Graphing
Substitution
Elimination
Word Problems
How many solutions?
100

What is the solution to the system of equations?

x=-2 and y=1

100

In the following system of equations:

y = 3

x+y=70

What goes in the (  ) below?

x+(_)=70


3

100

In the following system of equations:

x + y = 4

x - y = 6

What variable will be eliminated if the equations are added together?

y will be eliminated

100

The sum of two numbers is 67. The difference of those numbers is 7. What are these two numbers' value?

37 and 30

100

If two lines are perpendicular how many solutions will there be?

One solution

200

What is the solution to the following system of equations?

x=2 and y=-4

200

In the following system of equations:

y = 3

x+y=70

What does x equal using substitution?

x=67

200

In the following system of equations:

x + y = 4

x - y = 6

What variable will be eliminated if the second equation is subtracted from the first equation?

x will be eliminated

200

The sum of two numbers is 100. The difference of two numbers is 34. What is the value of those two numbers?

67 and 33

200

If two lines are parallel how many solutions will there be?

No solutions

300

What is the solution to the following system of equations?

No Solution

300

In the following system of equations:

y = 3x+2

2x+3y=6

What goes in the (  ) below?

2x+3(_)=6

3x+2

300

In the following system of equations:

x + y = 4

x - y = 6

If the two equations are added together, what would you be left with?

2x = 10

300

Three chairs and a table costs $200. One table and two chairs costs $150. How much does a chair cost? How much does a table cost?

Chairs cost $50 and the table costs $50

300

If two lines have equivalent equations, how many solutions will the system of equations have?

Infinite solutions

400

Using graphing techniques (Desmos) what is the solution to this system of equations:

y=x

y=-2x+3

x=1 and y = 1

400

In the following system of equations:

2x + 3y = 8

x=4y-1

What goes in the (  ) below?

2(_) + 3y = 8

4y - 1

400

In the following system of equations:

x + y = 4

x - y = 6

What would you be left with if you subtracted the second equation from the first equation?

2y = -2

400

Eric, Jai'deyn, and their friends spent $105 at the movie theater. They bought tickets and popcorn. They bought 2 more popcorns than tickets. The tickets were $10 each and the popcorn was $15 each. How many tickets and popcorn did they buy?

They bought 3 tickets and 5 popcorns

400

How many solutions does the following system of equations have?

y=67x+1

y=67x-2


No Solutions

500

Using graphing techniques (Desmos) what is the solution to this system of equations:


-4x+3y=-3


x=6 and y =7

500

In the following system of equations:

y = 2x - 1

3x + 2y = 12

Show all steps to solve for x after substituting for y

x = 2

500

What is a matrix?

Teacher discretion

500

A farmhouse shelters 12 animals. Some are dogs and some are kangaroos. Altogether, there are 40 legs. How many of each animal are there?

8 dogs and 4 kangaroos

500

How many solutions does the following system of equations have?

y=6/7 x -7

6x-7y=49

Infinite solutions

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