Systems of Equations
Review 09-10
Name:
1) What is the solution of the system of linear equations below?
2x + y = 4
2x – 3y = 16
2) Graph the system of linear inequalities
y<5
2x + y < 10
y
x
3) What is the solution to the system of equations below?
y = 3x + 2
3x – y = -2
4) What is the solution to the system of equations below?
x + 5y = -3
3x – 2y = 8
5) Consider the statement. “All quadratic equations have at least one real root.” Draw a
quadratic graph that proves this false.
y
x
6) Solve the system of equations below.
x + 5y = 4
3x – 7y = -10
What is the sum of the x and y-values in the solution?
7) The width of a rectangle is 5 feet more than its length. The area of the rectangle is 36
square feet. What is the length, in feet, of this rectangle?
8) Xavier is older than Yolanda. The difference between their ages is 5 years. The sum of
their ages is 33 years. How old is Xavier, in years?
Fill your answer in the response grid.
9) Solve the following system of equations.
3x + 5y = -2
16x – 15y = -19
10) John is deciding on a cell phone plan to use. The two plans are represented by the
following equations in cost per month, C, in dollars, in terms of minutes, m.
Plan A : C(m) = .20m
Plan B: C(m) = .10m + 50
Describe Plan B in terms of cost and minutes used. Write your answer on the lines
below.
If John uses 400 minutes in a month, which plan should he choose? Explain
11) What number would you need to multiply the second equation by in the following
system to get the “y” terms to cancel by addition?
3x + 3y = 6
4x + y = 7
12) What is the “y-value” of the solution to the following system of equations?
3x – 5y = -16
2x + 5y = 31
13) Determine the solution to the system of equations below?
y = 3x
2x + 3y = 33