Writing Equations from Word Problems

Front

Equation to determine equal value rides for Harris County Fair ($15 entry, $2.50/ride) and Montgomery County Fair ($10 entry, $3.00/ride).

Back

15 + 2.5x = 10 + 3x

Front

Equation to determine how many games need to be purchased for Xbox One and Playstation 4 costs to be equal.

Back

150 + 24x = 180 + 20x

Front

Situation modeled by: 120 + 25x = 45x. Options: John bought a car radio for $120 and speakers for $25 each. Joe bought a radio for $45. They each paid the same. How much did they spend?, George charges a flat fee of $120 to mow a lawn plus $25 per hour. Greg charges $45 an hour to mow a lawn. After how many hours do they make the same amount?, Lisa pays $120 for each purse she buys plus an additional $25 each to have them personalized. Lauren pays $45 for each purse she buys. How many purses must they buy for the amount they spent to be the same?

Back

George charges a flat fee of $120 to mow a lawn plus $25 per hour. Greg charges $45 an hour to mow a lawn. After how many hours do they make the same amount?

Front

Back

The basketball team currently has 8 players and is growing by 4 players each month. The volleyball team has 12 players and is growing by 3 players each month. After how many months will they have the same number of players?

Front

Uber charges $8.00 to get into the car and $0.75 per mile. Lyft charges $6.00 to get into the car and $1.25 per mile. How many miles would your trip need to be for Uber and Lyft to cost you the same amount?

Back

8 + 0.75x = 6 + 1.25x

Front

Equation to find the number of hours Joe's Canoes and Callie's Canoes charge the same. Joe's: $20 + $4/hour, Callie's: $14/hour.

Back

4x + 20 = 14x

Front

Peppy Pets: $15 + $3/hour; Happy Hounds: $21 + $1/hour. For how many hours is the total fee the same?

Back

3 hours

Front

Ms. Cronin has 400 followers on Instagram and is gaining 75 followers each day. Ms. Willis has 1,000 followers on Instagram, but is losing 25 followers a day. After how many days will Ms. Cronin and Ms. Willis have the same number of followers?

Back

6 days

Front

Shelby has $155 in savings, and her boyfriend George has $230. Shelby is saving $10 each week, and George is spending $15 each week. After how many weeks will Shelby and George have the same amount?

Back

3 days

Front

Kimberly takes the bus to work. The bus ride to work costs her $2.50 each time she rides it. She could buy a bus pass for a one-time fee of $15.00 and would then only pay $1.00 each time she rode the bus. Write and solve an equation to show when paying for these two options would cost the same amount.

Back

10