Algebra 1Name ______
Review Chapter 5
Is (1, 4) a solution to each system of equations?
1)2x + 3y = 75y = 152)y = 3x + 14x = y
Solve each system by graphing. Then check your answer.
3) y = 3x – 14)y = x - 3
y = -x + 3y = -x - 1
5) y = 4
x = -2
Tell whether the system has No Solution or Infinitely Many Solutions.
6)y = 5x + 62y = 10x + 87)y = 2x + 4-4 + y = 2x
Solve each system using substitution.
8)y = 3x + 119)y = x – 5
y = -2x + 1x + 3y = 1
8) ______9) ______
Solve each system by elimination.
10)x + y = 1011)2x – 3y = 61
x – y = 22x + y = -7
10) ______11) ______
12)2x – 3y = 513) -2x + 5y = 20
x + 2y = -1 3x – 7y = -26
12) ______13) ______
Solve using a system of equations.
14) Claire bought three bars of soap and five sponges for $2.31. Steve bought five bars of soap and three sponges for $3.05. Find
the cost of each item.
soap______
sponges ______
15) A local band is planning to make a CD. It will cost $12,500 to record and produce a master copy, and an additional $2.50 to
make each sale copy. If they plan to sell the final product for $7.50, how many disks must they sell to break even?
______CD’s
16) Which point is not a solution of y < 3x - 1?
A.(2, -4) B. (5, 7) C. (0, -1)D. (-2, -9)16) ______
Graph each linear inequality.
17)y < 18)y -x - 2
19) Write the linear inequality shown in the graph.
m = ______
b = ______
shade ______
dash or solid
19) ______
Solve each system by graphing.
20) 21)
22)23)
24) Graph.
y = 2x – 5
y = -2x + 3
solution ______