Alg I Review #4 (A.SSE.1a, F-BF.3, A-APR.1, & A-CED.3)

Charles made a profit represented by the expression 4x+10. Zoe made a profit represented by the expression 16x+40. Which describes how the profit that Zoe made compares to the profit Charles made?

• The profit that Zoe made is 12 times the profit that Charles made.

• The profit that Zoe made is 3 times the profit that Charles made.

• The profit that Zoe made is 4 times the profit that Charles made.

• The profit that Zoe made is 2 times the profit that Charles made.

Sylvia drove a distance represented by the expression 2x+6. Sydney drove a distance represented by the expression 10x+30. Which describes how the distance that Sydney drove compares to the distance Sylvia drove?

• The distance that Sydney drove is 8 times the distance that Sylvia drove.

• The distance that Sydney drove is 5 times the distance that Sylvia drove.

• The distance that Sydney drove is 4 times the distance that Sylvia drove.

• The distance that Sydney drove is 3 times the distance that Sylvia drove.

A plumber charges individuals an initial fee of $50 to service a house. The plumber charges an additional $75 per hour.

Which function represents the total cost in dollars, C(t), of the plumber's fee in t hours?

• C(t) = 50 - 75t

• C(t) = 50 + 75t

• C(t) = 75 - 50t

• C(t) = 75 + 50t

A wedding photographer charges couples an initial fee of $300 to take pictures at a wedding. The photographer charges an additional $125 per hour.

Which function represents the total cost in dollars, C(t), of the photographer's fee in t hours?

• C(t) = 125 - 300t

• C(t) = 125 + 300t

• C(t) = 300 - 125t

• C(t) = 300 + 125t

Which polynomial is a product of  $3x+2$   and $x^2+5x+6$ ?

•  $3x^3+5x+12$  

•  $3x^3+18x+6$  

•  $3x^3+15x^2+30x+12$  

•  $3x^3+17x^2+28x+12$  

Which polynomial is a product of  $2x-4$   and $x^2+3x-1$ ?

•  $2x^3+10x^2+10x-4$  

•  $2x^3+2x^2-14x+4$  

•  $2x^3-10x^2+14x-4$  

•  $2x^3+2x^2-10x+4$  

The Thunder on Water Fair charges kids $5.00 to enter and $3.00 for each ride.

Which equation represents the amount in dollars, y, for

the amount of money a child needs to attend Thunder on Water?

• $y=3+5x$

• $y=3-5x$

• $y=5+3x$

• $y=5-3x$

Jane wants to earn at least $80 from her lemonade stand this weekend. At most, she can work 10 hours. Her first day she made $8 per hour selling lemonade, and on her second day, she made $10 per hour. Let x represent the number of hours worked on the first day and y represent the number of hours worked on the second day. Which system of linear inequalities models Jane's situation?

• $x+y>10\ \ \ \&\ \ \ 8x+10y\le80$

• $x+y\le10\ \ \ \&\ \ \ 8x+10y\ge80$

• $x+y<10\ \ \ \&\ \ \ 8x+10y>80$

• $x+y\ge10\ \ \ \&\ \ \ 8x+10y<80$

Mary wants to sell at least 250 shirts this weekend at the fashion show this weekend. At least, she needs to work more than 20 hours to make a profit. On Saturday she will 10 shirts per hour, and on Sunday she will sell 15 shirts per hour. Let x represent the number of hours worked on Saturday and y represent the number of hours worked on Sunday.

Which inequalities can be used for a system of linear inequalities to model Mary's situation? Click on all that apply.

•  $10x+15y>250$  

•  $10x+15y\ge250$  

•  $10x+15y\le250$  

•  $x+y\le20$  

•  $x+y>20$  

Candice wants to sell more than 50 cars on her next two days at work.  At most, she can 8 hours to reach her goal. On day one she she can average 10 cars per hour, and on day two she can sell 7 cars per hour. Let x represent the number of hours worked on day one and y represent the number of hours worked on day two.

Which inequalities can be used for a system of linear inequalities to model Candice's situation? Click on all that apply.

•  $10x+7y>50$  

•  $10x+7y>50$  

•  $10x+7y<50$  

•  $x+y\le8$  

•  $x+y>8$