Review the following concepts if needed:
 Systems of Equations Help
 Applications of Systems of Equations Help
 Systems of Inequalities Help
 Graphical Solution to System of Equations Help
Systems of Equations and Inequalities Practice Test
Directions: In some of the following problems, you will be asked to find quantities such as x + 2 y for a system of equations. Solve the system and put the solution in the formula. For example, if the solution is x = 3 and y = 5, then x + 2 y becomes 3 + 2(5) = 13.
Practice

Find x + 2 y for the system.
(a) −2
(b) −1
(c) 1
(d) 2

Find x + 2 y for the system.
(a) 8
(b) 9
(c) 10
(d) 11

Find x + y for the system.
(a) 4
(b) 5
(c) 6
(d) 7

Find x + y for the system.
(a) 2 and 14
(b) 3 and 12
(c) 4 and 20
(d) 5 and 15

The graph in Figure 10.43 is the graph of which inequality?
Fig. 10.43
(a) y > 2 x + 2
(b) y ≥ 2 x + 2
(c) y ≤ 2 x + 2
(d) y < 2 x + 2

The graph in Figure 10.44 is the graph of which inequality?
Fig. 10.44
(a) y > x ^{2} − 2 x + 1
(b) y ≥ x ^{2} − 2 x + 1
(c) y ≤ x ^{2} − 2 x + 1
(d) y < x ^{2} − 2 x + 1

The graph in Figure 10.45 is the graph for which system?
Fig. 10.45

The graph in Figure 10.46 is the graph of which system?
Fig. 10.46
Solutions
 A
 B
 C
 C
 D
 B
 B
 D
 PreCalculus: Systems of Equations and Inequalities
 PreCalculus: The Slope and Equation of a Line
 PreCalculus: Introduction to Functions
 PreCalculus: Functions and their Graphs
 PreCalculus: Combinations of Functions and Inverse Functions
 PreCalculus: Quadratic Functions
 PreCalculus: Polynomial Functions
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