Algebra 1 Q3 test 1 review sheet
Solve by substitution
1. y = - 2/5 x – 18
2x – 3y = 22
2. x + 5y = 2
x = -4y + 5
3. 2x + y = 4
y = 4x + 1
4. 3x + 5y = 3
x + y = -1
5. x + y = -4
2x + 2y = 6
solve by elimination
6. x + 3y = 9
x – 3y = -3
7. x + 6y = 20
x + 2y = 12
8. 12x + 7y = 68
12x + 6y = 72
9. 2x + 5y = 34
x + 2y = 14
10. 8x + 5y = 6
3x – 2y = 10
use a system to solve each problem
11.
Your teacher is giving you a 100 point test containing 40 questions.
There are some 2-point questions and some 4-point questions. How
many of each type are on the test?
12.
The math club and science club both held fundraisers. The math
club spent $135 buying six cases of juice and one case of water. The
science club spent $110 on four cases of juice and 2 cases of water.
How much does a case of juice cost? How much does a case of water
cost?
D=RT problems
13. Two cars leave the garage at 2:00 pm. One travels east at 35 mph.
The other travels west at 23 mph. At what time will they be 26.1 miles
apart?
14. Two taxis leave the airport at the same time. One travels north at
42 mph and the other travels north at 29 mph. How long will it take before
the taxis are 14.3 miles apart?
Answers:
1.
(-10, -14)
2.
(17, -3)
3.
(0.5, 3)
4.
(-4, 3)
5.
no solution
6.
(3,2)
7.
(8, 2)
8.
(8, -4)
9.
(2, 6)
10
(2, -2)
11. 30 2-point questions, 10 4 point questions
12. $20 juice,$15 water
13. 2:27 pm
14. 1 hr, 6 min