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ALGEBRA 1
CHAPTER 7 REVIEW
Solve the linear system by graphing. Write the solution as an ordered pair.
1.
x + y = –4
2.
y = –x + 1
4.
–4x + 4y = 20
1
y=- x+2
2
x + y = –2
3.
–2x + y = –8
5.
6x + 3y = 18
4x – 8y = –8
2x + 2y = 4
y = –x + 2
6.
2x – 4y = 4
x + 2 = 2y
Solve each system of equation using any method. Check your answers.
7.
x = 2y – 5
2x – y = 11
8.
y = 2x + 6
y=x+3
9.
4x – 3y = 39
7y = 4x – 79
10.
x + y = –3
5x + 7y = –9
11.
10x + 5y = –15
y = –2x – 3
12.
3x – 4y = –16
x – 4y = –40
13.
3y – 3x = 12
y=x–4
14.
8x – 3y = 61
2x – 5y = –23
15. During the summer, you want to earn $150 per week. You earn $10 per hour working for a farmer and
you earn $5 per hour babysitting for your neighbor. You can work 25 hours per week. Let x represent the
hours worked for the farmer and let y represent the hours worked babysitting.
a. Write an equation showing your earnings per week (both jobs combined).
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b. Write an equation showing your total hours worked at both jobs.
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c. Solve the system of equations by graphing to find how many hours you will need to work for a
farmer and babysitting.
The solution is ______________ and this means
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16. Your teacher is giving a test worth a total of 200 points. There are a total of 30 questions on the test.
There is a combination of 5-point and 10-point questions.
a. Write a system of equations for this situation. Let x represent the number of 5-point questions
and let y represent the number of 10-point questions.
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b. How many 5-point and 10-point questions are there on the test? Solve algebraically. Show all
work.
17. A music store is selling CD’s for $11.50 and $7.50. You buy 12 CD’s and spend a total of $106.
a. Write a system of equations for this situation. Let x represent the number of $11.50 CD’s you
purchased and let y represent the number of $7.50 CD’s you purchased.
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b. How many of each type of CD did you purchase? Solve algebraically. Show all work.
18. Which ordered pair is the solution of the system of linear equations?
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a. (3, 4)
b.
c. (5, 4)
d. (4, 5)
19. Which ordered pair is a solution of the linear system x + 2y = –8 and –4x + y = 5 ?
a. (2, –3)
b. (–2, –3)
c. (–3, –2)
d. (–1, 0)