Equations and Inequalities Test Algebra

Jared bought 3 hamburgers, 2 hot dogs, and 2 sodas for $11.50. Santiago bought 1 hamburger, 3 hot dogs, and 3 sodas for $10.25. Erick bought 2 hambergers, 1 hot dog, and 3 sodas for $9.25. What is the price of one hamburger, x, one hot dog, y, and one soda, z ?

• (1.25, 1.50, 2)

• (1.50, 2, 1.25)

• (2, 1.50, 1.75)

• (2, 1.50, 1.25)

Ashley has at most 45 coins, all of which are either nickels or dimes. The value of the coins is worth a minimum of $3.40. Which system of equations can be used to find how many of each coin Ashley has?

Emily has at most 32 coins, all of which are quarters or dimes. The total value of the coins is worth a minimum of $6.20. Which system of equations can be used to find how many of each coin Emily has?

You can work at most 20 hours next week. You need to earn at least $92 to cover your weekly expenses. Your dog-walking job pays $7.50 per hour and your job as a car wash attendant pays $6 per hour. Which system of inequalities shows the various number of hours you can work at each job?

You need at least 3 pounds of fruit to make muffins. Blueberries cost $4 per pound, strawberries cost $3 per pound, and you can spend at most $21 on fruit. Which system of inequalities shows the various number of pounds of fruit you can buy?

You need to earn at least $120 per week working as both a manager at a grocery store and teaching music lessons. You earn $10 per hour at the store and $15 per hour teaching music. You are required to work at the grocery store at least 8 hours a week, but do not want to work more than 20 hours total. Which system of inequalities shows the various numbers of hours you can work at each job?

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Tags

CCSS.HSA.REI.D.12

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the following system
x + 9y = 8
-6x - 9y = -3

• (1,-1)

• (1,1)

• (-1,1)

• (-1,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6