Free Printable Algebra SOL

1.

Range represents all -

a)

x-values

b)

y-values

c)

ordered pairs

d)

origin values

2.

How many solutions?

a)

One

b)

Two

c)

No

d)

Infinitely Many

3.

How many solutions?

a)

0

b)

1

c)

2

d)

Infinite

4.

Which is an example of zero slope?

a)

A

b)

B

c)

C

d)

D

5.

A vertical line can be written as __.

a)

x = #

b)

y = #

c)

y = mx + b

d)

y = ax² + bx + c

6.

Given the following range, which list(s) represents a function?

a)

(-3, 0) , (1, 4) , (4, 7)

b)

(0, 1) , (-4, -3) , (3, 4)

c)

(-3, 1) , (2, 4) , (-3, 4)

d)

(0, 1) , (5, 4) , (-3, 2)

e)

(8, 4) , (-6, -3) , (2, 1)

7.

Which values are solutions to the inequality?

a)

All values greater than -5

b)

All values less than -5

c)

All real numbers

d)

All values less than or equal to -5

8.

When solving inequalities, flip the sign when ___.

a)

Adding a negative number on both sides

b)

Multiplying a negative number on both sides

c)

Subtracting a negative number on both sides

d)

Dividing a negative number on both sides

9.

When handling quadratic equations, all of the following mean "x-intercept" EXCEPT -

a)

zero

b)

factor

c)

solution

d)

root

10.

When simplifying cube roots, group numbers by __.

a)

One

b)

Two

c)

Three

11.

The factors are ____.

a)

(x+7)(x-1)

b)

(x-7)(x+1)

c)

(x+7)(x-7)

d)

(x+7)(x+1)

12.

What is the slope of a horizontal line? _______________

4 lines

13.

What is the slope of a vertical line? ______________

4 lines

14.

Which of the following lines are perpendicular?

a)

slope = 1

slope = -1/2

b)

slope = 1/2

slope = - 1/2

c)

slope = 1/2

slope = -2

d)

slope = -1/2

slope = -2

15.

Which of the following shows two lines that are parallel

a)

b)

c)

16.

Which of the following shows two lines that are perpendicular?

a)

b)

c)

17.

Parallel lines have the same ___________.

a)

Slope

b)

Y - intercept

c)

X - intercept

d)

Zero

18.

What type of function is this?

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of these

19.

What is the domain of this function?

a)

All real numbers greater than or equal to 2

b)

All integers

greater than or equal to 2

c)

All real numbers

d)

All integers

20.

What type of function is this?

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of these

21.

What is the domain of this function?

a)

x > 4

b)

All real numbers

c)

x > 2

d)

$x\ge2$

22.

What is the range of this function?

a)

$y\le4$

b)

All real numbers

c)

$y\ge4$

d)

$y\ge2$

23.

What type of function is this?

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of these

24.

What is the domain of this function

a)

All real numbers greater than 0

b)

All real numbers less than 0

c)

All real numbers

d)

All real numbers greater than or equal to zero

25.

What is the range of this function ?

a)

All real numbers greater than 0

b)

All real numbers less than 0

c)

All real numbers

d)

All real numbers greater than or equal to zero

26.

the set of all y-values

a)

roots

b)

zeros

c)

range

d)

domain

27.

Which of the following lines pass through (-3, 4)

a)

y = 2x - 1

b)

y = -2x - 2

c)

2x + y = 0

d)

2x - 3y = 6

28.

Which function has exactly one zero ?

a)

$y=x^2-6x+9$

b)

$y=-x^2+4$

c)

$y=x^2-x+2$

d)

$y=x^2-3x+6$

29.

What is the solution?

a)

(0, 3)

b)

(-2, 0)

c)

(-1, -1)

d)

(0, -2)

30.

roots means find the ...

a)

range

b)

vertex

c)

domain

d)

x-intercepts

31.

zeros means find the ...

a)

y-intercept

b)

x-intercept

c)

vertex

d)

domain

32.

The green dot represents the ...

a)

slope

b)

y-intercept

c)

x-intercept

d)

domain

33.

The green dot represents the ...

a)

slope

b)

x-intercept

c)

domain

d)

y-intercept

34.

The blue dot represents the ...

a)

x-intercept

b)

y-intercept

c)

vertex

d)

root

35.

Compared with the parent function (blue), $y=\frac{1}{4}x^2$ (red) is

a)

vertically compressed by a scale factor of 1/4

b)

vertically compressed by a scale factor of 4

c)

vertically stretched by a scale factor of 1/4

d)

vertically stretched by a scale factor of 4

36.

Compared with the parent function (blue), $y=4x^2$ (green) is

a)

vertically compressed by a scale factor of 1/4

b)

vertically compressed by a scale factor of 4

c)

vertically stretched by a scale factor of 1/4

d)

vertically stretched by a scale factor of 4

37.

a mathematical function of the following form: ƒ(x) = ab^x

a)

Linear function

b)

Exponential function

c)

Quadratic function

d)

Polynomial function

38.

The equation y=mx+b, m represents

a)

Slope

b)

y - intercept

c)

x - intercept

d)

zero

39.

The equation y=mx+b, b represents

a)

Slope

b)

y - intercept

c)

x - intercept

d)

zero

40.

Find slope

a)

-2

b)

-1/2

c)

2

d)

1/2

41.

Find y - intercept

a)

-2

b)

-4

c)

2

d)

0

42.

What is the slope of the line whose equation is y = -3x+6

a)

-½

b)

2

c)

-3

d)

6

43.

John has $50 in his bank account and saves $20 per week. Write an equation for this situation

a)

y=50 - 20x

b)

y = 20x + 50

c)

y = 20x - 50

d)

y = 50x + 20

44.

Mary has $80 in her lunch account and spends $5 each day to buy lunch. Write an equation for this situation.

a)

y = 80 - 5x

b)

y = 80x - 5

c)

y = 5x - 80

d)

y = 5x + 80

45.

A solution of a quadratic equations is ...

a)

The Y Int

b)

The X Int

c)

The domain

d)

The Range

46.

A quadratic function is shown in the picture. In the equation $f\left(x\right)=ax^2$ a is:

a)

Positive

b)

Negative

c)

equal to zero

47.

Which table shows a linear function?

a)

Table A

b)

Table B

c)

Table C

48.

Which table shows a quadratic function?

a)

Table A

b)

Table B

c)

Table C

49.

Which table shows an exponential function?

a)

Table A

b)

Table B

c)

Table C

50.

The solution of a system of linear equations is...

a)

the x intercept

b)

the y intercept

c)

where the lines intersect

d)

the shaded area

51.

$2\left(x-1\right)\ =\ 2x-2$ has ___.

a)

one solution

b)

no solution

c)

infinitely many solutions

d)

two solutions

52.

In order to type $\sqrt[3]{}\$ in desmos, you should: (select all that apply)

a)

Type the exponent, then $\sqrt[]{}$ sign

b)

Type cbrt in desmos

c)

Click functions, scroll to the bottom

d)

type 3, then $\sqrt[]{}$ sign

53.

a)

Sum

b)

Difference

c)

Quotient

d)

Product

54.

a)

Sum

b)

Difference

c)

Product

d)

Quotient

55.

a)

Sum

b)

Difference

c)

Quotient

d)

Product

56.

at least $30

a)

x < 30

b)

x > 30

c)

x ≤ 30

d)

x ≥ 30

57.

no more than 8

a)

x ≤ 8

b)

x ≥ 8

c)

x < 8

d)

x > 8

58.

What form is y - y₁ = m(x - x₁) ?

a)

point slope form

b)

slope intercept form

c)

vertex form

d)

standard form

59.

The solution to the system of inequalities lies in

a)

the blue region

b)

the pink region

c)

the white region

d)

the purple region

60.

Which point is the solution to the system of inequalities

a)

(0, 0)

b)

(0, -2)

c)

(-5, -1)

d)

(2,8)

61.

What does "find f(3)" mean?

a)

The value of y is 3 and you need to find x

b)

The value of x and y are both 3

c)

The value of x is 3 and you need to find y

d)

f times 3

62.

Is the following a function?

a)

yes

b)

no

63.

f(4) =

a)

4

b)

0

c)

6

d)

8

64.

What does #1 and #3 represent on the graph

a)

solutions, roots, x-intercept, zeros

b)

y-intercept

c)

axis of symmetry

d)

vertex

65.

a)

Six less than product of 2 and the square of a number,x.

b)

The product of 2 and the square of a number,x less than 6.

c)

The product of 2 times a number and 6.

d)

The difference of 2 and a number less than 6.

66.

Which phrase verbally translates this algebraic expression

a)

Five less than one fourth times the cube root of x

b)

One fourth of the cube root of x less than five

c)

Five subtract one fourth times the cube root of x

d)

Five less than one fourth times the cube of x

67.

Slope can be found by...

a)

Finding out where the line crosses the y-axis.

b)

Solving a linear equation.

c)

Finding the rise over the run.

d)

Finding run over rise.

68.

Find the solution(s):

$6x^2+x-1=0$

a)

{3, 2}

b)

$\left\{\frac{1}{3},-\frac{1}{2}\right\}$

c)

$\left\{-\frac{1}{3},\frac{1}{2}\right\}$

d)

$\left\{\frac{2}{3},-2\right\}$

69.

The parent function f(x) = x, g(x) = 2x -3

a)

g(x) is three times stepper, shifted up 2 units

b)

g(x) is two times steeper, shifted up 3 units

c)

g(x) three times steeper, shifted down 2 units

d)

g(x) is two times steeper, shifted down 3 units

70.

Which of the following resources can you NOT use on the SOL

a)

Your brain

b)

Formula sheet

c)

Google

d)

Desmos

71.

When you are stuck on a question, what should you do? (select all correct answers)

a)

Guess

b)

Phone a friend

c)

Mark for review and come back to it later

d)

See what happens if you put it in the calculator

72.

If you want to make a table from ordered pairs, which button should you use?

a)

b)

73.

If you want to make a table given an equation, which button should you use?

a)

b)

74.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

75.

Does this mapping diagram represent a function?

a)

No, because an input value goes to multiple output values

b)

Yes, because each input goes to one and only one output

76.

Is this a function? Explain.

a)

Yes; it passes the horizontal line test.

b)

No; it is not a straight line.

c)

Yes; it passes the vertical line test.

d)

No; there is a line connecting the dots.

77.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

78.

I'm ready for the Algebra 1 SOL

a)

Absolutely!

b)

Maybe

c)

Not sure

Algebra SOL

Total questions: 78

Worksheet time: 1hrs 26mins

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