Solve Equations and Inequalities Review

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.8B

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

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.8A

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

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables?

• t = # of tacos

  m = # of glasses of milk

• t = cost of each taco

  m = cost of each glass of milk

• t = total cost

  m = # of food items

• t = cost of each glass of milk

  m = cost of each taco

Tags

CCSS.8.EE.C.8C

Check to see if (-2, 1) is a solution to the following system:

x + 2y = 0

4x + 3y = 1

• yes

• no

• Impossible to determine

Solve using elimination method:

2x + 3y = 10

-2x + y = 14

• (6, -4)

• (4, 6)

• (-4, 6)

• (6, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6