Download Practice Test—Chapter 7

Practice Test—Chapter 7
Algebra
Name _____________________
Tell whether the ordered pair is a solution of the linear system.
1. (2, 5)
2x + y = 9
x – y = -3
2. (4, 1)
x + 2y = 6
2x – 3y = -2
Fill in the blanks.
3. When using graphing to solve a system of equations, the solution is the point where the 2
lines ________________
4. A system of equations can have _______ solution, ________ solution or
__________________ solutions.
Use the graph of the equations to determine the solution for the system of equations.
Write no solution or infinitely many solutions when appropriate.
5.
y = -2x + 2
y = 5x + 9
Solution _________________
7.
y = 3x + 2
2y = 6x + 4
Solution _________________
6.
y = -4x – 1
y = -4x + 2
Solution _________________
8. 2y = 3x – 16
y = -5x + 18
Solution _________________
1
Solve by graphing. Write no solution or infinitely many solutions when appropriate.
9. y = x – 5
y = -2x + 1
Solution ____________________
10. y = 2x – 4
y = 2x + 1
Solution ____________________
11. 2x + 3y = 6
x–y=3
Solution ____________________
2
Solve the linear system using substitution or elimination Write no solution or infinitely
many solutions when appropriate.
12. x + y = 4
x–y=6
13. 4x + 3y = -5
x=y–3
14. y = -2x – 10
6x + 3y = 8
15.
16. x – 2y = 4
3x + 4y = 2
17. 4x + 3y = 15
2x – 5y = 1
6x – 2y = 18
4x + 2y = 2
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Fill in the blanks.
18. If 2 lines have the same slope, but different y-intercepts, the system of equations will
have ___________________ solution(s).
19. If 2 lines have different slopes, the system of equations will have _________________
solution(s)
20. If 2 lines have the same slope and the same y-intercept, the system of equations will
have
______________________ solution(s).
WITHOUT SOLVING or GRAPHING, tell whether the linear system has one solution,
no solution, or infinitely many solutions.
21. y = 2x + 6
y = 2x – 3
22. y = 3x + 2
y = -x + 2
23. 6x + 2y = 4
-3y = 9x – 6
___________________
_____________________
___________________
Write a system of linear equations for each problem and then solve. Write your
answer in a complete sentence
24. A movie theater charges $3 for children and $5 for adults. If they sold 124 tickets and
made $436, how many tickets of each type did they sell?
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Write a system of linear equations for each problem and then solve. Write your
answer in a complete sentence
25. One family buys 6 hot dogs and 3 drinks at a game and pays $15. Another family buys 4
hot dogs and 4 drinks and pays $14. How much does it cost for a hot dog and how much
does it cost for a drink?
26. The sum of two numbers is 46. The difference of two numbers is 20. Find the two
numbers.
27. The following are two different video rental plans. Write an equation that shows the
Price(P) per month for each option.
Plan Option Monthly Cost Cost per movie
A
$20
$3
B
$5
$4
Plan A Equation:
___________________________________
Plan B Equation:
____________________________________
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Multiple choice.
__________28.
Which of the following is a solution of the system of linear inequality?
A. (2,3)
B. (-2, 1)
C. (3, -1)
D. (-3, 4)
Solve the following systems of inequalities.
29. y > x – 4
y < -2x + 3
30. y > 3x – 2
x > -4
31.
32.
y>1
x < -2
2x + y < -4
-3x + 3y > 6
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