Solving Systems of Equations Study Guide

1)Choose the correct equations for the graphed lines. (Choose two)

• Line A: y = -1/2x + 8

• Line A: y = 1/2x + 8

• Line B: y = -1/2x + 16

• Line B: y = 1/2x + 16

2) What is the solution to this system of equations?

• (8, 16)

• (16, 8)

• (8, 12)

• (12, 8)

Tags

CCSS.8.EE.C.8B

3)What is the last line in the check that proves that the solution makes both equations in the system true?

• 8 = 8

• 12 = 12

• 16 = 16

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4) What is solution for this system of equations?

y = 6

y = 3x - 3

• (-3, 6)

• (-3, -6)

• (3, -6)

• (3, 6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5) What is solution for this system of equations?

y = -x +2

3x + 3y = 6

• (0, 1)

• (2, 0)

• infinitely many solutions

• no solution

Tags

CCSS.8.EE.C.8B

6) What is solution for this system of equations?

y = x - 3

y = 1.5x - 5

• (4, 1)

• (1, 4)

• (-4, 1)

• (4, -1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

7) What is solution for this system of equations?

y = 1/2x - 3

-x + 2y = -6

• (0,3)

• (0, -3)

• infinitely many solutions

• no solution

Tags

CCSS.8.EE.C.8B

8) Ralph's t-shirt company sells t-shirts for $7.50 each with a flat rate of $10 for shipping. Frank's t-shirt company sells t-shirts for $10 each with free shipping. Choose the correct equations for this system of equations. (Choose two)

• y = 10 + 7.5x

• y = 10x + 7.5

• y = 10x + 10

• y = 10x

Tags

CCSS.8.EE.C.8C

Question 8b. What is the solution of the systems of equations in question 8?

• (4, 4)

• (4, 40)

• (40, 4)

• no solution

Tags

CCSS.8.EE.C.8B

Question 8c. What does the solution for the system of equations mean in the context of the situation?

• The companies charge the same amount of $4 for 4 shirts.

• If you only want one shirt you should choose Ralph's t-shirt company.

• If you want more that 4 shirts you should choose Frank's t-shirt company.

• The companies charge the same amount of $40 for 4 shirts.

Tags

CCSS.8.EE.C.8C