Solve systems of equations and inequalities Review

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

• 5x + 6y = 765

Tags

CCSS.HSA.CED.A.3

Which point is a solution?

• (0, 6)

• (-3, 4)

• (1, 1)

• (-4, 3)

Tags

CCSS.HSA.REI.D.12

What is the solution?

• (3, 6)

• (6, 3)

• (-6, 3)

• No solution

Tags

CCSS.8.EE.C.8A

Are the points on the boundary line part of the solution set or not?

• Yes, they are part of the solution set

• No, they are NOT part of the solution set

• It is impossible to determine.

Tags

CCSS.HSA.REI.D.12

Which would be correct describing the solution for this graph of two inequalities?

• Any point that is NOT in the pink or blue is a solution to this system.
• Any point that falls in either the pink or blue is a solution to the system.
• Only a point that is on either boundary line is a solution to this system.
• There is no point that is a solution to this system.

Tags

CCSS.HSA.REI.D.12

Which points are solutions to the system shown?

• (5, 3) (6, -3)
• (3, 3) (5, -3)
• (-2, 2) (-4, 4)
• (1, 2) (1, 5)

Tags

CCSS.HSA.REI.D.12

What are systems of linear equations?

• a set of two or more linear equations in the same variables

• a polynomial with three terms

• set of two or more linear inequalities in the same variables

• an equation with one solution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

If you are solving the system by elimination, one of the “best” strategies to accomplish this would be:

• Multiply the bottom equation by -2, and then subtract the two equations.

• Solve the bottom equation for y, and then substitute for y in the top equation.

• Multiply the top equation by -4, and then add the two equations together.

• Multiply the top equation by 8, and then multiply the bottom equation by 2. Then, add the two equations together.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

How many solutions does this system of equations have?

• One Solution

• No Solution

• Two Solutions

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8B

3x + 2y = 16

7x + y = 19

If you are solving the system of equations above by substitution, one of the “easiest” ways to do this would be:

• to solve the top equation for x, and then substitute into the bottom equation for x.

• to solve the bottom equation for y, and then substitute into the top equation for y.

• to multiply the bottom equation by -2 and add the two equations together.

• to set the two equations equal to each other and solve for x.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6