Free Printable ALG Checkpoint 2 Practice

1.

What is the y-intercept in the following equation:
$y=-4x-5$

a)

-4

b)

-4x

c)

5

d)

-5

2.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

3.

What is the slope of the line that passes through these two points (0, -2) and (3, -4)?

a)

2/3

b)

-2/3

c)

3

d)

-2

4.

Write the equation of the line.

a)

$y=-\frac{2}{3}x+4$

b)

$y=\frac{2}{3}x+4$

c)

$y=\frac{3}{2}x+4$

d)

$y=-\frac{3}{2}x+4$

5.

Write the equation of the line.

a)

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

b)

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

c)

$y=3x-2$

d)

$y=-3x-2$

6.

Graph the line with the equation
$y\ =\ -\frac{2}{3}x\ +\ 4$

a)

b)

c)

d)

7.

Graph the line with the equation
$y\ =\ -\frac{1}{3}x\ -\ 4$

a)

b)

c)

d)

8.

What type of slope does the graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

9.

What type of slope does the graph have?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

10.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

11.

Find the slope of the line that passes through (10, -8) and (1, 12).

a)

20/9

b)

-20/9

c)

4/9

d)

9/4

12.

What is the slope?

a)

-1/3

b)

-3

c)

-4

d)

5

13.

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?

a)

200

b)

150

c)

300

d)

75

14.

Which Graph has a slope of zero?

a)

Red

b)

Blue

c)

Neither

15.

What is the y-intercept for this given line?

a)

(5,0)

b)

(0,-5)

c)

(7, 0)

d)

(0, 5)

16.

Assume that y varies directly with x. Find the constant of variation when y = -4 and x = 2.

a)

-2

b)

2

c)

8

d)

-8

17.

Assume that y varies directly with x. Find the constant of variation when y = 7 and x = 4.

a)

1.75

b)

28

c)

-28

d)

-1.75

18.

Anthony ran 3 miles (y) in 12 minutes (x) and 6 miles in 24 minutes.

What is the constant of variation?

a)

$k=3$

b)

$k=4$

c)

$k=\frac{1}{3}$

d)

$k=\frac{1}{4}$

19.

A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00 for 20 hours of work. Find the amount of pay for 31 hours of work.

a)

$3813

b)

$620

c)

$190.65

d)

$4.96

20.

At top speed, a rabbit can cover 7 miles in 12 minutes. What is the constant of variation?

a)

k = 7

b)

k = 12

c)

k = 12/7

d)

k = 7/12

21.

At top speed, a rabbit can cover 7 miles in 12 minutes. If a rabbit could continue at this rate indefinitely, how long would it take the rabbit to cross the 220-mile expanse of the Mojave Desert?

a)

31.4 minutes

b)

18.3 minutes

c)

377.1 minutes

d)

128.1 minutes

22.

What is the y-intercept of the line?

a)

(0,¹/₂)

b)

(0,1)

c)

(0, ^-1/2)

d)

(0, -1)

23.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

24.

^{What is the zero of the function?}

a)

-2

b)

0

c)

-1

d)

-2

25.

Which ordered pair could represent the zero (x-intercept) of a function.

a)

(0, 4)

b)

(4, 4)

c)

(4, 0)

d)

None of these.

26.

The total cost in dollars, c, to purchase video games online can be found using the function c = 16.95x + 4.75, where x is the number of video games purchased. If at least 4 games but no more than 7 games are purchased online,
what is the range of the function for this situation?

a)

{4, 5, 6, 7}

b)

4 ≤ x ≤ 7

c)

72.55 ≤ c ≤ 123.50

d)

{72.55, 89.50, 106.45, 123.40}

27.

A pizza shop sells pizza for $7.50 each plus $1.25 per topping. The total price of the pizzas can be determined by the function P(t) = 7.5 + 1.25t, where te is the number of toppings orders and P(t) is the total price of the pizza. The shop has a delivery policy that all orders must have a minimum of 2 toppings and maximum of 8 toppings for a delivery. Which inequality represents the range of the situation?

a)

{10, 11.25, 12.50, 13.75, 15, 16.25, 17.50}

b)

{2, 3, 4, 5, 6, 7, 8}

c)

10 ≤ P(t) ≤ 17.50

d)

0 ≤ P(t) ≤ 17.50

28.

Janice is working as a babysitter for the Harold Family. They plan to leave for their date at 7:00 pm and be back by 12:00 am. If the equation f(x) = 15x + 20 models the amount that Janice will earn, where x is the number of hours she works, and f(x) is the total money she earns, what is an appropriate domain?

a)

any value between 0 and 5

b)

any value between 15 and 20

c)

any value between -1 and 1

d)

any value greater than 0

29.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

30.

Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3

a)

$y-5=-3\left(x-10\right)$

b)

$y=-3x+35$

c)

$y+5=-3\left(x+10\right)$

d)

$y=-3x-35$

31.

Find the graph of the standard form equation:
$x-2y=0$

a)

b)

c)

d)

32.

What is the y-intercept of the graph?

a)

(4, 0)

b)

(-2, 0)

c)

(0, 4)

d)

(0, -2)

33.

Which line has an x-intercept of -5 and a y-intercept of 3?

a)

b)

c)

d)

34.

What is the zero of the graph?

a)

-2

b)

0

c)

-4

d)

-3

35.

What is the equation of this line in slope-intercept form?

a)

y = 2x + 5

b)

y = -2x + 5

c)

y = -2x

d)

y = 5

36.

Write the following equation in slope-intercept form:
4x - 3y = 12

a)

y = -4/3x + 3

b)

y = -4x + 12

c)

y = 4/3x - 4

d)

y = 4/3x - 12

37.

The table represents some points on the graph of linear function f.

Which function represents f ?

a)

$f(x)=26(x-2)$

b)

$f(x)=-26(52x-1)$

c)

$f(x)=26(x-52)$

d)

$f(x)=26x\left(x-52\right)$

38.

The table shows a linear relationship between two variables, x and y.

a)

$2x+3y=6$

b)

$3x-2y=-6$

c)

$2x-3y=-6$

d)

$3x-2y=6$

39.

In a direct variation, y=39 when x=3. Find the value of y when x=2.

a)

26

b)

3

c)

58.5

d)

2

40.

Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?

a)

$394

b)

$440

c)

$472.80

d)

$512.20

41.

The amount of money earned on a job is directly proportional to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

a)

$2

b)

$308

c)

$1.57

d)

$265

42.

The value of y varies directly with x. Which function represents the relationship between x and y if y = 14 when x = 6.

a)

y=20x

b)

y=84x

c)

y=7/3x

d)

y=3/7x

43.

Suppose y varies directly as x. If y = -7 when x = -14, find x when y = 10.

44.

Suppose y varies directly as x. If y = 3 when x = 15, find x when y = 5.

45.

Suppose y varies directly as x. If x = 24 when y = 8, find y when x = 33.

46.

Suppose y varies directly as x. If x = 27 when y = 6, find x when y = 2.

47.

If y = 4 when x = -4, find y when x = 7

48.

If y varies directly with x and y = 12 when x = 15, what is the value of x when y = 16?

ALG Checkpoint 2 Practice

Total questions: 48

Worksheet time: 2hrs 42mins

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