Systems of Equations Graphing and Substitution Practice

Solve the system:
x + 6y = 17
x - 3y = 8

• (5, 2)

• (11, 1)

• (1, 11)

• no solution

Tags

CCSS.8.EE.C.8B

Solve the systems using substitution:

y = 7x + 9

2y + 2x = -18

• (5, 0)

• (9, 18)

• (-2, -5)

• (1, 16)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system using substitution:

x = -3y - 17

2x + 3y = -7

• (1, -20)

• (3, 0)

• (-5, -2)

• (10 , -9)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations using substitution

y = -6

-3x - 6y = 24

• (6, 6)

• (6, -6)

• (4, -6)

• (-6, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which method would be best (quickest) for solving the system below:

• Substitution

• Elimination

• Graphing

• None of these

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system using elimination:

2x + 3y = -2

3x - 2y = 23

• (5, -4)

• (-4, 5)

• (-5, 4)

• infinite solutions

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

________________ is a set of two or more equations that have the same variables.

• solution of a system

• elimination method

• system of equations

• table

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Answer explanation

The lines intersect at (1,3) so that is the solution.

Tags

CCSS.8.EE.C.8B

Will the solution (-3, -7) make the following system of equations a true statement? y = 4x + 5 y = x – 4

• YES

• NO

Answer explanation

7x - y = 10

-7x + y = -14

• No Solution

• (4, 1)

• Infinitely Many Solutions

• (2, -4)

Answer explanation

7x - y = 10

-7x + y = -14

All of the like terms have opposite coefficients, so both variables will be eliminated when we add the equations together. We cannot eliminate one without the other.

We are left with:

0=-4

This is a contradiction (false), so there is NO SOLUTION.

Tags

CCSS.8.EE.C.8B