Unit 7 - Systems of Equations - Review

At a Arnall Middle School football game Hailey buys 6 hotdogs and 4 soft drinks for $13.00. Charlotte buys 3 hotdogs and 4 soft drinks for $8.50. What is the price of a soft drink?

• $0.75

• $1.00

• $1.25

• $1.50

Solve the system of equations.

• (0,9)

• (9,0)

• (0,-9)

• (-13.5,9)

What is the solution to system of linear equations graphed here?

• (4,1)

• (1,4)

• (4,-1)

• (-4,-1)

For party decorations, Kyleigh buys 6 party hats and 20 balloons for $11.90. After she starts decorating, Kyleigh determined she needed more party decorations. Kyleigh buys 2 more party hats and 15 more balloons for $6.05. How much did each balloon cost?

• $1.15

• $1.58

• $0.22

• $0.25

What is the solution to the system of equations?

• (3,4)

• (0,4)

• (4,3)

• (4,0)

Find the solution to the system of equations graphed here.

• (-4,4)

• (-4,-4)

• (4,4)

• (4,-4)

Brook wants to mix m&m's and pretzels together to make a snack for her math class. M&M's cost $2.50 per pound and pretzels cost $1.25 per pound. Brook is willing to spend $36.00 and wants to make 15 pounds of snack mix. Which system of equations could Brook use to figure out how many pounds of m&m's (m) and pretzels (p) she should buy?

• m + p = 15
  2.50m + 1.25p = 36.00

• m + p = 36.00
  2.50m + 1.25p = 15

• m + p = 15
  1.25m + 2.50p = 36.00

• 15(m + p) = 36.00
  3.75(m + p) = 15

Not including tax, 18 pieces of clothing cost $288. Pants cost $17.00 and shirts cost $12.50. No other types of clothing were purchased. Which system of equations could be used to solve for the number of pants (p) and the number of shirts (s) bought?

• p + s = 288

  17p + 12.5s = 18

• p + s = 18

  12.5p + 17s = 288

• p + s = 18

  17p + 12.5s = 288

• ps=18

  29.5ps=288

Shakira is making flower arrangements with dahlias (d) and tulips (t). The cost of each dahlia is $0.75 and the cost of each tulip is $0.50. The arrangement has a total of 24 flowers and the flower cost was $30.00. Which system of equations matches the situation?

• d + t = 24

  .75d + .5t = 30

• d + t = 30

  .75d + .5t = 24

• d + t = 24

  .5d + .75t = 30

• d + t = 24

  5d + 75t = 30

Slade is making 50 gallons of punch for a party. The punch contains lemonade (l) and tea (t). The cost of the lemonade is $1.60 per gallon and the tea is $1.00 per gallon. If Slade spent a total of $60.00, how many gallons of each did he put into the punch? Which system of equations matches the situation?

• l + t = 60

  1.6l + 1t = 50

• l + t = 50

  1l + 1.6t = 60

• l + t = 50

  1.6l + 1t = 60

• l + t = 110

  1.6l + t = 60