Solving Systems of Equations and Inequalities Review

The cost of 12 oranges and 7 apples is $5.36. Eight oranges and 5 apples cost $3.68. Write the system of equations.

• 12x + 7y = 3.68

  8x + 5y = 5.36

• 12x + 8x = 5.36

  7y + 5y = 3.68

• 12x + 7y = 5.36

  8x + 5y = 3.68

The cost of 12 oranges and 7 apples is $5.36. Eight oranges and 5 apples cost $3.68. Find the cost of each.

• The cost of one orange is $0.26, and the cost of one apple is $0.32.

• The cost of one orange is $0.32, and the cost of one apple is $0.26.

What is the solution of the system graphed?

• (-2,-3)

• -3

• (-3,-2)

• -2

Karen is two times as old as Ally. The sum of their ages is 55. If the variable k represents Karen's age, and the variable a represents Ally's age, which linear system could be used to solve for their ages?

• k = 2a

  k - a = 55

• a = 2k

  k + a = 55

• k = 2a

  k + a = 55

• a = 2k

  2a + k = 55

If elimination is used to solve the system of equations, what is the result of the first step?

x - y = 13

x + y = 10

• 0 = 3

• 2y = 23

• 2x = 3

• 2x = 23

Solve for x and y
2x − 3y = −1
 y = x − 1

• (-2,-3)

• (0,-1)

• (3,4)

• (4,3)

Solve the following system by graphing.  What is the solution?

• (-4, 2)

• (4, 2)

• (2, -4)

• (2, 4)

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph

• Don't touch

• Intersect

• Exist

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions