Free Printable EOY Cumulative Math Recovery Assignment

1.

Solve for x.

x + 17 = 4

a)

21

b)

-13

c)

68

d)

$\frac{4}{17}$

2.

Solve for b.

9b=18

a)

9

b)

2

c)

27

d)

-11

3.

Solve for n.

-6n + 6 = 60

a)

-20

b)

18

c)

-9

d)

-16

4.

Solve for r.

-6r-9=111

a)

-6

b)

-17

c)

11

d)

-20

5.

Solve the proportion for x.

\frac{10}{5}=\frac{x}{2}

a)

4

b)

7.494

c)

2

d)

2.3

6.

Which of the following values should you evaluate in order to determine the y-intercept of a rational function?

a)

f(0)

b)

f(1)

c)

f(x)

d)

f(-1)

7.

How do you identify the x-intercepts of a rational function?

a)

Determine the zeros of the denominator

b)

Determine the zeros of the numerator

c)

Compare the degree of the numerator to the degree of the denominator

d)

Evaluate f(0).

8.

A hole in a function's graph is also known as what type of discontinuity?

a)

Infinite discontinuity

b)

Jump discontinuity

c)

Removable discontinuity

d)

Disjoint discontinuity

9.

True or False: The graph of a rational function may cross through/over a horizontal asymptote.

a)

True

b)

False

10.

Find the roots of this equation:

(Hint: finding the x-intercepts will also give you the roots)

a)

-4, 2

b)

-2, 4

c)

-16

d)

-4

11.

The vertex of parabola y = - 2x² - 4x + 1 is

a)

(1, 3)

b)

(- 1, 3)

c)

(- 1, -5)

d)

(- 1, 5)

12.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

13.

What is the degree of the polynomial shown in the image?

a)

4

b)

5

c)

7

d)

6

14.

What is the y-intercept for the polynomial given:

y = 3x² + 9x⁵ − 4 + 10x⁸ + 2x⁹ ?

a)

2

b)

-4

c)

9

d)

3

15.

What is the factored form of: x² - 9x + 20

a)

(x-5)(x-4)

b)

(x+5)(x-4)

c)

(x-4)(x+5)

d)

(x+4)(x+5)

16.

Which function is described by the graph shown?

(assume no stretches or compressions)

a)

$y=-\left(x-1\right)^3-2$

b)

$y=\left(x-1\right)^3-2$

c)

$y=-\left(-\left(x-1\right)\right)^3-2$

d)

$y=-\left(x+1\right)^3-2$

17.

Which function is described by the graph shown?

(assume no stretches or compressions)

a)

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

b)

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

c)

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

d)

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

18.

Does the equation open or or down?
Y = -3x² +7x - 2

a)

up

b)

down

19.

Where is the AoS (Axis of Symmetry) for
y = 2x²+4x+2

a)

x = 2

b)

x = 1

c)

x = -1

d)

x = 4

20.

What is the y-intercept of the equation
y = 2x²+8x+3

a)

(0,3)

b)

(3,0)

c)

(0,2)

d)

y=8

21.

Solve for x:
$\frac{4}{x}=\frac{10}{22}$

a)

x = 0.55

b)

x = 8.8

c)

x = 22

d)

x = 88

22.

Factor x² + x - 20

a)

(x + 10)(x - 2)

b)

(x - 10)(x + 2)

c)

(x + 5)(x - 4)

d)

(x - 5)(x + 4)

23.

Solve: 2x = 25

a)

x = 5

b)

x = 50

c)

x = ±5

d)

x = 12.5

24.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

25.

What is the correct ratio?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

26.

x + y = 50

a)

expression

b)

equation

27.

x + y

a)

expression

b)

equation

28.

How many terms in the following expression:
5x + 3y - 15 + x

a)

1

b)

2

c)

3

d)

4

29.

a symbol for an unknown value

a)

term

b)

operator

c)

variable

d)

coefficient

30.

A number on its own

a)

term

b)

constant

c)

coefficient

d)

variable

31.

Equations must have an

a)

≠

b)

=

c)

≤

d)

≥

32.

Which is an equation?

a)

4x = 9

b)

4x - 9

c)

4x

d)

- 9

33.

Which is an example of a variable in the following equation?
9g + 3 = 60

a)

9

b)

g

c)

3

d)

60

34.

Which of the following is an equation?

a)

6x + 2x - 6

b)

6x² + 10 = 25

c)

6x² + 10 - 25

d)

10y - 6 + 34u

35.

A logical argument that shows a statement is true is called a ______________________

a)

Proof

b)

Negation

c)

Inductive Reasoning

d)

Deductive Reasoning

36.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

37.

Find the slope of the line that passes through:
(-3, -4) and (7, 6)

a)

0

b)

Undefined

c)

-1

d)

1

38.

In a polynomial function, the exponent with the greatest value is known as the _____________ of the function

a)

end-behavior

b)

degree

c)

remainder

d)

factor

39.

A polynomial function with a degree of 3 is known as what type of function?

a)

Linear

b)

Quadratic

c)

Cubic

d)

Quartic

40.

A hole in a function's graph is also known as what type of discontinuity?

a)

Infinite discontinuity

b)

Jump discontinuity

c)

Removable discontinuity

d)

Disjoint discontinuity

41.

What is the range of the graph?

a)

from x = 1 to x = 4

b)

from x = 2 to x = 6

c)

from y = 1 to y = 4

d)

from y = 2 to y = 6

42.

What is the domain of the graph?

a)

from x = 1 to x = 4

b)

from x = 2 to x = 6

c)

from y = 1 to y = 4

d)

from y = 2 to y = 6

43.

When is the maximum height reached?

a)

200

b)

50

c)

3

d)

0

44.

Which choice models this situation?

Maddi participated in a read-a-thon. Mrs. Dunnmeyer pledged $4 for each book read. When it ended, she gave Maddi a total of $44. How many books did Maddi read?

a)

b - 4 = 44

b)

b + 4 = 33

c)

4b = 44

d)

b/4 = 44

45.

Which choice models this situation?

Hadlee needed new pencils for school today. She took 6 pencils from a new box of pencils. If there are 18 pencils left in the box, how many pencils were in the brand new box?

a)

p - 6 = 18

b)

p + 6 = 18

c)

6p = 18

d)

p/6 = 18

46.

Which choice models this situation? William needs to sell 25 Husky Cards for a fundraiser by Friday. So far, he has sold 9 cards. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

47.

-6x = 30

a)

x = - 5

b)

x = 24

c)

x = 5

d)

x = 36

48.

$\frac{t}{-8}=\ -5$

a)

t = 3

b)

t = -40

c)

t = -3

d)

t = 40

49.

6 x 8

a)

84

b)

64

c)

48

d)

36

50.

Round this number to the hundreds place: 3,458

a)

3,458

b)

3,500

c)

3,400

d)

500

EOY Cumulative Math Recovery Assignment

Total questions: 50

Worksheet time: 3hrs 40mins

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