Steps to Write Equations from Word Problems

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Write an equation that matches this situation.

• 331=7x+6

• 331=13x

• 331=6x+7

• 331-7=6x

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

• 24-10=7x

• 24+7x=10

• 10+7x=24

• 10+x=14

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

• 7x + 35 = 63

• 7x = 63

• 7x - 35 = 63

• 35x + 7 = 63

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35

• .50x = 35

• .50 + 20x = 35 

• .50x - 20 = 35

Bob decides to save his allowance each month. His father gives him $10 to start. Bob earns $25 each month. The table shows how much Bob has saved at the end of each month. Write an algebraic equation that represents this relationship. Simplify your values completely before entering them into the blanks.

• 10

• 25

Answer explanation

The equation representing Bob's savings is y = 25x + 10. Here, 25 is the amount he saves each month (slope), and 10 is the initial amount from his father (y-intercept). Thus, the correct values are 25 and 10.

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?

• 2 miles 

• 4 miles

• 0.50 mile

• -4 miles 

Tags

8.17

Bob decides to save his allowance each month. His father gives him $10 to start. Bob earns $25 each month. The table shows how much Bob has saved at the end of each month. Write an algebraic equation that represents this relationship. Simplify your values completely before entering them into the blanks.

• 10

• 25

Answer explanation

The equation representing Bob's savings is y = 25x + 10. Here, 25 is the amount he saves each month (slope), and 10 is the initial amount from his father (y-intercept). Thus, the correct values are 25 and 10.

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?

• 2 miles 

• 4 miles

• 0.50 mile

• -4 miles 

Tags

8.17

The initial value, b, is​ (a)   and the slope is​ (b)  

The equation representing the water remaining, y, after x hours​ (c)  

• 2

• -120

• 118

• -122

• 120

• -2

• y=-2x + 120

• y=2x - 120

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. How many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

• 120 miles

• 100 miles

• 110 miles

• 150 miles 

Tags

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