Free Printable Algebra EOC Review Questions

1.

The graph of a quadratic function is shown on the grid.

Which function is best represented by this graph?

a)

$h\left(x\right)=x^2-3x-9$

b)

$h\left(x\right)=x^2+3x-9$

c)

$h\left(x\right)=x^2-6x$

d)

$h\left(x\right)=x^2+6x$

2.

Add the following polynomials:
(x³-2x²+3)+(2x³+3x²-1)

a)

3x³-2x²+3x+2

b)

3x³+x²+2

c)

3x³-5x²-2

d)

3x³-x²+1

3.

Subtract the following polynomials:
(3x²-3x+2)-(x²-2x+1)

a)

2x²+x+1

b)

2x²-5x+3

c)

2x²-x+1

d)

4x²-5x+3

4.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

5.

Solve the literal equation for the given variable.

a)

2A/h

b)

2/(h)

c)

2Ah

d)

Ah/2

6.

Find the zeros of this quadratic.

a)

b=4/5, b=3

b)

b=4, b=-3

c)

b=1/5, b=3

d)

b=4/5, b=-3

7.

a)

a

b)

b

c)

c

d)

d

8.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

9.

What type of correlation does this graph have?

a)

Negative

b)

no association

c)

positive

10.

Which sentence describes the relationship shown on this scatter plot?

a)

As the temperature decreases, the visitors increase.

b)

As the temperature increases, the number of visitors increases.

c)

As the visitors increase, the temperature decreases.

d)

No correlation

11.

As the age of the car increases, its value decreases. Which scatterplot represents this relationship?

a)

A

b)

B

c)

C

d)

D

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 vertex of this function?

a)

(0, -3)

b)

(1, -4)

c)

(-2, 5)

d)

{-1, 3}

14.

What are the

roots (x-intercepts) of the function

f(x)= (x - 2)(x + 3)?

a)

x = - 2 or x = 3

b)

x = 2 or x = -3

c)

The are no real roots

d)

x = 2 or x = 3

15.

What do we call the graph of a quadratic function?

a)

parabola

b)

linear

c)

cubic

d)

sinusoidal

16.

The graph of y = x² + 1 could be?

a)

b)

c)

d)

17.

The equation for this graph is...

a)

y = x²

b)

y = -x²- 1

c)

y = x²- 1

d)

y = -x²

18.

Find the answer using substitution: Please list your answer as a coordinate (x,y)

(a)

19.

What is the solution to the systems of equations shown in the graph?

a)

1 Solution x=-1/2

b)

1 Solution y=-1/2

c)

Many Solutions

d)

No Solution

20.

The length, L , of a rectangle is 8 ft more than 6 times the width,W . The perimeter is 156 ft. Which system of equations best expresses this relationship?

a)

L+W=156

L=6W+8

b)

LW=156

L=W+6

c)

L=W+6

156=2L+2W

d)

L=6w+8

156=2L+2W

21.

The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.

a)

5q + 2z = 1.32

1z = 0.75

b)

5q + 2z = 1.32

3q + 1z = 0.75

c)

q + z = 1.32

q + z = 0.75

d)

5q + 2z = 0.75

3q + 1z = 1.32

22.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

23.

Convert the point-slope equation y - 12 = 3(x - 9),

to Slope intercept form.

a)

y = 3x -9

b)

y = 3 x - 15

c)

3x - 12y = -27

d)

y = 3

24.

What is the equation of a line, in point-slope form that

passes through the point (3, 2) with slope of $\frac{1}{4}$ ?

a)

y + 2 = $\frac{1}{4}$ (x + 3)

b)

y + 2 = - $\frac{1}{4}$ (x + 3)

c)

y - 2 = $\frac{1}{4}$ (x - 3)

d)

y - 2 = $\frac{4}{1}$ (x - 3)

25.

Match the linear equation with its form name

a)

$\gamma=mx\ +\ b$

1.

Slope-intercept

b)

$\gamma-\gamma_1=\ m\left(\chi-\chi_1\right)$

2.

Point-slope

c)

Ax + By = C

3.

Standard

26.

(6x⁹y⁵)²

a)

6x¹⁸y¹⁰

b)

36x¹¹y⁷

c)

6x¹¹y⁷

d)

36x¹⁸y¹⁰

27.

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

a)

b)

c)

d)

28.

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)

29.

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

a)

-7

b)

1

c)

-8

d)

7

30.

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)

31.

What is the equation of the line?

a)

y = 5x - ⅔

b)

y = ⅔x - 5

c)

y = -5x + ⅔

d)

y = -⅔x + 5

32.

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

a)

(0, -4)

b)

(0, -3)

c)

(2, 0)

d)

(6, 0)

33.

Based on the graph, what is the width in feet of the porch with the greatest area?

a)

175 ft

b)

50 ft

c)

25 ft

d)

350 ft

34.

Simplify. (x) (8x⁵y) (2y⁴)

a)

16x⁵y⁴

b)

10x⁶y⁵

c)

16x⁶y⁵

d)

10x⁵y⁴

35.

Give the solution to the system

a)

(3,1)

b)

(1,3)

c)

(-1,3)

d)

(-3,1)

36.

Which equation matches the graph?

a)

y = 2x + 3

b)

y = -3

c)

y = 2x - 3

d)

y = -3x + 2

37.

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8

a)

(5, 8)

b)

(5, -8)

c)

(-5, -18)

d)

(-5, 8)

38.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

39.

Solve for x:
4 - 5x < 22 - 2x

a)

x > -6

b)

x < -6

c)

x > 6

d)

x < 6

40.

Simplify 4^-2=

a)

1/16

b)

-16

c)

1/4

d)

-42

41.

x⁶ / x²

a)

x⁴

b)

x¹²

c)

x³

d)

x⁸

42.

What is the balance of $6000 compounded annually at a rate of 4% for 10 years?

a)

$8,881.47

b)

$7,432.93

c)

$8,400

d)

$6,500

43.

The value of x that satisfies the equation $\frac{4}{3}=\frac{x+10}{15}$ is

a)

-6

b)

5

c)

10

d)

30

44.

What is the DEGREE of the polynomial 3x³ + 2x⁴ + 5x ?

a)

1

b)

2

c)

3

d)

4

45.

A polynomial with TWO terms is called a

a)

monomial

b)

binomial

c)

trinomial

d)

none of the above

46.

a)

4y⁶

b)

4y²²

c)

30y⁶

d)

30y²²

47.

2√5 + 4√5 =

a)

6√10

b)

8√10

c)

8√5

d)

6√5

48.

√3 × √15 =

a)

3√5

b)

5√3

c)

2√7

d)

√17

49.

√18 - √12

a)

√6

b)

2√3

c)

√2

d)

√5

50.

Dan borrowed $2,000 for 6 months at 12% annual simple interest rate. How much interest is that?

a)

$120

b)

$144

c)

$1,200

d)

$1,440

Algebra EOC Review Questions

Total questions: 50

Worksheet time: 3hrs 30mins

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