Unit 3 Lesson 27 Review Systems of Equations

A line is graphed on the coordinate plane above.

Line y = −x + 2 will be graphed on the same coordinate plane to create a system of equations. What is the solution to that system of equations?

• (-2,4)

• (0,-4)

• (2,-4)

• (4,-2)

Tags

CCSS.8.EE.C.8B

At a local basketball game, all tickets are the same price and all souvenirs are the same price. Mr. Smith bought 2 tickets to this basketball game and 1 souvenir for a total of $17.25. Ms. Lockhart bought 5 tickets to the same game and 2 souvenirs for a total of $42.00. How much was a ticket to this game?

• $2.25

• $7.50

• $8.50

• $9.75

Tags

CCSS.8.EE.C.8C

Line n is shown on the grid above.

Line q will be graphed on the same grid. The only solution to the system of linear equations formed by lines n and q occurs when x= 1.5 and y = 0. Which equation could represent line q?

• $y=\frac{3}{2}x$

• $y=\frac{4}{3}x-2$

• $y=-\frac{5}{2}x+1$

• $y=-\frac{2}{3}x+\frac{3}{2}$

Tags

CCSS.8.EE.C.8B

Mr. Thomsen is buying two types of gift cards to give as prizes to employees at a company meeting. He will buy restaurant gift cards that each cost $50. He will also buy movie theater gift cards that each cost $20. He has $450 to buy a total of 15 gift cards. How many of each type of gift card can Mr. Thomsen buy?

• He can buy 5 restaurant gift cards and 10 movie theater gift cards.

• He can buy 8 restaurant gift cards and 7 movie theater gift cards.

• He can buy 10 restaurant gift cards and 5 movie theater gift cards.

• He can buy 12 restaurant gift cards and 3 movie theater gift cards.

Solve the system of equations below.

2x + 4y = 10

2x + 4y = −10

• x = 3, y = 1

• x = 6, y = −4

• No solution

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

Two lines are graphed on the same coordinate plane. The lines only intersect at the point (3, 6). Which of these systems of linear equations could represent the two lines?

Select ALL that apply.

• 
• 
• 
• 
• 

Answer explanation

This may have more than one correct answer.

Tags

CCSS.8.EE.C.8B

What is the solution to the system of equations above?

• x = 2, y = −2

• x = 6, y = −5

• x = 4, y = 4

• x = −2, y = 1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

A customer is comparing two different text message plans at Cellular Bargains. He wants to find out which plan allows the most text messages for the same cost. The Pay Per Text Plan charges $10 per month and $0.10 for each text message. The Frequent Text Plan is odeled by the graph shown above.How many text messages would result in the same cost per month for the two plans?

• 200 text messages

• 100 text messages

• 2,000 text messages

• 30 text messages

Tags

CCSS.8.EE.C.8C

Which statement explains why the point (−2, 2) is the solution to the system of linear equations shown above?

• It lies on the graph of only one of the equations.

• It lies in the second quadrant of the coordinate plane.

• It is the only point that satisfies both equations simultaneously.

• It is one of many points that satisfies both equations simultaneously.

Tags

CCSS.8.EE.C.8B

A system of equations is shown below.

5x + 3y = −6

2x + y = −4

Which statement about the ordered pair (−6, 8) is true?

• It is the only solution to the system.

• It is not a solution to either equation.

• It is one of many solutions to the system.

• It is a solution to the first but not the second equation.