Systems of Equations Review

Vocabulary

100

The solution to a system of equations is the point where the two lines _______________. 

meet/intersect

200

How is the  solution of a system of equations written?

(x.y)

300

What does the y-intercept represent in a linear equation? 

The place where the line will intersect with the y-axis

400

In an equation that is in slope-intercept form 

(y=mx + b), where is the slope? 

Slope is the number in front of x (coefficient of x) 

500

Why do we have to substitute or eliminate one variable when solving a system of equations? 

Only one variable can be solved at a time. 

Solve by Graphing

100

Where would I graph the FIRST point for the equation below? 

y= 4x + 7

(0,7)

200

After graph my first point for the equation below (at 0,4) what point should be graphed next?

y= 2x + 4

(1,6)

300

Graph the following equations to find the solution:

y= -x -1

y= x + 2

(-1, 1)

400

Graph the two equations to find the solution:

y = x + 6

y= 3x - 2

(2,4)

500

Solve the following system of equations by graphing:

y= x + 1

y= -x + 5

(2,3)

Solve by Substitution

100

Set up (you do not have to solve) the following system by substituting one expression for a variable:

y= -4x + 6

y= x-3

x - 3 = -4x + 6

200

Set up (but do not solve) the following system using substitution:

y = 2x -3

x= 4

y= 2 (4) - 3

300

Solve the following system using substitution:

y = -8x + 14

y= -5x + 11

(1, 6)

400

Solve the following system of equations using substitution:

y = x -9

y= 4x - 24

(5, -4)

500

Double POINTS (1,000):

Solve the following system using substitution:

x= 4

y = -2x -3

(4, -11)

Solve by Elimination

100

Solve for y using the elimination method:

 5x + 3y = 7

-5x + 2y = 8

y= 3

200

Solve for x using the elimination method:

2x - 7y = 14

6x + 7y = 2

x=2

300

Solve using the elimination method:

2x -   4y = -18

2x + 7y = 4

(-5,2)

400

Solve the system of equations using the elimination method:

2x - 3y = 4

4x - 3y = -8

(-6, -4)

500

Solve the following system using the elimination method:

x + 2y = 7

4x + 4y = 4

(-5,6)

Movie/TV Trivia

100

What is the name of the wizard school Harry Potter attends?

Hogwarts

200

1. In the movie Frozen, what is the name of Elsa’s sister?
   
   

Answer: Anna

300

1. In The Incredibles, what superpower does Violet have?
   
   

Answer: Invisibility

400

In Stranger Things, what is Eleven’s birth name? 

A: Jane Ives

500

Who is the controversial artist playing at the Super Bowl this year?

Bad Bunny