Solving Systems of Equations and Inequalities Review

Solve the system of equations by elimination.

2x + 2y = 28

8x - 2y = 22

• (5,9)

• (9,5)

• (1,13)

• (13,1)

Solve the system of equations by elimination.

x - y = -10

x - 6y = -25

• (3,-7)

• (-7,3)

• (-5,5)

• (5,-5)

The sum of two numbers is 30 and their difference is 12. Write the system of equations.

• x + y = 30

  x - y = 12

• x + y = 12

  x - y = 30

Solve the system of equations by substitution.

y = 7x + 6

4x - 3y = 16

• (-2,-8)

• (-8,-2)

• (-2,20)

Tony bought 3 slices of cheese pizza (x) and 4 slices of pepperoni pizza (y) for a total cost of $12.50. Franky bought 3 slices of cheese pizza (x) and 2 slices of pepperoni pizza (y) for a total cost of $8.50.What does the solution mean ?

the cost of a slice of cheese pizza is ​ (a)   and the cost of a slice of pepperoni pizza is ​ (b)  

• $1.50

• $2.00

At a local movie theater, the price for tickets is $10.00 for adults and $5.50 for students. The price of adult tickets increases by $0.20 each year, and the price of student tickets increases by $0.50 each year. The equations y = 0.20x + 10 and y = 0.50x + 5.5 represent the situation, where x represents the number of years since the first year, and y represents the price of the tickets. After how many years will the ticket prices be the same?

Mathematical Equivalence

ON

What is the solution to the given system of linear equations ?

(​ (a)   , ​ (b)   )

• 1.5

• 2

Enter the x coordinate for the solution to this system.

2x + y = 17

-5x + y = -4

Mathematical Equivalence

ON

Complete the problem by filling in the blanks.

b

c

a

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• the same line

• Intersecting lines