Name _____________________________________________ Pd. __________
Algebra
Chapter 5 Review
Directions: Complete each of the following. Show ALL work for full credit.
1.) Solve the system of linear equations by graphing.
a.)
3x – 2y = 10
x + 2y = 6
2.) Solve the system of linear equations by substitution.
a.)
-7x – y = 13
8x + y = -14
b.)
3.) Solve the system of linear equations by elimination.
a.) x – 2y = 14
x + 3y = 9
b.)
4x + 3y = -1
5x + 4y = 1
4.) Solve and graph each inequality on a number line.
a.)
17 < 2x + 3 or
2x + 3 < 11
b.) -1 < 3 – 2x < 9
x – 2y = 15
2x + 3y = 2
Name _____________________________________________ Pd. __________
Algebra
5.) Graph each inequality.
a.) 3x – 2y < 10
b.) 5x – 3y < -15
6.) Graph each system of inequalities.
a.)
y–x<4
-2x + y > 4
b.)
y + 3 < 2x
-2y < 6x – 10
7.) Write a system of inequalities to describe the shaded area of the graph.
8.) The Creekside Theater is putting on a play. The Hanson family bought five adult tickets and two
child tickets for $129.00. The Rivera family bought two adult tickets and six child tickets for
$107.50. Write a system of equations to represent the situation and solve to find out how much a
child ticket costs and how much an adult ticket costs.