1. Adult tickets for a play cost $11 and child tickets cost $10. If there were 23 people at a performance and the theater collected $246 from ticket sales, how many children attended the play?
A) 8 children
B) 16 children
C) 7 children
D) 6 children
2. Bob invested $20,000, part at 14% and part at 13%. If the total interest at the end of the year is $2,720, how much did he invest at 14%?
A) $11,000
B) $12,000
C) $8,000
D) $13,000
3. Solve the following system of linear inequalities by graphing.
x - 2y 4
x 4
A)
B)
C)
D)
4. One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number.
A) 34
B) 17
C) 5
D) 7
5. The length of a rectangle is 8 in. more than twice its width. If the perimeter of the rectangle is 64 in., find the width of the rectangle.
A) 8 in.
B) 9 in.
C) 10 in.
D) 7 in.
6. Solve the following system of linear inequalities by graphing.
x + 2y 3
2x - 3y 6
A)
B)
C)
D)
7. Solve the following system of linear inequalities by graphing.
3x + 4y 12
x + 3y 6
x 0
y 0
A)
B)
C)
D)
8. Solve the system by graphing.
3x + y = -1
9x + 3y = -3
A)
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B) There is No Solution
C)
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D) Infinitely many solutions (dependent system)
D
9. Solve the system by graphing.
x + y = 4
-x + y = 2
A) Infinitely many solutions (dependent system)
B)
C)
D) None of the above choices
10. Solve the system by addition.
5x - 4y = -5
x - 2y = -7
A) (4, 5)
B) (3, 7)
C) (2, 8)
D) (3, 5)
11. Solve the following system of linear inequalities by graphing.
x - y 3
x + 2y 6
A)
B)
C)
D)
12. Solve the following system of linear inequalities by graphing.
3x - y < 2
x + y > 2
A)
B)
C)
D)
13. Solve the system by graphing.
3x + y = 6
3x - y = 0
A)
B)
C)
D)
14. Solve the system by graphing.
2x + y = 4
x + y = 3
A)
B)
C)
D)
15. A home-based company produces both hand-knitted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours. The labor available is limited to 40 hours per week, and the total production capacity is 5 items per week. Write a system of inequalities representing this situation, where x is the number of scarves and y is the number of sweaters. Then graph the system of inequalities.
A) 2x + 14y 40
x + y 5
x 0
y 0
B)
C)
D) None of the above Choices
16. Angus invested $18,000, part at 3% and part at 5%. If the total interest at the end of the year is $660, how much did he invest at each rate?
A) $13,500 at 3% and $4,500 at 5%
B) $12,000 at 2.5% and $6,000 at 6.9%
C) $11,000 at 4% and $7,000 at 5.5%
D) $12,000 at 3% and $6,000 at 5%
17. Solve the system by addition.
2x - 4y = 7
4x + 2y = 9
A)
B)
C)
D)
18. Solve the following system of linear inequalities by graphing.
x - 3y > 6
3x + 2y > 12
A)
B)
C)
D)
19. Sally bought three chocolate bars and a pack of gum and paid $1.75. Jake bought two chocolate bars and four packs of gum and paid $2.00. Find the cost of a chocolate bar and the cost of a pack of gum.
A) Chocolate 55¢, gum 35¢
B) Chocolate 65¢, gum 45¢
C) Chocolate 75¢, gum 15¢
D) Chocolate 50¢, gum 25¢
20. Solve the system by graphing.
x + y = 3
x + y = -1
A) No solution (inconsistent system)
B)
C) This System has many Solutions
D) None of the above Choices are correct
Attachment:- Friday Algebra Help.doc