Free Printable Algebra EOC (all topics)

1.

The graph of f(x)= x² was transformed to create the graph of g(x) = (x - 7.5)². Which of these describes the transformation?

a)

A horizontal shift to the right 7.5 units

b)

A horizontal shift to the left 7.5 units

c)

A vertical shift down 56.25 units

d)

A vertical shift up 56.25 units

2.

The graph of a quadratic function is shown on the grid. Which equations best represents the axis of symmetry?

a)

y = 6

b)

x = 2

c)

y = 4

d)

x = 0

3.

Simplify. (x) (8x⁵y) (2y⁴)

a)

16x⁵y⁴

b)

10x⁶y⁵

c)

16x⁶y⁵

d)

10x⁵y⁴

4.

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

5.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, 20)

c)

(3, 5)

d)

(0, -2)

6.

What is the value of f(0)?

a)

-2

b)

2

c)

4

d)

0

7.

Evaluate f(x)=-2x+13 for f(10)

a)

-7

b)

1

c)

-8

d)

7

8.

Identify the slope of the equation 5x + 2y = 0.

a)

5/2

b)

-5/2

c)

2/5

d)

-2/5

9.

What does "a" control in a graph of f(x) = ax²+ bx+ c?

a)

Opens up or down

b)

Where the graph crosses at X-intercept

c)

Where the graph crosses at Y-intercept

10.

Two equations were graphed on the set of axes below. Which point is a solution to the system of equations ?

a)

(0,3)

b)

(5,0)

c)

(2,-3)

d)

(8,9)

11.

(6x⁹y⁵)²

a)

6x¹⁸y¹⁰

b)

36x¹¹y⁷

c)

6x¹¹y⁷

d)

36x¹⁸y¹⁰

12.

Which inequality best represents the domain the graph shown?

a)

-9 < x ≤ 2

b)

-9 ≤ x < 2

c)

-6 < y ≤ 3

d)

-6 ≤ y < 3

13.

Which graph best represents the solution set of y ≤ -4x?

a)

b)

c)

d)

14.

Which is a zero of the graph?

a)

(0, 0)

b)

(-1, 0)

c)

(1.5, 0)

d)

(-3, 0)

15.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

16.

Evaluate f(x)=-2x+13 for f(10)

a)

-7

b)

1

c)

-8

d)

7

17.

Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)

a)

(8,10)

b)

8, 3, 0, 4, 9

c)

(0,8)

d)

(9,0)

18.

What is the equation of the line?

a)

y = 5x - ⅔

b)

y = ⅔x - 5

c)

y = -5x + ⅔

d)

y = -⅔x + 5

19.

What is the y-intercept of the line 2x - 3y = 12?

a)

(0, -4)

b)

(0, -3)

c)

(2, 0)

d)

(6, 0)

20.

a)

y≥x−1

b)

y≤x−1

c)

y>x−1

d)

y≤x+1

21.

Evaluate g(x) = x³ + 9 when x = -2.

a)

g(-2) = 1

b)

g(-2) = 15

c)

g(-2) = 3

d)

g(-2) = 17

22.

Which expression is equivalent to √147?

a)

3√7

b)

7√3

c)

21√7

d)

49√3

23.

Rate of change also means

a)

Slope

b)

y-intercept

c)

Zerox-s

d)

Direct Variation

24.

Jason has a part-time job and saves $10 of the his hourly pay for the purchase of a new laptop that costs $648. He has $80 saved already. Which inequality represents the number of hours Jason must work to buy the laptop?

a)

$10x\ +80\ \ge648$

b)

$10x\ +80\ \le\ 648$

c)

$10\ +\ 80x\ \ge648$

d)

$10\ +80x\ \le648$

25.

What is the y-intercept?

a)

(0,7)

b)

(0, 0)

c)

(0,1)

d)

(0, 2)

26.

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

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

27.

Which of the following are written in standard linear form?

a)

$y=3x+1$

b)

$5x+6=3y$

c)

$5x+6y=9$

d)

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

28.

Solve for the values of x:
(x + 2)(x - 3) = 0

a)

{ 2, 3 }

b)

{ -2, -3 }

c)

{ 2, 3 }

d)

{ -2, 3 }

29.

What is the name of this parent function?

a)

Quadratic Function

b)

Square Root Function

c)

Exponential Function

d)

Absolute Value Function

30.

Identify the parent function of the graph.

a)

Quadratic

b)

Rational

c)

Absolute Value

d)

Cubic

31.

The graph of part of linear function is g shown on the grid. Which inequality best represents the domain of the part shown?

a)

-9 < x ≤ 2

b)

-9 ≤ x < 2

c)

-6 < g(x) ≤ 3

d)

-6 ≤ g(x) < 3

32.

If p(x) = 5(x² + 1) + 16, what is the value of p(11)?

a)

690

b)

736

c)

622

d)

626

33.

State whether the equation represents exponential growth, exponential decay,

or neither.

f (x) = 5 • 0.3^x

a)

Exponential growth since b > 1

b)

neither

c)

Exponential Decay since 0< b<1.

34.

A college student needs 11 classes that are worth a total of 40 credits in order to complete her degree. The college offers both 4-credit classes and 3-credit classes. Which system of equations can be used to determine f, the number of 4-credit classes the student can take to complete her degree, and h, the number of 3-credit classes?

a)

f + h = 40
4h + 3f = 11

b)

f + h = 11
4h + 3f = 40

c)

f + h = 40
4f + 3h = 11

d)

f + h = 11
4f + 3h = 40

35.

Write an inequality for Graph 4.

a)

-2 < x < 5

b)

x < -2 or x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

36.

Factor: x² - 2x - 24

a)

(x + 6)(x - 4)

b)

(x + 4)(x - 6)

c)

(x - 4)(x - 6))

d)

(x - 3)(x + 8)

37.

Is this a function?

a)

Yes

b)

No

38.

Is this a function?

a)

Yes

b)

No

39.

What are the zeros of (2x+5)(x-6)=?

a)

{-6, 5/2}

b)

{-5/2, 6}

c)

{2, 6}

d)

{-6,5}

40.

ax + c = R
(solve for x)

a)

ax = R + c

b)

ax = R - c

c)

x = a(R-c)

d)

x = (R-c) / a

41.

What is the domain?

a)

[-2, 3]

b)

[-2, 3)

c)

(-2, 3]

d)

[-3, 4]

e)

(-3, 4]

42.

What is the range?

a)

$\left(-\infty,\ -3\right]$

b)

$\left[3,\ -\infty\right)$

c)

$\left(-\infty,3\right]$

d)

None of the answer choices

e)

$\left[-3,\ \infty\right)$

43.

Given the graph of f(x), if f(x) = 4, what is the value of x?

a)

2

b)

-4

c)

0

d)

4

44.

$y=2^x-3$ Identify the function family.

a)

Linear

b)

Exponential

c)

Quadratic

d)

Constant

45.

Which function is linear?

a)

$y=3x+1$

b)

$y=2x^2+7x+1$

c)

$y=4^x$

d)

$y=2x^{3^{ }}+9$

46.

Which functions are linear? (Check all that apply)

a)

$y=5x+1$

b)

$y=3^x-5$

c)

$y=2x-1$

d)

$y=3x^2+8x$

47.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

zeros/x-intercepts/roots

48.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

49.

What is the next step to find the vertex?

a)

Substitute x into -b/2a

b)

Substitute x into the original equation

c)

Write it as a point (x,y)

d)

Find a, b, and c

50.

Where is the axis of symmetry for this parabola?

a)

x = −1

b)

x = 0

c)

y = 3

d)

x = −3

51.

What is a, b, and c in 3x² - 5x + 4 = 0

a)

a = 3, b = -5, c = 4

b)

a = 3, b = 5, c = 4

c)

a = 3, b = 5, c = -4

d)

a = 3, b = -5, c = -4

52.

Which of the following equations matches standard form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

53.

Which of the following equations matches vertex form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

54.

Which letter determines if a parabola opens up or down?

a)

a

b)

h

c)

k

55.

Quadratic equations take the shape of a _______ when graphed.

a)

parabola

b)

straight line

c)

snaked line

d)

elliptical

56.

Given the equation y = 3(x + 5)² - 4,

what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

57.

What is the vertex of this quadratic? y = -2(x-5)²+ 1

a)

(-5, 1)

b)

(5, -1)

c)

(5, 1)

d)

(-5, -1)

58.

What is the domain and the range for the graph?

a)

Domain: All real #s

Range : y ≤ 4

b)

Domain: All real #s

Range : y ≤ 0

c)

Domain: All real #s Range : y > 4

d)

Domain: All real #s Range : y < 4

59.

Which is parabola opens downward?

a)

y = x² - 5x - 4

b)

y = (x - 3)² - 8

c)

y = -3x + 2

d)

y = -x² + 2x - 7

Algebra EOC (all topics)

Total questions: 59

Worksheet time: 2hrs 25mins

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