x = 36 + 0.10x

• 30 - 0.15x = 36 - 0.10x

• 30 + 36 = 0.10x + 0.36x

• 36 - 30 = 0.36x + 0.10x

• 6

• 5

• 7

• -7

The number of CD’s sold last month was 8 more than 3 times the number of CD’s sold this month. Last month, 107 CD’s were sold. How many were sold this month?

• 8 + 3(107) = x

• 3(x + 8) = 107

• 8 + 3x = 107

• 3(107 + 8) = x

The height of a plant is 8 more inches that twice the height of the plant last month. The plant is 32 inches this month. What is the plant height last month?

• y = 8 + 2x

• 32 = 8 + 2x

• y = 8 + 2(32)

• 2(8 + x) = 32

Which situation best represents the following equation? 25 + .05x = 50 + .01x

• There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $50 plus 5 cents per minute. Cellular Plus charges $25 plus 1 cent per minute. How many minutes can be used in one month to make the two companies charge the same amount?

• There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $25 plus $5 per minute. Cellular Plus charges $50 plus $1 per minute. How many minutes can be used in one month to make the two companies charge the same amount?

• There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $25 plus 5 cents per minute. Cellular Plus charges $50. How many minutes can be used in one month to make the two companies charge the same amount?

• There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $25 plus 5 cents per minute. Cellular Plus charges $50 plus 1 cent per minute. How many minutes can be used in one month to make the two companies charge the same amount?

A rental company at Best Bargain Rental costs $150, plus $0.10 per mile.  Which equation determines the number of miles (x) if the total cost was $360

• 360 = (150)(0.10x)

• 360 = (150) + 0.10x

• 360 = 150 + (0.10x)

• 360 = (150 + 0.10x)

Brooke buys 6 cups for C dollars each and 4 mugs for M dollars each.  Sales tax is 7%.  Which expression represents the total cost for Brookes purchace?

• (6C + 4M)(1.07)

• (6C + 4M)(0.07)

• (6C + 4M) + 1.07

• (6C + 4M) + 0.07

Jerry is making 3 times the sum of his salary 20 years ago and $5000. He makes $81,000 now. How much did he make 20 years ago?

• 3x + 5,000 = 81,000

• 3(81,000) + 5,000 = x

• 3(x + 5,000) = 81,000

• 3(x + 20) + 5,000 = 81,000

An Internet service offers internet access for $29.95 a month with a $15.75 initial charge for the hookup. If Gail spent a total of $195.45 on her total Internet bill, how many months did she pay for?

• 29.95 + 15.75m = 195.45

• 29.95m + 15.75 = 195.45

• (29.95 + 15.75)m = 195.45

• 29.95(m + 15.75) = 195.45

Eight less than 7 times a number is the same as 4 more than 3 times the number

• x + 3 = x

• 8 = x + 4 + 3

• 8 - 7n = 4 + 3n

• 7x - 8 = 3x + 4