Free Printable Milestones Bootcamp Day 1: Algebra & Functions

1.

A rental car company charges a flat fee of $25.00 and an additional $0.05 per mile. Which of the following functions gives the cost, c, of the rental car as a function of the number of miles, m, driven?

a)

$c=0.05m+25$

b)

$c=25m+0.05$

c)

$c=25\left(m+0.05\right)$

d)

$c=0.05m-25$

2.

Which of the following is the slope of a line that passes through the points (-4, 6) and (2, -9)

a)

$\frac{3}{2}$

b)

$-\frac{15}{2}$

c)

$-\frac{3}{2}$

d)

$-\frac{5}{2}$

3.

People are entering a stadium at a steady rate of 40 people per minute. After 60 minutes there are 2500 people in the stadium.

Write a linear equations for the number of people, n, as a function of the time in minutes, m, since the gates were opened. How many people would be in the stadium after two hours?

a)

$n=40m+100;\ 4900\ people$

b)

$n=40m+100;\ 180\ people$

c)

$n=60m+2500;\ 2620\ people$

d)

$n=m+40;\ 160\ people$

4.

People are entering a stadium at a steady rate of 40 people per minute. After 60 minutes there are 2500 people in the stadium.

Write a linear equations for the number of people, n, as a function of the time in minutes, m, since the gates were opened. How many people would be in the stadium after two hours?

a)

$n=40m+100;\ 4900\ people$

b)

$n=40m+100;\ 180\ people$

c)

$n=60m+2500;\ 2620\ people$

d)

$n=m+40;\ 160\ people$

5.

Which is the graph of $y=3x+1$ ?

a)

b)

c)

d)

6.

Which is the graph of $2x+2y=6$ ?

a)

b)

c)

d)

7.

What is the slope of the line shown on the graph?

a)

$\frac{3}{2}$

b)

$\frac{2}{3}$

c)

$\frac{1}{2}$

d)

2

8.

Find the slope of the line that passes through the two given points: (-3, -2) and (-5, -8)

a)

3

b)

$\frac{1}{3}$

c)

$\frac{5}{4}$

d)

$\frac{4}{5}$

9.

Identify the slope and y-intercept: y = -4x + 9

a)

slope: -4, y-intercept: 9

b)

slope: 9, y-intercept: -4

10.

Find the slope of the line.

(a)

11.

_{What is the y-intercept of the line?}

a)

(-1,0)

b)

(-1,-3)

c)

(1,1)

d)

(0-1)

12.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

13.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

14.

A fitness club opens with 90 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

a)

y=15x

b)

y=15x+90

c)

y=x+15

d)

y=90x+15

15.

What is the equation of the line that passes through the points ( 1, 2 ) and ( - 2, 5 )

a)

y = x + 3

b)

y = - x + 3

c)

y = - x + 1

d)

y = 3x + 3

16.

Determine the y-intercept for the following equation
4x + 2y = -12

a)

4

b)

-6

c)

-12

d)

2

17.

Write the slope-intercept form of the equation with the given point and slope.

m = 5 through ( - 1, - 3 )

a)

y = 5x + 2

b)

y = - 5x - 5

c)

y = - 5x + 2

d)

y = 2x - 5

18.

Write an equation: The total cost of renting a car is $65 for deposit and $37.50 per day.

a)

x = 65 + 37.50 y

b)

y = 65 x + 37.50

c)

y= 92.50x

d)

y= 37.50 x + 65

19.

Sandra has a $20 itunes gift card and spends $3 each month. Which equation represents the relationship between the amount of money left (y) and the number of months (x)?

a)

y=3x + 20

b)

y=3 + 20x

c)

y= -3x + 20

d)

y= -20x + 3

20.

An online game increases in number of users at a rate of 500 users each day. Which graph best represents the relationship between y, the number of users, and x, the number of days?

a)

b)

c)

d)

21.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

22.

Which function is best represented by the graph?

a)

$y=\frac{2}{3}x+1$

b)

$y=-\frac{2}{3}x+1$

c)

$y=1x-1.5$

d)

$y=\frac{2}{3}x-1.5$

23.

Convert the standard form equation into slope-intercept form.
x + y = -1

a)

y = x - 1

b)

y = 27, 239, 430

c)

y = -1x

d)

y = -x - 1

24.

what is the first step to solve for slope intercept form on

-x + 4y = 11

a)

subtract 11 from both sides

b)

add x to both sides

c)

subtract x from both sides

d)

put in th y=

25.

Write the equation in slope-intercept form: 2x + y = 41

a)

x = 2y + 41

b)

y = 2x -41

c)

y = -2x + 41

d)

x = y -39

26.

Convert the standard form equation into slope-intercept form.
x + 5y = -25

a)

y = -⅕x - 5

b)

y = -x - 5

c)

x = 20

d)

y = 27, 239, 430

27.

Convert the standard form equation into slope-intercept form.
x + 5y = -25

a)

y = -⅕x - 5

b)

y = -x - 5

c)

x = 20

d)

y = 27, 239, 430

28.

Convert from Standard Form to Slope-Intercept Form.

x + y = 3

a)

y = x + 3

b)

y = -3x

c)

y = -x + 3

d)

y = -x - 3

29.

Convert from Standard Form to Slope-Intercept Form.

4x - 2y = 6

a)

y = 2x - 3

b)

y = -2x + 3

c)

y\ =\ \frac{1}{2}x\ -\ 3

d)

y = 2x + 8

30.

Convert from Standard Form to Slope-Intercept Form.

x + 5y = 10

a)

$y=-5x\ +\ 2$

b)

$y\ =\ -\frac{1}{5}x\ +\ 5$

c)

$y\ =\ 5x\ +\ 2$

d)

$y\ =\ -\frac{1}{5}x\ +\ 2$

Milestones Bootcamp Day 1: Algebra & Functions

Total questions: 30

Worksheet time: 2hrs 49mins

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