Systems of Equations and Inequalities Review

Karen and Holly took their families out to the movie theater. Karen bought three boxes of candy and two small bags of popcorn and paid $18.35. Holly bought four boxes of candy and three small bags of popcorn and paid $26.05. Find the cost for a box of candy.

• $4.75

• $2.95

• $3.00

• $5.00

What point is a solution to the system of linear inequalities?

• (5,-4)

• (5,0)

• (5,7)

• (0,1)

What point is NOT a solution to the system of inequalities:

• (0,0)

• (2,2)

• (0,6)

• (3, -3)

Suppose you can spend no more than 15 hours per week at our two jobs. Mowing lawns pays $3 an hour and babysitting pays $5 an hour. You need to earn at least $60 a week. Write a system of inequalities to fit the situation:

Select all orders pairs that satisfy the system of inequalities

• (4, 1)

• (2, 0)

• (2, -2)

• (3, -4)

What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution 

• (6, -2)

Solve using the substitution method.

y = -7x +19
3x + 2y = 16

The answer should be written as an ordered pair.

What could be the first step in solving this system using ELIMINATION?

• Add the two equations.

• Add 4 to both side sof the equations.

• Multiply the second equation by -1.

• Multiply the second equation by 2.

Solve the system by elminiation:

4x + 8y = 20

-4x + 2y = -30