# Chapter 7 Review What are three methods of solving systems of

```Chapter 7 Review
1.) What are three methods of solving systems of linear equations?
a. _____________
b. _____________
c. _____________
2.) Name the instructors that spoke about the methods from lessons 1, 2, and 3.
a. _____________
b. _____________
c. _____________
Lesson 1
3.) A solution to a system of linear equations is an ___________________ that makes every
equation in that system true.
4.) What is the solution of the point of intersection for the first example? ( _____ , _____ )
Lesson 2
5.) What are the 4 steps to solving by substitution?
a. ___________________________________________________________________
b. ___________________________________________________________________
c. ___________________________________________________________________
d. ___________________________________________________________________
6.) The instructor solved for (X) in the example which was equal to (-3). They then plugged (X)
back into which equation to solve for (Y)? Y=___________
Lesson 3
7.) Use the example and show me how to find the solution by elimination.
3x + y = 12
2x – y = 3.
8.) What was the solution for the second example?
( _____ , _____ )
Lesson 5
9.) What was the equation you had to graph in the example? ______________________
10.) What was the test point for the example? (_____ , _____ )
Lesson 6
11.) A solution set is the region of ______________________________.
12.) What are the linear inequalities that are graphed in the writing a system of linear inequalities
video?
a. ________________________
b. ________________________
Practice
Solve by graphing
1. y = 3x - 1
y = -2x + 4
2. y = x - 1
y = -x + 7
3. y = 4x + 7
y = -3x
Solve by Substitution
1. y = x
y = -x + 2
2. y = x + 4
3. y = 3x - 10
y = 3x
y= 2x – 5
Solve by Elimination
1. x + 2y = -7
3x - 2y = -3
2. 3x + y = 20
3. 5x + 7y = 77
x + y = 12
5x + 3y = 53
```