Retest Review: Equations, Inequalities and Functions

Find the value of x in the model. Type in the numerical value for x only.

You must turn in the work for this on notebook paper.

x =

At a store each notebook has a cost of x dollars. Which situation can be represented by this inequality?​

• The cost of 5 notebooks is greater than the cost of 3 notebooks plus a $2 pen.

• The cost of 5 notebooks is less than the cost of 3 notebooks with a $2-off coupon.

• The cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen.

• The cost of 5 notebooks is $2 greater than the price of 3 notebooks.

Solve for k. Type in the numerical value for k only.

You must turn in the work for this on notebook paper.

-8k + 6 = -10k + 10

k =

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.
• Yes, because each x-value has only one y-value paired with it.
• No, because the x-value 11 has two y-values pair with it.
• No, because each x-value has only one y-value paired with it.

Which set of ordered pairs is a function?

• {(9,5), (10,5), (9,-5), (10,-5)}

• {(3,4), (4,-3), (7,4), (3, 8)}

• {(6,-5), (7, -3), (8, -1), (9, 1)}

• {(2, -2), (5, 9), (5, -7), (1, 4)}

Mrs. Collins is getting her windows cleaned. She finds two companies and needs to compare the prices. Company A charges a $50 dollar fee and $2 per window. Company B charges a $20 fee and $5 per window.

Let x equal the number of windows. What equation represents when the total cost for both companies would be the same

• 50x + 2 = 20x +5

• 50 + 2x = 20 + 5x

• 50 - 2x = 20 - 5x

• 50x - 2 = 20x -5

Is this is a function or not a function?

• Function
• Not a Function

Pet Toys Are the Best charges a $50 membership fee and $5 for each toy. Pet Stuff charges a $30 membership fee and $7.50 for each toy.

Write an inequality statement representing when purchasing toys from Pet Stuff will cost less compared to purchasing from Pet Toys Are the Best.

• 50 + 5x > 30 + 7.5x

• 50 - 5x < 30 - 7.5x

• 50 + 5x < 30 + 7.5x

• 50 + 5x = 30 + 7.5x

Tara has already knitted 10 hats and knits at the rate of 2 hats a day. Randy has knitted 6 hats and knits at the rate of 3 hats a day. 

Write an inequality that represents when Tara would make more hats than Randy.

• 10 + 2x > 6 + 3x

• 10 + 2x ≥ 6 + 3x

• 10 - 2x > 6 - 3x

• 10 - 2x = 6 - 3x

Sam has sold 20 tickets to the play and continues to sale tickets at the rate of 3 tickets per day. Tony has sold 5 tickets to the play and continues to sale tickets at the rate of 8 tickets per day. 

Write an equation that represents when Tony would sell the same amount of tickets as Sam. 

• 20 + 3x = 5 + 8x

• 20x + 3 = 5x +8

• 20 - 3x = 5- 8x

• 20x - 3 = 5x -8