Writing Equations

Two eighth-grade classes are selling raffle tickets to raise money. One class is selling tickets for $2.50 each and has already raised $350. The other class is selling tickets for $3.00 each and has already raised $225. Which equation can be used to find t, the number of tickets each class needs to sell so that the total amount raised is the same for both classes?

• 3t + 350 = 2.50t + 225 
• 350t + 2.50 = 225t + 3
• 2.50t + 350 = 3t +225
• Not Here

Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides. Carnival P charges an entrance fee of $10.00 and $0.45 per ticket for the rides. How many tickets must be purchased in order for the total cost at Carnival M and Carnival P to be the same?

• 25
• 10
• 50
• 75

• 2.00
• 2.25
• 2.50
• 3.25

What value of x makes this equation true?
0.6x - 5 = 0.1x + 7

• 4
• 14
• 24
• 6

Gym A charges a registration fee of $75 plus $35.75 per month for members. Gym B charges a registration fee of $164 plus $17.95 for members. After how many months would the total cost at Gym A and Gym B be the same for members?

• 10 months 
• 5 months 
• 7 months 
• The total cost will never be the same 

Identify the equation modeled above, and then find its solution. 

• -0.6
• 1.6
• 0.6
• 1

Find the value of x that would make the equation modeled above true. 

• 5.4
• 0.8
• 1.25
• 4.5

An electrician charges $45 per hour plus a fixed charge of $30. Which of these equations could be used to determine C, the cost an electrician charges for h hours worked?

• C = 30h + 45
• C = 45h + 30
• C = h(35 + 40)
• C = 35h(40)

Henry and his brother each start a savings account. Henry begins with $200 and deposits $25 each month. His brother begins with $150 and deposits $35 each month. After how many months will the two brothers have the same amount in their savings account?

• 5
• 10
• 25
• 35

John and Jane went to a bakery to get cookies for a party. Jane bought x cookies that were $3 each. John bought x cookies that were on sale for $1 plus he got a small cake for $10.00. If John and Jane both spent the same amount of money, which equation shows how many cookies, x, they purchased?

• 3x = x + 10
• x = 3x + 10
• 3x + x = 10
• 3x + x + 10 = 0