S2 Interim Systems of Equations Review

Consider the system of equations.

6𝑥 + 2𝑦 = 4

6𝑥 + 6𝑦 = 24

What could be the first step in solving the system of equations using elimination?

• 
  Multiply the second equation by 3.

• 
  Multiply the first equation by – 1.

• Add the two equations.

• Add 4 to both sides of the first equation.

Tags

MGSE8.EE.8

Tags

MGSE8.EE.8

Nadia and Parrish’s favorite store is having a sale. Nadia decides to purchase 3 new shirts and 3 pairs of pants for $120. Parrish purchases 2 new shirts and 3 pairs of pants for $105. What was the cost of the shirt and a pair of pants?

• The shirt cost $25 and the pair of pants cost $15.

• The shirt cost $15 and the pair of pants cost $25.

• The shirt cost $20 and the pair of pants cost $20.

• The shirt cost $20 and the pair of pants cost $15.

Tags

MGSE8.EE.8

Tags

MGSE8.EE.8

. Consider the system of equations.

- x + 2y = - 6

y = 1/2x + 3

Which of the following statements about the ordered pair (10,2) is true?

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

• It is the only solution to the system of equations

• It is one of many solutions to the system

• It is not a solution to either equation

Tags

MGSE8.EE.8

Tickets to the Nicki Minaj concert cost $15 online and $25 at the door. The band sold a total of 1,000 tickets and made a total of $20,500. How many tickets were sold online?

• 20,500 tickets sold online

• 450 tickets sold online

• 1,000 tickets sold online

• 550 tickets sold online

Tags

MGSE8.EE.8

•  One Solution 

• No Solution

• Infinite Solutions

•  One Solution 

• No Solution

• Infinite Solutions

What is the solution to the system of linear equations?

Jack and Matt are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Jack sold 7 small boxes of oranges and 8 large boxes of oranges for a total of $222. Matt sold 7 small boxes of oranges and 2 large boxes of oranges for a total of $108. What is the cost each of one small box of oranges and one large box of oranges?

• small box of oranges: $10, large box of oranges: $19

• small box of oranges: $16, large box of oranges: $17

• small box of oranges: $8, large box of oranges: $20

• small box of oranges: $6, large box of oranges: $16