Algebra I
Solve Systems Review
SOLVE BY GRAPHING.
1. -3y = 2x – 6
x + 4y = 8
SOLVE BY SUBSTITUTION.
2. y + 3x = 1
2y + 5x = 5
SOLVE BY ELIMINATION.
3. 2x + 3y = -6
-5x – 9y = 14
SOLVE BY ANY METHOD.
4. 0.7m + 3n = 2.5
0.7m + 2n = 3
5. y = 3x + 7
-2x + y = -6
7. 2x = -y + 1
8. y =
x+y=2
1
x2
2
3x + y = 7
6. y = -3x + 1
0 = -2x - y
9. 5x + 7y = 4
10x – 2y = -2
10. Evaluate f(x) = -2x2 + 5x – 3 when f(-3).
11. If g(3) = 5 and g(-1) = 7, write an equation for g(x).
12. In a target shooting contest, contestants receive 5 points for hitting a red target and 10 points
for hitting a blue target. If Tom scores a total of 135 points with 20 shots, how many red targets
did he hit?
13. A car lot is selling this year’s model sports utility vehicle (SUV) for $24, 500 and last year’s
model for $21, 995. On a busy Saturday, the dealership sold 11 SUVs for a total of $259, 480.
How many of each year’s model SUVs were sold?
14. At a local baseball game, tickets cost $4 for adults and $2 for students. If there were a total
of 94 people at the game and the ticket revenues were $294, how many students and how many
adults attended?
15. Mary works at a factory assembling auto parts. She earns a fixed salary for the first 40 hours
and then additional pay for any time over 40 hours. During one week, she works 47 hours and
earns $613.75. Another week she works 51 hours and earns $678.75. What is Mary’s weekly
salary and overtime pay per hour?
16. You and your friend go to a Mexican restaurant. You order 2 tacos and 3 enchiladas, and
your friend orders 3 tacos and 5 enchiladas. Your bill was $7.80 plus tax, and your friend’s bill
was $12.70 plus tax. How much was each taco and each enchilada?
17. Your teacher is giving a test worth 150 points. There are 46 three-point and 5-point
questions. How many of each are on the test?
18. Five hundred gallons of 82-octane gasoline is obtained by mixing 80-octane gasoline with
86-octane gasoline. How much of each must be used?
19. You are making an acid solution in science class. Five liters of the 40% solution are
obtained by mixing a 20% solution with 60% solution. How much of each must you use?
20. Tina’s parking garage charges a flat rate for the first hour, and then a per-minute-rate past 1
hour. Eric parks for 2 hours and 17 minutes and pays $12.66. Julie parks for 1 hour and 33
minutes and pays $9.14. How much is the flat rate for the first hour? How much per minute after
the first hour?
21. The perimeter of Mrs. Duncan’s rectangular garden is 100 feet. If the length is 1.5 times
longer than the width, what are the dimensions of the garden?
22. Solve the following system.
2x – 3y  12
x + 5y  20
x >0