Module 7 System of Equations Review

Look at the system of equations. What is the y-coordinate of the solution to the system of equations?

• 10

• -5

• -4

• 15

Look at the system of equations. What is the solution point to the system?

• (4, 2)

• (2, 3)

• (3, 2)

• (2, 4)

Use the graph to find the solution to the system of equations. Which of the following represents the solution to the system of equations?

• (-3, 0)

• (1, -2)

• (-1, -2)

• (-1, 2)

A student is asked to solve the system below by elimination. Which of the following steps would be the best way to begin?

• Multiply Equation 1 by 2 and multiply Equation 2 by 3.

• Multiply Equation 2 by 2.

• Multiply Equation 1 by 2.

• Multiply Equation 2 by 2 and multiply Equation 1 by -2.

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

• 4y = 3x + 64

  8y = x + 68

• 4y = 3x + 64

  8y = x + 60

• 3x + 4y = 64

  x + 8y = 68

• 3x + 4y = 64

  x + 8y = 60

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $68 for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

• 4y = 3x + 64

  8y = x + 68

• 4y = 3x + 64

  8y = x + 60

• 3x + 4y = 64

  x + 8y = 68

• 3x + 4y = 64

  x + 8y = 60

• (7, 2)

• (2, 7)

• (12, 7)

• (7, 12)

A local deli charges a fee for delivery.  On Monday, they delivered two dozen bagels to an office at a total of $8.  On Tuesday, three dozen bagels were delivered at a total of $11. 

Which system of equations could be used to find the cost of a dozen bagels, b, if the delivery fee is f ?

Solve the system.

5x - 3y = -36

2x + 3y = 15

• (-3, 7)

• (-3, -5)

• (7, -3)

• (-3, 0)

Marvin buys 2 Big Gulps and 3 bags of chips for $6.75. Ethan buys 1 Big Gulp and 4 bags of chips for $6.50.

2x + 3y = 6.75

x + 4y = 6.50

How much do both of them pay for each Big Gulp?

• $1.50

• $1.25

• $0.75

• $2.00