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Algebra 1

1.4.5 Practice

Algebra 11.4.5 Practice
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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. No
  2. Yes
  1. Is y = 7 5 a solution of 5 y + 3 = 10 y − 4 ?
  1. No
  2. Yes
  1. Is y = 5 3 a solution of 6 y + 10 = 12 y ?
  1. No
  2. Yes
  1. Is u = − 1 2 a solution of 8 u − 1 = 6 u ?
  1. No
  2. Yes
  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
  • 5 necklaces and 1 bracelet
  • 2 necklaces and 5 bracelets
  • 3 necklaces and 3 bracelet
  • 4 necklaces and 2 bracelets
  • 3 necklaces and 5 bracelets
  • 6 necklaces and no bracelets
  • 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.
  • If 12 cars go, then 2 vans are needed.
  • c=14 and v=4 and are a pair of solutions to the equation.
  • If 6 cars go and 11 vans go, there will be extra space.
  • 10 cars and 8 vans isn’t enough to transport all the students.
  • If 20 cars go, no vans are needed.
  • 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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