Unit 1-3 Mixed Review

Unit 1 - 3 Mixed Review

Function Notation

​f(x) = 2x - 8

Multiple Choice

Bob's Plumbing charges a service fee of $40 plus an additional $25 per hour for coming out to your house. Which equation models this situation?

• f(x) = 25x + 40

• f(x) = 40x + 25

• f(x) = 25x

• f(x) = 25x - 40

Multiple Choice

A student in the BHS Band saves $15 per week for a new instrument. Her grandmother gives her $50 to start. Which statement can be used to find the amount saved after x weeks? Then find how much money the student has saved up after 3 weeks.

• f(x) = 50X + 15; f(4) = $110

• f(x) = 15x + 50; f(95) = 3

• f(x)=50 + 15x; f(3) = $95

• f(x) = 15x - 50; f(4) = $93

Multiple Choice

A mechanic charges a flat fee of $15 and then charges $65 per hour. Write a formula for the total cost of hiring the mechanic. Then evaluate the function to determine the cost for a mechanic if he spends 4 hours on the job.

• f(x) = 15x + 65; f(4) = 90

• f(x) = 65x + 15; f(4) = 275

• f(x) = 65x + 15; f(275) = 4

• f(x) = 15x + 65; f(4) = 125

Multiple Choice

A barber shop charges a fixed rate of $15.00 for a men's haircut and an additional $10 for any other services. Formulate a function to model the cost of services at the barber shop and then evaluate the function to determine the cost for a men's haircut, shampoo, a shoeshine, and a shave.

• f(x) = 15x + 10; f(2) = 40

• f(x) = 10x + 15; f(4) = 55

• f(x) = 10x - 15; f(3) = 15

• f(x) = 10x + 15; f(3) = 45

• f(x) = 15x + 10; f(3) = 55

Systems of Inequalities

Multiple Select

Which THREE ordered pairs are in the solution set of the inequality $$y\le\frac{2}{5}x+1$$ ?

• (0, 2)

• (1, -4)

• (2, 0)

• (-6, -1)

• (1, -2)

Multiple Select

The graph of the line 4x + 5y = 15 is shown. Which THREE ordered pairs are in the solution set of the inequality 4x + 5y < 15?

• (0, 2)

• (5, 0)

• (-1, 3)

• (5, -5)

• (0, 5)

Multiple Select

Carlos plans to work at a movie theater this summer selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each movie showing. He wrote the following system of inequalities to determine the combinations of tickets he can sell. Let x = the number of adult tickets, and y = the number of children tickets.

$$x+y\le300$$

$$7.5x+5.5y\ge2000$$

Select the THREE choices that will earn the theater AT LEAST $2000, but can fill AT MOST 300 seats.

• 250 adult tickets and 40 childrens tickets

• 200 adult tickets and 45 childrens tickets

• 280 adult tickets and 10 childrens tickets

• 200 adult tickets and 95 childrens tickets

• 250 adult tickets and 10 childrens tickets

Multiple Select

Luka and Dana are selling cookes to earn money for their halloween costumes. They have enough grocieries to bake AT MOST 150 cookies. They are selling chocolate chip cookies (x) for $2.00, and snickerdoodle cookies (y) for $3.00. They need to make at earn 300 cookies. They wrote the following system of inequalities to determine combinations of cookies that they can bake.

$$x+y\le150$$

$$2x+3y\ge300$$

Select THREE choices that will earn them at least $300, but will not require them to bake AT MOST150 cookies.

• 50 chocolate chip cookies and 80 snickerdoodle cookies

• 50 chocolate chip cookies and 65 snickerdoodle cookies

• 80 chocolate chip cookies and 80 snickerdoodle cookies

• 40 chocolate chip cookies and 100 snickerdoodle cookies

• 30 chocolate chip cookies and 110 snickerdoodle cookies

Multiple Choice

The length of a rectangle is 14 feet and its width is w. The perimeter of the rectangle is, AT MOST, 65. Which inequality can be used to find the longest possible width?

• 14 + w < 65

• $$28+2w\le65$$

• $$65\ +\ 4w\le28$$

• $$65+2w\ge28$$

Multiple Choice

The length of a rectangle is 20 inches and its width is w. The perimeter of the rectangle is, AT MOST, 48. Which inequality can be used to find the longest possible width?

• 20 + w < 48

• 40 + 2w > 48

• $$40\ +\ 2w\le48$$

• $$40+2w\ge48$$

​Arithmetic Sequences

Multiple Choice

Which function describes the arithmetic sequence shown?

  4, 7, 10, 13, 16, …

• $$f\left(n\right)\ =\ 1+3n$$  

• $$f\left(n\right)=\ 0+4n$$  

• $$f\left(n\right)\ =\ 3\ +\ 3n$$  

• $$f\left(n\right)=\ 16\ +\ 4n\$$  

Multiple Choice

Which function describes the arithmetic sequence shown?

    -12, -7, -2, 3,…

• $$a_n\ =\ 5\ -12n\$$  

• $$a_n\ =\ -17\ +\ 5n$$  

• $$a_n\ =\ -5\ +\ 12n$$  

• $$a_n\ =\ -17-5n$$  

Multiple Choice

which function describes the arithmetic sequence shown?

2, 8, 14, 20, 26,...

• f(x) = 6x + 2

• f(x) = 6x - 6

• f(x) = 6x - 4

• f(x) = -6x + 4