Free Printable Foundations NC Check In Review

1.

What value for n makes the following sentence true?

2(n + 3) = 5

a)

1

b)

10

c)

5.5

d)

-0.5

2.

What is the solution to the following inequality?

3x - 1 < 2x + 4

a)

x < 5

b)

x < -1

c)

x < 3

d)

x < 1

3.

What is the solution to the following inequality?

-2x +1 < -35

a)

x < 17

b)

x < 18

c)

x > 18

d)

x > 17

4.

Solve:
4(2a + 3) < 3(a - 1)

a)

a<-3

b)

a>-3

c)

a<3

d)

a>3

5.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

6.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

7.

47 = 2x + 3(5x - 7)

a)

1

b)

2

c)

3

d)

4

8.

3(2e + 5) + 8(1 - e) = 1

a)

11

b)

- 11

c)

13

d)

- 13

9.

Solve the equation:
3x - x + 2 = 4(2x - 1)

a)

infinite solutions

b)

x = 1

c)

x = -1

d)

no solution

10.

Solve the equation:
½ (2x + 6) = 3x + 13

a)

no solution

b)

x = 8

c)

x = -5

d)

x = 7

11.

Solve the equation:
2x - 1 = ¾x + 9

a)

x = -10

b)

x = 8

c)

x = -37

d)

x = 6

12.

-15 = 5a +12- 2a + 6

a)

-11

b)

-3

c)

10

d)

7

13.

Write the equation of the line with a slope of -5/4 and a y-intercept of 2.

a)

y = -1/4x + 2

b)

y = 2x - 5/4

c)

y = 1/4x + 2

d)

y = -5/4x + 2

14.

Write the equation of the line passes through the point (3,-1) and has a slope of 2.

a)

y = 3x - 1

b)

y = 2x - 5

c)

y = 2x - 7

d)

y = -x + 3

15.

Write the equation of the line passes through the point (2,1) and has a slope = 4.

a)

y = 3x - 2

b)

y = 4x - 7

c)

y = 4x + 7

d)

y = 3x + 3

16.

In slope-intercept form, write the equation of the line passing through the points (-3,4) and (-4,2).

a)

y = -2x + 10

b)

y = -2x - 10

c)

y = 2x - 10

d)

y = 2x + 10

17.

In slope-intercept form, write the equation of the line passing through the points (-4,1) and (-3,2).

a)

y = -x + 5

b)

y = x + 5

c)

y = x - 5

d)

y = -x + 5

18.

Write the equation in slope-intercept form: 5x - 2y = 12

a)

y = 5/2x - 6

b)

y = -5/2x - 6

c)

y = 5x +12

d)

y = -5x + 12

19.

What is the equation for the line with a slope of 7 and passes through (0,1)?

a)

y = -7x + 1

b)

y = 7x + 1

c)

y = -1/7x - 1

d)

y = -1/7x + 1

20.

Write the equation of the line

a)

A

b)

B

c)

C

d)

D

21.

Write the equation of the line

a)

A

b)

B

c)

C

d)

D

22.

What is the equation of the line that goes through the points (2, 9) and (3, 1) ?

a)

y= 8x - 5

b)

y= -8x + 25

c)

y= (1/8)x - 2

d)

y= (-1/8)x + 1

23.

If
$f(x)=-4x-5$

$g(x)=-x+3$

what is $g(-4)$ + $f(1)$ ?

a)

7

b)

-2

c)

-9

d)

-10

24.

Given

f(x) = 2x² + 5x - 17

find f(-1)

a)

f(-1) = -20

b)

f(-1) = -24

c)

f(-1) = -16

d)

f(-1) = -10

25.

a)

-67

b)

67

c)

77

d)

-77

26.

a)

16

b)

48

c)

-28

d)

4

27.

a)

-20

b)

20

c)

-24

d)

24

28.

a)

1

b)

-1

c)

19

d)

-19

29.

Translate the expression into an equation: 18 less than a number is 19.

a)

$x=1$

b)

$18-x=19$

c)

$x-18=19$

d)

$x=37$

30.

Solve:

The cost of renting a jet ski is $40 per day plus $50 per hour of use. How many hours was the jet ski rented if the total coast was $390?

a)

$7\ hours$

b)

$8.6\ hours$

c)

$8.5\ hours$

d)

$11\ hours$

31.

Bob has $150 in his savings account and saves $40 per month.

a)

y=150 + 40

b)

y=40x + 150

c)

y=150x + 40

32.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation for C, the total cost, to rent the boat for h hours.

a)

h = 2C + 15

b)

C = 15h + 2

c)

h = 15C + 2

d)

C = 2h + 15

33.

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

a)

y = 20x + 5

b)

y = 5x +20

34.

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. Interpret the y-intercept in context.

a)

The additional fee of $8.

b)

The initial fee of $25.

c)

The additional fee of $25.

d)

The initial fee of $8.

35.

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

a)

y = 8.5 + 25.5

b)

y = 25.5 + 8.5x

c)

y = 8.5 + 25.5x

36.

A fitness club opens with 80 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+80

c)

y=x+15

d)

y=80x+15

37.

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

a)

y = 8x + 50

b)

C = 50m +8

c)

y = 50x + 8

d)

C = 8m + 50

38.

Which of the following situations could be descried by the equation y= -25x + 120

a)

There are 120 people in the football stadium, and 25 more are entering each hour.

b)

A plumber charges $25 for a house call and $120 per hour.

c)

A teacher has 120 students. Her third period has 25 students

d)

There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

39.

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

a)

C = 15 + 0.20x

b)

C =15 (0.20x)

c)

C = 15 + x + 0.20

d)

C = 0.20 + 15x

40.

Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

a)

y = 15x + 40

b)

y = 40x + 15

c)

y = 15x

d)

y = 15x - 40

41.

Find the average rate of change over the given interval.

a)

4

b)

7

c)

7/3

d)

3/7

42.

Calculate the average rate of change from 20 to 40 minutes.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

43.

What is Mrs. Gordon's rate from 0 to 2 seconds?

a)

2.5 feet per second

b)

.4 feet per second

c)

5 feet per second

d)

.2 feet per second

44.

At 0 seconds, Mrs. Taylor was 10 feet off the ground. At 5 seconds, she was 20 feet off the ground. What is her rate in feet per second?

a)

10 feet per second

b)

5 feet per second

c)

2 feet per second

d)

6 feet per second

45.

Average Rate of Change is also known as...

a)

y-intercept

b)

x-intercept

c)

linear

d)

slope

46.

Find the slope of the line.

a)

-2/1

b)

2/1

c)

-1/1

d)

1/1

47.

In the following equation, what is the y-intercept?
y = -3x + 7

a)

-3

b)

7

c)

-3/7

d)

3

48.

Solve for y:
2x + 2y = 6

a)

y = - x + 3

b)

y = x + 3

c)

y = 2x +6

d)

y = - 2x + 6

49.

8x + 4y= 16

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12

50.

10x - 2y = 6

a)

y = 5x - 3

b)

y = -5x + 3

c)

-2y = -10x + 6

d)

y = 1/5x - 1/3

51.

5x - y = 16

a)

-y = 5x + 16

b)

y = 5x + 16

c)

x = 5y - 16

d)

y = 5x - 16

52.

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

a)

b)

c)

d)

53.

Which graph represents the equation $y=4x-1$

a)

b)

c)

d)

54.

Which graph represents the equation $y=-3x$

a)

b)

c)

d)

55.

Which graph represents $y=\frac{1}{2}x+2$

a)

b)

c)

d)

Foundations NC Check In Review

Total questions: 55

Worksheet time: 4hrs 52mins

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