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Algebra 1

1.4.5 Practice

Algebra 11.4.5 Practice

1.4.5 Practice

1.4.5 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

  1. Is y = 4 3 a solution of 9 y + 2 = 6 y + 3 ?
  1. Yes
  2. No
  1. Is y = 7 5 a solution of 5 y + 3 = 10 y − 4 ?
  1. Yes
  2. No
  1. Is y = 5 3 a solution of 6 y + 10 = 12 y ?
  1. Yes
  2. No
  1. Is u = − 1 2 a solution of 8 u − 1 = 6 u ?
  1. Yes
  2. No
  1. Tickets to the museum cost $4.50 for children and $9.00 for adults. The equation 63 = 4.5 c + 9 a represents the total cost for c children’s tickets and a adult tickets. How many children’s tickets were sold if 4 adult tickets were sold?
For questions 6 and 7, use the following scenario: T-shirts are on sale for $12.50. Isla has a coupon for $10.00 off.
  1. Choose the equation that represents the total cost, c , if she buys n T-shirts.
  1. c = 12.5 ( 10 n )
  2. c = 12.5 ( n − 10 )
  3. c = 10 n − 12.5
  4. c = 12.5 n − 10
  1. How many T-shirts can she buy if she spends all of her $40?
  1. An artist is selling children's crafts. Necklaces cost $2.25 each, and bracelets cost $1.50 per each. Select three combinations of necklaces and bracelets that the artist could sell for exactly $12.00
  1. 5 necklaces and 1 bracelet
  2. 2 necklaces and 5 bracelets
  3. 3 necklaces and 3 bracelet
  4. 4 necklaces and 2 bracelets
  5. 3 necklaces and 5 bracelets
  6. 6 necklaces and no bracelets
  7. No necklaces and 8 bracelets
  1. Volunteer drivers are needed to bring 80 students to the championship baseball game. Drivers either have cars, which can seat 4 students, or vans, which can seat 6 students. The equation 4 c + 6 v = 80 describes the relationship between the number of cars, 𝑐, and number of vans, 𝑣, that can transport exactly 80 students. Select four statements that are true about the situation.
  1. If 12 cars go, then 2 vans are needed.
  2. c = 14 and v = 4 and are a pair of solutions to the equation.
  3. If 6 cars go and 11 vans go, there will be extra space.
  4. 10 cars and 8 vans isn’t enough to transport all the students.
  5. If 20 cars go, no vans are needed.
  6. 8 vans and 8 cars are numbers that meet the constraints in this situation.

Use the following scenario for questions 11 and 12:

The drama club is printing T-shirts for its members. The printing company charges a certain amount for each T-shirt plus a setup fee of $40. There are 21 students in the drama club.


  1. If there are 21 students in the club and the T-shirt order costs a total of $187, how much does each T-shirt cost?
  1. The equation 201.50 = f + 6.50 ( 21 ) represents the cost of printing the T-shirts at a second printing company. Find the solution to the equation.
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