Solving Systems of Equations and Inequalities Quiz Review 1

Remember:

Which of the following is NOT a method of solving systems of equations?

• Elimination

• Inequalities

• Graphing

• Substitution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Remember:

How many solutions does this system of equations contain?

2x + 4y = 8

8x + 16y = 32

• No solution

• One solution

• Two solutions

• Infinite Solutions

Tags

CCSS.8.EE.C.8B

Remember:

What does the following symbol mean?

≤

• Greater than or equal to

• Less than or equal to

• Greater than

• Less than

Tags

CCSS.6.EE.B.8

Understand:

The solution to a system of equations should look like this: (x,y)

This type of solution represents a _____ on a graph.

Tags

CCSS.8.EE.C.8A

Understand:

Inequality signs only flip when multiplying or dividing by ________ numbers.

Tags

CCSS.6.EE.B.8

Understand:

After solving for one variable using the elimination method, the other

variable must be solved for using the ____________ method.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Apply:

What real-world scenario could require the solving of

systems of equations using graphing?

• To determine if it is cheaper to take an Uber or a taxi

• To determine where and when two travelers will intercept each other

• To determine when two different bank accounts will hold the same amount of money

• To determine the temperature outside using a scientific formula

Tags

CCSS.8.EE.C.8C

Apply:

A theater sold 100 tickets for a show. Adult tickets cost $10 each, and student tickets cost $6 each. If the total revenue from ticket sales was $800, how many of each type of ticket were sold?

Which of the following equations could be used to solve this problem?

(Adult tickets = A ; Student tickets = S)

• A + S = 800

  10A + 6S = 100

• A + S = 800

  6A + 10S = 100

• A + S = 100

  10A + 6S = 800

• A + S = 100

  6A + 10S = 800

Tags

CCSS.8.EE.C.8C

Apply:

Which of the following methods could be used to solve this system of equations?

x + 2y = 17

x - y = 34

• Substitution

• Elimination

• Graphing

• Inequality

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Analyze:

What method would you use to solve this equation and why?

4y = 2x + 16

2y = -x + 8

(After explaining, solve using your selected method and upload an image of your work)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6