-
Algebra 1 Chapter 5 Review Name____________________
2. Marcos had 15 coins in nickels and quarters. He had 3 more
quarters than nickels. He wrote a system of equations to
represent this situation, letting x represent the number of
nickels and y represent the number of quarters. Then he
solved the system by graphing. How many of each coin did Marcos
have?
3. A test has twenty questions worth 100 points. The test
consists of True/False questions worth 3 points each
and multiple choice questions worth 11 points each. How many
multiple choice questions are on the test?
6. Margie is responsible for buying a week's supply of food and
medication for the dogs and cats at a local
shelter. The food and medication for each dog costs twice as
much as those supplies for a cat. She needs to
feed 164 cats and 24 dogs. Her budget is $4240. How much can
Margie spend on each dog for food and
medication?
9. The equations 5x + 2y = 48 and 3x + 2y = 32 represent the
money collected from school concert tickets sales
during two class periods. If x represents the cost for each
adult ticket and y represents the cost for each
student ticket, what is the cost for each adult ticket?
-
12. Dennis mowed his next door neighbor’s lawn for a handful of
dimes and nickels, 80 coins in all. Upon
completing the job he counted out the coins and it came to
$6.60. How many of each coin did he earn?
-
Write a system of linear inequalities represented by the
graph.
21. 17. 22.
Solve the equation by graphing. Check your solutions.
23. 2 3x x 24. 2 1 5 5x x 25. Left intentionally blank
-
Graph the system of linear inequalities.
26. 3 4
13
2
y x
y x
27. 3 2 2
2 2
x y
x y
Compare the slopes and y-intercepts of the graphs of the
equations in the linear system to determine whether the
system has one solution, no solution, or infinitely many
solutions. Explain.
28. 3 3 4
3
x y
x y
29. 2 3 6
4 6 12
x y
x y
30. 7
2 3 21
x y
x y
31. Maricella has a bag containing 35 nickels and quarters. The
total value of these coins is $2.35. How many quarters does
Maricella have?
-
Alg Ch 5 Review Answers
1. (– 4, 2) 2. 6 nickels, 9 quarters 3. 5 multiple choice, 15
T/F 4. ( –1, 1)
5. (1, – 4) 6. {164𝑐 + 24𝑑 = 4240
𝑑 = 2𝑐, $20 for cats, $40 for dogs 7. (–5, –30)
8. (21, –35) 9. Adult tickets cost $8.
10. Yes, you can either multiply by 2 or divide by 2 to
simplify. Explain why you chose the method you did.
11. {2𝑦 + 6 = 4𝑥−3 = 𝑦 − 2𝑥
12. 52 dimes and 28 nickels
13. 2𝑥 + 𝑏 ≤ 16; sample answer: 2 lbs of apples & 12 lbs of
bananas; 4 lbs of apples & 3 lbs of bananas
14. 15. 𝑦 ≤ 4𝑥 − 5 16.
17. 18. 19. 2
20.{13𝑥 + 3𝑦 ≥ 310
𝑦 ≥ 17𝑥 ≥ 9
; No, the boosters will not meet their goal if they sell 14
jackets and 35 caps.
21. {𝑦 > −1𝑥 ≤ 3
22. {𝑦 ≥
2
3𝑥 + 3
𝑦 > −4
3𝑥 − 3
23. 𝑥 = 1 24. 𝑥 = −2 25. 𝑥 = 1 or 2
26. 27.
28. No solution 29. Infinitely many solutions 30. One solution
31. 3 quarters
