Math 8 Systems of Equations Review

Solve by Substitution

100

Solve the system by substitution.

y = 5x + 7

y = 6x

What is (7, 42)?

200

Solve the system by substitution.

y = 7

y = 8x - 9

What is (2, 7)?

300

Solve the system by substitution.

y = -x - 6

y = 2x

What is (-2, -4)?

400

Solve the system by substitution.

y = x + 4

y = 11 + 2x

What is (-7, -3)?

500

Solve the system by substitution.

y = 6(x + 3) + 6x

y = 8x - 6

What is (-6, -54)?

Solve by Elimination

100

Solve the System by Elimination

-4x-2y=-12

4x+8y=-24

What is (6, -6)?

200

Solve the system by elimination.

2x + y =19

x - y = 11 

What is (10, -1)

300

Solve the system by elimination.

-3x + y = -5

8x + y = -16

What is (-1, -8)?

400

Solve the system by elimination.

-4x + 9y = 9

x - 3y = -6

What is (9, 5)?

500

Solve the system by elimination.

3x - 9y = -18

5x + 4y = -30

What is (-6, 0)?

Solve by Graphing

100

Solve the system by graphing. Be ready to show your graph.

y = -7/3 x + 4

y = 1/3 x - 4

What is (3, -3)?

200

Solve by graphing. Be ready to show your graph.

y = 2x - 2

y = 1/3 x + 3

What is (3, 4)?

300

Solve the system by graphing. Be ready to show your graph.

y = -x + 3

y = 5/2 x - 4

What is (2, 1)?

400

Solve the system by graphing. Be ready to show your graph.

y = -x + 2

y = -6x - 3

What is (-1, 3)?

500

Solve the system by graphing. Be ready to show your graph.

y = 4

x = 3

What is (3, 4)?

Applying Systems of Equations

100

The difference of two numbers is 3. The sum of the two numbers is 13. Find the numbers by setting up and solving a system of equations.

What is 5 and 8?

200

Westfield Middle School is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.

What is $8 for a senior citizen ticket and $14 for a child ticket?

300

All 231 students on Team Stingrays went on a field trip. Some students rode in vans which hold 7 students each and some students rode in buses which hold 25 students each. If there were 15 vehicles used altogether, they used ________ vans and ________ buses.

What is 8 vans and 7 buses?

400

Mr. Hall and Mrs. Love are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Mr. Hall sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Mrs. Love sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges.

What is $7 for a small box of oranges and $13 for a large box of oranges?

500

There are 13 animals in the barn. Some are chickens and some are pigs. There are 40 legs in all. Tell us the number of pigs and chickens in the barn.

What is 6 chickens and 7 pigs?

Miscellaneous Systems of Equations

100

A system of equations has no solution. The graph of this system of equations has two _______________ lines.

What is parallel?

200

There are _______ methods to solve a system of linear equations.  There are ______ types of solutions to a system of linear equations.

What is 3 ways to solve a system of equations? What are 3 types of solutions to a system of linear equations?

300

The slope of two equations is the same. Their y-intercepts are also the same. This system has _________________ solutions.

What is infinite solutions?

400

All the methods to solve a system of linear equations.

What are graphing, substitution and elimination?

500

Write a system of equations with no solutions. Write a system of equations with infinite solutions.

*Answers may be different for everyone. For a no solution equation, the slopes must be the same and the y-intercepts different. For an infinite solution equation, the slope AND y-intercepts must be the same.