Free Printable EOC Review

1.

What time should you go to bed tonight?

a)

about 5pm

b)

after midnight

c)

around 9pm

d)

11pm or thereafter

2.

$-x^{2\ }$ when x = $-4$

a)

16

b)

-16

c)

8

d)

-8

3.

solve using square roots

a)

±81

b)

±9

c)

±3

d)

No real solution

4.

If the endpoints of the diameter of a circle are (–4, 4) and (2, –2), what are the coordinates of the center of the circle?

a)

(-1 , 1)

b)

(1 , -1)

c)

(-3 , 3)

d)

(3 , -3)

5.

Why does the data in the table NOT represent a function?

a)

A function cannot have fractions in its domain.

b)

The domain element 1 has two different range elements.

c)

Two different domain elements have the same range, 4.

d)

It does represent a function.

6.

Shauna saw 30 fish. If the number of fish she saw was 6 more than twice the number of clams, which equation could she use to find x, the number of clams?

a)

2x + 6 = 30

b)

30 - 2x = 6

c)

6x + 2 = 30

d)

x = 2x + 6

7.

Compare ƒ(x) = -2x² - 8x + 20 to the graph of g(x) shown. What can you conclude about the two functions?

a)

ƒ(x) has a greater maximum than g(x).

b)

g(x) has a greater maximum than ƒ(x).

c)

ƒ(x) has a minimum, while g(x) has a maximum.

d)

g(x) and ƒ(x) have the same maximum.

8.

Simplify.

2x² + (4x - 6x²) + 9 - (6x + 3)

a)

-4x² - 2x + 12

b)

4x² + 2x - 6

c)

-4x² - 2x + 6

d)

-4x² + 10x + 12

9.

Simplify. (2x) (3x³y) (y³)

a)

6x⁴y³

b)

6x⁴y⁴

c)

5x⁴y⁴

d)

5x³y³

10.

If the parent function (y = x) is changed to have a slope of (2/3) and a y-intercept of 4, then which is true?

a)

The new line is steeper than the original and the y-intercept has been translated down.

b)

The new line is less steep than the original and the y-intercept has been translated up.

c)

The new line is steeper than the original and the y-intercept has been translated up.

d)

The new line is less steep than the original and the y-intercept has been translated down.

11.

How many Harry Potter movies are there?

a)

5

b)

9

c)

8

d)

7

12.

Find the area of a rectangle that has a length of (3x - 1) and (2x + 5)

a)

6x²+ 17x + 5

b)

6x² + 13x + 5

c)

6x²+ 17x - 5

d)

6x²+ 13x - 5

13.

What are the zeroes for the quadratic function
f(x) = x² + 2x - 15?

a)

x = 5 and x = -3

b)

x = -5 and x = 3

c)

x = 5 and x = 3

d)

x = -5 and x = -3

14.

What type of relationship does this graph have?

a)

Positive

b)

Negative

c)

No Relationship

d)

Constant

15.

For what value of c will the graph of k be 9 units above the graph of g?

a)

9

b)

-3

c)

3

d)

21

16.

A line is perpendicular to -2x+y = - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

17.

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

18.

What do the "Zeros" represent on a quadratic equation graph?

a)

x-intercepts

b)

y-intercepts

c)

vertex

d)

focus

19.

Which equation best represents the relationship between x and y in the table shown?

a)

y=-3x-10

b)

y=-1/3x-10

c)

y=-10x+10

d)

y=-4x-10

20.

Simplify. (x) (x⁵y) (y³)

a)

x⁵y³

b)

x⁶y⁴

c)

x⁶y³

d)

x⁵y⁴

21.

-6x + y = 2
6x + y = 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

22.

What is the factored form of the quadratic equation

x^{2\ }+x\ -6=0

a)

\left(x+1\right)\left(x+6\right)

b)

$\left(x+2\right)\left(x-3\right)$

c)

$\left(x-1\right)\left(x-5\right)$

d)

$\left(x-2\right)\left(x+3\right)$

23.

Which graph shows a line of best fit for the scatter plot?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

24.

Describe the correlation coefficient if

r = 0.90

a)

Positive, weak

b)

Positive, strong

c)

Negative, weak

d)

Negative, strong

25.

How would you describe the association?

a)

negative linear strong with outlier

b)

negative non linear weak

c)

positive linear moderate with outlier

d)

outlier

26.

What type of relationship does this graph show?

a)

Positive

b)

Negative

c)

No Relationship

d)

Constant

27.

Solve by factoring.

b² + 2b - 24 = 0 (hint: find the zeros) FACTOR!

a)

x = 6 or x = -4

b)

x = -6 or x = -4

c)

x = 6 or x = 4

d)

x = -6 or x = 4

28.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

a)

12 chapters

b)

15 chapters

c)

18 chapters

d)

21 chapters

29.

What is the factored form of the quadratic equation

x^{2\ }+5x\ +6=0

a)

$\left(x-2\right)\left(x-3\right)$

b)

$\left(x-2\right)\left(x-3\right)$

c)

$\left(x-1\right)\left(x-6\right)$

d)

$\left(x+1\right)\left(x+5\right)$

30.

Does the quadratic have a maximum or minimum vertex, and does the parabola open up or down?

a)

max/ opens down

b)

min/ opens up

c)

max/ opens up

d)

min/ opens down

31.

Describe the correlation, if the correlation coefficient is r = -0.26

a)

Positive, weak

b)

Negative, weak

c)

Positive, strong

d)

Negative, strong

32.

The graph of a quadratic function is called a

a)

Parabola

b)

Vertex

c)

Axis of Symmetry

d)

Vertex Form

33.

Solve x²− 4 = 0 (solve using square roots)

a)

2 and -2

b)

4 and -4

c)

16 and -16

d)

8 and -8

34.

Lava coming from the eruption of a volcano follows a parabolic path. The height h in feet of a piece of lava t seconds after it is ejected from the volcano is given by h(t) = -t² + 16t + 936. After about how many seconds does the lava reach its maximum height?

a)

12

b)

20

c)

8

d)

5

35.

solve using square roots

a)

±72

b)

±12

c)

12

d)

No real solution

36.

What is the factored form of the quadratic equation

x^{2\ }+3x\ -28=0

a)

$\left(x\ -4\right)\left(x+7\right)$

b)

$\left(x+4\right)\left(x-7\right)$

c)

$\left(x-2\right)\left(x-14\right)$

d)

$\left(x-2\right)\left(x+14\right)$

37.

Find the factors of 4x²-16x-9

a)

(2x-9)(2x+1)

b)

(2x+9)(2x-1)

c)

(4x-1)(x+9)

d)

(x+1)(4x-9)

38.

Based on this scatterplot, approximate what score should a student who attended class 22 days expect to receive on the exam?

a)

84

b)

71

c)

95

d)

75

39.

What is the GCF of: $4x^3y^4\ and\ 8x^2y$

a)

$4x^2y$

b)

$2x^2y^2$

c)

$4xy^3$

d)

$2x^2y$

40.

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 it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

41.

GCF of 12 and 18

a)

3

b)

4

c)

6

d)

2

42.

Simplify the exponential expression.

a)

2x⁶y¹²

b)

2x⁵y⁷

c)

8x⁶y¹²

d)

8x⁵y⁷

43.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

44.

What are the factors of 3x²-17x+10

a)

(x-5)(3x-2)

b)

(x+5)(3x+2)

c)

(3x-5)(x-2)

d)

(x+5)(3x-2)

45.

What type of function is y = 7(5/4)^x?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None of the above

46.

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 12 represent?

a)

The predicted increase in number of elephants in the refuge each year.

b)

The predicted decrease in number of elephants in the refuge each year.

c)

The number of years it will take for the elephant population to stop increasing.

d)

The initial amount of elephants in the park.

47.

In which city is the 2007 Disney film Ratatouille?

a)

London

b)

Paris

c)

New York

d)

Milan

48.

What is the common ratio(multiplier) for the sequence:

3, 15, 75...

a)

12

b)

1/5

c)

5

49.

What animal appears in Happy Feet?

a)

Bear

b)

Fish

c)

Penguin

d)

Tiger

50.

What does the y-intercept of the graph represent?

a)

The amount of grams the material is gaining.

b)

The amount of grams the material is losing.

c)

The amount of grams remaining after so many years.

d)

The initial amount of grams.

51.

Which of the following is an increasing exponential function whose y-intercept is 50?

a)

y = 50(.05)^x

b)

y = 50x - 4

c)

y = (2)^x + 50

d)

y = 50(1.4)^x

52.

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

a)

87%

b)

13%

c)

800%

d)

8.7%

53.

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)^x, where x is the number of days since the decay started. Suppose f(20) = 49. Which of the following is true?

a)

After 20 days, there are 49 ants in the colony.

b)

After 49 days there are 20 ants in the colony.

c)

The amount of ants times 20 is 49.

d)

After 20 days the amount of ants remaining decreases by 49.

54.

Simplify the expression x(3x)²

a)

3x²

b)

9x²

c)

3x² + x

d)

9x³

55.

What type of pattern do exponential functions have?

a)

Adds by the same number every time

b)

Multiplies by the same number every time

c)

Square roots all the inputs

d)

Squares all the inputs

56.

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 1.015 represent?

a)

The number of elephants was 1,015 in 1975.

b)

The number of elephants increases by 1.5% each year.

c)

The number of elephants increases by 101.5% each year.

d)

The number of elephants is multiplied by 1.015 each year.

57.

What type of pattern do linear functions have?

a)

Adds by the same number every time

b)

Multiplies by the same number every time

c)

Square roots all the inputs

d)

Squares all the inputs

58.

In an exponential function, what does the 'a' represent?

a)

Slope

b)

Rate of change

c)

Y-intercept

d)

Multiplier

59.

Fill in the blank:

Graph, Table, ___________, Verbal

a)

Ruler

b)

Expression

c)

Picture

d)

Equation

60.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

61.

$2x-\left(4-3x\right)$

a)

$-x+4$

b)

$x-4$

c)

$5x-4$

d)

$4-6x$

62.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

63.

Is the following function and example of decay or growth?

f(x)=2(0.85)^x

a)

Exponential Decay

b)

Exponential Growth

64.

What is the common ratio(multiplier) for the sequence:

28, 14, 7, 3.5...

a)

2

b)

1/2

c)

-14

d)

-7

65.

How do you write 5% as a decimal?

a)

50

b)

5

c)

0.5

d)

0.05

66.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

e)

it works for all triangle

67.

True or False?

You can use Desmos on the entire EOC.

a)

true

b)

false

68.

When you graph the exact same equation twice,

a)

you will have no solution.

b)

you will have one solution.

c)

you will have infinite solutions.

d)

you will graph a giraffe.

69.

What is the opposite or inverse of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

70.

Which of the following sentences would belong in the proof that describes this image?

a)

The sum of the areas of the two smaller squares is equal to the area of the large square.

b)

The sum of the side lengths of the two smaller squares is equal to the side length of the large square.

c)

The difference of the areas of the two smaller squares is equal to the area of the large square.

d)

The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

71.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

72.

How many solutions will this system have?

a)

None

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

73.

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables?

a)

t: # of tacos

m: # of glasses of milk

b)

t: Cost of each taco

m: Cost of each glass of milk

c)

t: total cost

m: # of food items

d)

t: Cost of each glass of milk

m: Cost of each taco

74.

Determine the number of solutions to the given linear-quadratic system.

a)

0 solutions

b)

1 solution

c)

2 solutions

d)

3 solutions

75.

Would a triangle with these side lengths be a right triangle?
4, 5, 6

a)

Yes

b)

No

76.

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?

a)

y = 6.80 + .65x
y=7.30+.90x

b)

x + y = 6.80
x + y = 7.30

c)

y = 6.80+.90x
y = 7.30 + .65x

d)

y + .90x = 6.80
y + .65x = 7.30

77.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

78.

What is the third step to solving word problems?

a)

check

b)

solve

c)

define

d)

write

e)

answer

79.

Five less than half a number

a)

$5-\frac{x}{2}$

b)

$\frac{5}{2}-x$

c)

$\frac{x}{5}-2$

d)

$\frac{x}{2}-5$

80.

True or False?

You can use Desmos on the second part of the test tomorrow.

a)

true

b)

false

EOC Review

Total questions: 80

Worksheet time: 38mins

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