Systems of Equation and Inequality Review

Two numbers have a sum of 217 and a difference of 85. What is the smaller of the two numbers?

Select the best option below for solving this system of equations using elimination.

• Multiply the first equation by -1.

• Multiply the first equation by -2.

• Solve the second equation for y, then substitute that expression in for y in the other equation.

• No changes are necessary - this system is perfectly setup for elimination.

• substitution

• elimination

Which answer below shows the first step in solving the below system of equations using substitution?

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?

• 3x + 2y = 315
  2x + 4y = 450

• 3x + 2y = 450
  2x + 4y = 315

• 2x + 2y = 315
  3x + 4y = 450

Which point is a solution to the system of inequalities?

• (-8,2)

• (-3, 1)

• (0,6)

• (4, 3)

Pick the ordered pair that is NOT a solution

• (0,0)

• (1,-1)

• (2,0)

• (4,-4)

This system of linear equations is graphed as shown. What is the solution to this system of equations?

Tags

7 Systems of Equations

Solve the following equations for x and y:
-6x+6y=6
6x-3y=12

• (6, 5)

• (5, 6)

• (4, 4)

• (2, 4)

What is the solution to the system?

• (-1, 4)

• (3, 0)

• (4, 1)

• (0, -1)