Course III CBA 2 Review

You are planning a skating party at a rink that charges a basic fee of $5.00 and $6.50 per person for catered parties. You do not want to spend more than $71.00. Write an inequality to find to find the number of friends you can invite.

• 6.5x + 6 < 71

• 6.5x + 6 > 71

• 6.5x + 6 ≤ 71

• 6.5x + 6 ≥ 71

Tags

CCSS.7.EE.B.4B

Solve -1 + 8a = 10 - 3a.

• 1

• 7

• 13

• 3

Solve. x =

• -15

• 15

• 16

• -16

Solve 7.93 - 15.20w = 0.66w

w =

(Round to the nearest hundredth, if necessary)

• W = 0.5

• W = - 0.5

• W = - 1.83

• W = 2

Tags

CCSS.HSA-REI.B.4B

Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase of $1,500 per year. Write an equation that can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria.

• 45000+2500x = 54000+1500x

• 45000-2500x = 54000 - 1500x

• 45000+1500x = 54000+2500x

• 54000+2500x = 45000+1500x

A video store charges a monthly membership fee of $7.50, but the charge to rent each movie is only $1.00 per movie. Another store has no membership fee, but it costs $2.50 to rent each movie. How many movies need to be rented each month for the total fees to be the same from either company?

• 5 movies

• 2 movies

• 1 movies

• 0.5 movies

A college basketball team offers season passes for $85, but you pay $4.45 for a program at each game. Non-season-pass holders pay $9.45 for admission to each game, but the game program is free. For what number of games is the cost of these plans the same?

• 15 games

• 11 games

• 13 games

• 17 games

Write an equation that represents the model, then solve.

• 5x - 4x = 2x - 8 , x = 4

• -5x - 4 = -2x -8, x = -2

• -5x + 4 = -2x - 8, x = 4

• 5x + 4 = 2x + 8, x = 1.5

The model represents an equation. What value of x makes the equation true?

• x = 4/9

• x = -9/4

• x = 9/4

• x = -4/9

Tags

CCSS.7.EE.B.4A

Which situation is best represented by the equation 2 + 1.5x = 2x?

• Billy's movie club charges a membership fee of $2 plus $1.50 per rental, while Suzie's movie club has no membership fee but charges $2 per rental. Billy and Suzie find that they each rented the same number of movies last month and paid the same total amount. Find x, the number of movies each person rented.

• Betty and Wilma both sell cookies to earn money for a trip. Betty charges $2 per cookie and Wilma charges $1.50 per cookie. If Betty has $1.50 left from her allowance, how many cookies, x, must they each sell before they have the same amount of money?

• Charli and Gabe both travel the same distance to school. After school, Charli catches a bus to her grandma's house which is 1.5 miles from the school. After a short visit, Charli walks at a rate of 2 miles per hour to her house. Gabe walks directly to his home from the school at a rate of 2 miles per hour. If Charli and Gabe walk for the same amount of time, x, how many miles does each person walk from school?

• Jimmy and Jack stop at separate street vendors on their way to work one day. The stand where Jimmy stops sells a refillable soda for $2 and pretzels for $2 each. Jack stops at a vendor that sells pretzels for $1.50 each. Jimmy purchases the same number of pretzels as Jack and also spends the same amount of money. Find x, the number of pretzels they each purchase.

Tags

CCSS.8.EE.C.7B