Questions:
1. Solve the system by addition or substitution.
-9x - 3y = 22
y = -3x - 6
2. A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of labor to produce, and the wreaths take 2 hours. The labor available is limited to 80 hours per week, and the total production capacity is 60 items per week. Write a system of inequalities representing this situation, where x is the number of bouquets and y is the number of wreaths.
3. Solve the system by substitution.
4x - 4y = -16
y = 5x - 8
4. The length of a rectangle is 8 in. more than twice its width. If the perimeter of the rectangle is 34 in., find the width of the rectangle.
A) 2 in.
B) 3 in.
C) 4 in.
D) 5 in.
5. Solve the system by addition.
5x - 3y = 13
4x - 3y = 11
6. Solve the following system of linear inequalities by graphing.
x + 2y ≤ 3
2x - 3y≤ 6
7. 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) 5
B) 7
C) 17
D) 34
8. Solve the system by graphing. You do not need to include the graph in your answer, rather, you can state your answer in words.
x + y = 3
x + y = -1
9. Adult tickets for a play cost $9 and child tickets cost $3. If there were 24 people at a performance and the theater collected $186 from ticket sales, how many children attended the play?
A) 4 children
B) 5 children
C) 6 children
D) 19 children
10. Solve the following system of linear inequalities by graphing.
x - 2y ≥ 4
x ≤ 4
