Checking Points in Systems of Equations

Which pair of values for x and y will not satisfy the following system?

• x=1, y=1

• x=3, y=4

• x=5, y=7

• x=6, y=6

A system of linear inequalities is below. Which point is not a solution to this system?

• (-4,0)

• (0,-1)

• (-1,-6)

• (-3,-4)

Nathan has a savings account that he deposits $4.00 into each week. He has a checking account with an initial balance of $60.00 that he uses to make a regular $6.00 weekly payment. Nathan creates a graph of the balances for these two accounts as a function of time in weeks. From the graph, Nathan concludes that eventually he will have the same amount in both accounts. How many weeks will it be before this happens?

• The two accounts will have the same amount after 10 weeks.

• The two accounts will have the same amount after 7 weeks.

• The two accounts will have the same amount after 6 weeks.

• The two accounts will have the same amount after 1 week.

Which pair of points is in the solution set for the system of linear inequalities below?

• (-2,1) and (0,3)

• (1,2) and (3,2)

• (-1,-1) and (2,-1)

• (0,0) and (-1,-5)

What is the solution to this system of equations?

• (2,-1)

• (-1,2)

• (-2,1)

• (-2,-1)

A system of equations is shown. What is the value of x + y?

• -5

• 8

• 13

• 3

Which ordered pair is a solution of the system of linear equations listed below?

• (2,-1)

• (3,-1)

• (-1,3)

• (-1,-3)

A system of equations is shown below. What is the solution to the system of equations?

• (1,5)

• (4,8)

• (6,2)

A system of equations is shown below. 4x - y = 20 -2x - 2y = 10 What is the value of x in the solution to the system?

• -1

• 2

• 3

• -8

Three systems of equations are shown in the table below. Place the choice that describes the number of solutions of each system into the appropriate column in the table below. Select all that apply!

• 2x+2y=16 4x+3y=27

• 2x+3y=12 2x+3y=18

• 2x+2y=8 4x+4y=16