Free Printable NC Math 1 EOC Review

1.

Sketch the graph the function

f\left(x\right)\ =\ \left(x-3\right)\left(x+3\right)

a)

b)

c)

d)

2.

Which inequality represents the graph?

a)

y < x/5 - 3/2

b)

y ≥ -5/2x + 3

c)

2x - 3y < 12

d)

y < -2/3x + 4

3.

(7y + 4)(8y + 2)

a)

58y² + 48y + 6

b)

65y² + 64y + 8

c)

56y² + 46y + 8

d)

56y⁸ + 46y - 8

4.

Inactive

a)

6

b)

5

c)

7

d)

4

5.

Inactive

a)

5

b)

6

c)

7

d)

8

6.

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

a)

10c + 5d = 14.25
5c + 10d = 16.50

b)

10c + 5d = 16.50
5c + 10d = 14.25

c)

c + d = 10
5c + 10d = 16.50

d)

c + d = 5
5c + 10d = 16.50

7.

In a pasture, there are horses and chickens. If there are a total of 28 animals and 80 legs, how many chickens and horses are there?

a)

10 horses, 18 chickens

b)

16 horses, 12 chickens

c)

12 horses, 16 chickens

d)

18 horses, 10 chickens

8.

What is the meaning of the y-intercept?

a)

Mrs. Franklin's meal will cost $6.85 if she brings no grandchildren.

b)

Mrs. Franklin's meal will cost $2.95 if she brings no grandchildren.

c)

Mrs. Franklin's bill will increase by $2.95 for every grandchild she brings.

d)

Mrs. Franklin's meal will decrease by $2.95 for every grandchild she brings.

9.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. What is the initial value in this scenario?

a)

$15

b)

$2

c)

Not enough information is given

10.

Given f(x) = -4x - 10 and f(x) = 10. Find x

a)

x = -5

b)

x = 5

c)

x = -50

d)

x = 30

11.

A company is selling bubble gum. The function g(x)=3x+4 tells the company how much to charge if someone buys x packages of bubble gum. Find g(8) and tell what it means within the context of the problem.

a)

g(8)=8. This means that after 8 packages of gum, the company makes $8.

b)

g(8)=42. This means that 8 packages of gum costs $42.

c)

g(8)=28. This means that 8 packages of gum costs $28.

d)

g(8)=24. This means that 8 packages of gum costs $24.

12.

Inactive

a)

3.5

b)

4

c)

4.5

d)

5

13.

^{Which point is a solution to the system of inequalities?}

a)

(-8,2)

b)

(-2,-5)

c)

(0,6)

d)

(4, 3)

14.

Match

a)

y < x−2
y < 3

b)

y > -x+2
y > 3

c)

y < -x+2
y < 3

d)

y < -x+2
y > 3

15.

Write the system of inequalities
Carlos works at a movie theater 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 showing

a)

x+y≤300
7.5x+5.5y≥2000

b)

x+y<300
7.5x+5.5y≥2000

c)

x+y≤300
7.5x+5.5y≤2000

d)

x+y>2000
7.5x+5.5y≤300

16.

Solve for C

\frac{ca}{k}+e=s

a)

$c=aesk$

b)

$c=\frac{kes}{a}$

c)

$c=\frac{k\left(s-e\right)}{a}$

d)

$c=\frac{\left(s-e\right)}{ak}$

17.

Which direction will this parabola open?

y=2x^2+8x-16

a)

upwards

b)

downwards

18.

Factor completely: x²+16x+64

a)

(x+4)(x+16)

b)

(x-8)(x-8)

c)

(x+2)(x+32)

d)

(x+8)(x+8)

19.

Inactive

a)

-3

b)

4

c)

-4

d)

3

20.

Factor: 25x²- 9

a)

(5x + 3)(5x - 3)

b)

(x + 5)(x - 3)

c)

(x - 3)(x + 5)

d)

(5x + 3)(3x + 5)

21.

Find the factors of 5x²+20x+20

a)

5(x+2)(x+2)

b)

5(x-2)(x-2)

c)

5(x+2)(x-2)

d)

(5x+2)(x+2)

22.

Find the mean:
28, 18, 19, 18, 17

a)

20

b)

18

c)

11

d)

19

23.

Find the median for the set of numbers:

23, 37, 11, 58, 13, 45

a)

30

b)

23

c)

37

d)

28

24.

a)

23

b)

-16

c)

6

d)

16

25.

Solve for x:

2x -1(3+4x) = 11

a)

x = -4

b)

x = 7/3

c)

x = -7

d)

x = -17/8

26.

How many solutions?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

27.

What is the solution to the system of equations?

a)

No Solution

b)

Infinitely Many Solutions

c)

(7, -2)

d)

(-5, -5)

28.

Given the equations below determine if they are parallel or not. y = 4x - 2 and y = 5 + 4x

a)

Yes, They are parallel

b)

No, They are not parallel

29.

Write an equation of a line perpendicular to
y = 2/7x - 5 through (2, -3)

a)

y = -7/2x + 4

b)

y = -4x - 7/2

c)

y = 4x - 7/2

d)

y = 7/2x + 4

30.

a)

A

b)

B

c)

C

d)

D

31.

Write and exponential function for the following problem: Mrs. Madison starts the year off with 100 pencils. Each week, half of the pencils disappear. How many would be left after x weeks?

a)

$y=100\left(2\right)^x$

b)

$y=100\left(\frac{1}{2}\right)^x$

c)

$y=2x\ +\ 100$

d)

$y=\left(\frac{1}{2}\right)^x$

32.

Andy has $620 in his account and deposits $75 per week. Josh has $1800 in his account and deposits $75 per week. When will they have the same amount of money in their accounts and how much will they have?

a)

In 15 weeks they will each have $5440

b)

In 15 weeks they will each have $5640

c)

In 16 weeks they will each have $5440

d)

In 16 weeks they will each have $5640

33.

a)

5.6

b)

6.5

c)

3.8

d)

4.9

34.

When is this function increasing?

a)

-2.5 < x < 2.5

b)

0 < x < 5

c)

0 < x < 55

d)

-5 < x < 0

35.

a)

120

b)

90

c)

105

d)

140

36.

a)

A

b)

B

c)

C

d)

D

37.

What are the solutions to the system:
y = x² + 3x - 5
y = x + 3

a)

(-4, 2) and (-1, 5)

b)

(-4, -1) and (2, 5)

c)

(2, -1 and (-4, 5)

d)

(-4, 1) and (2, -1)

38.

The table shows the amount of water in a pool as it drains. Calculate the slope and explain what it means.

a)

2.4 gallons of water are added to the pool each hour.

b)

2.4 gallons of water are drained from the pool each hour.

c)

41 gallons of water are added to the pool each hour.

d)

41 gallons of water are drained from the pool each hour.

39.

What is the standard deviation for the data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

a)

6.89

b)

10.1

c)

7.26

d)

9

40.

All of the below sets have the same mean.
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data probably has the points closest to the mean?

a)

1

b)

2

c)

3

d)

4

41.

What is another word for AVERAGE?

a)

Mode

b)

Median

c)

Mean

d)

Not nice

42.

What is the perimeter of the rectangle?

Write an expression to represent the perimeter.

a)

5x + 5x+ x+3 + x+3

b)

5x+x+3

c)

5x + x+3 + 5x

d)

(5x)(x+3)

43.

Find the perimeter in simplest form:

a)

6x + 11

b)

6x² + 11

c)

12x + 22

d)

12x² + 22

44.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make the equation equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

45.

A rectangular garden has a length of 2x - 7 and a width of 3x. Write a simplified expression to represent the area of the garden.

a)

6x² + 21x

b)

6x² - 21

c)

6x²- 21x

d)

5x² + 21x

46.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

a)

y = 1.5x + 12

b)

y = 12x + 1.5

c)

y = 0.67x - 8

d)

y = -8x + 0.67

47.

Using your linear regression, what is y when x is 30?

a)

61.59

b)

52.46

c)

57.94

d)

59.76

48.

Estimate the correlation coefficient

a)

r=-1

b)

r=1

c)

r=-0.5

d)

r=0.5

49.

A perfect negative correlation has a correlation coefficient of ____.

a)

1

b)

-1

c)

0

50.

Average time spent listening to music per day and average time spent watching TV per day. $r=-.17$

a)

strong positive

b)

strong negative

c)

weak positive

d)

weak negative

51.

Car weight and distance traveled using a full tank of gas. $r=-.86$

a)

strong positive

b)

strong negative

c)

weak positive

d)

weak negative

52.

Score on science exam and number of words written on the essay question. $r=.28$

a)

strong positive

b)

strong negative

c)

weak positive

d)

weak negative

53.

What is the median?

a)

62

b)

58

c)

66

d)

60

54.

Graph it! (PT)

a)

A

b)

B

c)

C

d)

D

55.

What is the equation of the linear function?

a)

y = -3x + 10

b)

y = -3x + 16

c)

y = 3x + 10

d)

y = 3x + 16

56.

The annual profits for a company are given in the following table, where x represents the number of years since 1992, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, estimate the year in which the profits would reach 378 thousand dollars.

a)

2029

b)

2014

c)

2003

d)

8753

57.

What is the line of best fit?

a)

f(x)= 5x+1.82

b)

cannot be determined

c)

f(x)= 1.82x + 5.02

d)

f(x)= 1.1x + 4.2

58.

Using your linear regression, what is y when x is 30?

a)

61.59

b)

52.46

c)

57.94

d)

59.76

59.

Shape?

a)

Skewed right

b)

Skewed left

c)

Symmetric

d)

Unimodal

60.

What is the shape of this bar graph?

a)

Skew right

b)

Skew left

c)

Symmetrical

d)

uniform

61.

a)

skewed left

b)

skewed right

c)

symmetrical

62.

Describe the shape of Daniel's data

a)

skewed left

b)

skewed right

c)

symmetrical

63.

What formula is the midpoint formula?

a)

b)

64.

The endpoints of segment CD are C (3, -5) and D (7, 9). Find the coordinates of the midpoint?

a)

(3, 5)

b)

(5, 2)

c)

(6,8)

65.

Which of the following could be a possible line of best fit for the data?

a)

y = -5/2x + 20

b)

y = -x + 19

c)

y = x + 20

d)

y = 2/3x + 15

NC Math 1 EOC Review

Total questions: 65

Worksheet time: 5hrs 25mins

Similar Resources on Wayground