Free Printable SOL Review

1.

If y=7,find the value of 2(y+4)

a)

11

b)

22

c)

20

2.

Work out the value of the expression when x = 3, y = – 2 and z = – 4.
2x² + z²

a)

2

b)

27

c)

50

d)

34

3.

Three times a number increased by nine

a)

3h-9

b)

3(h-9)

c)

3(h+9)

d)

3h+9

4.

7 less than the product of a number and 3

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

5.

$x^5\left(x^2\right)$

a)

$x^7$

b)

$x^{14}$

c)

$x^3$

d)

$x^{-3}$

6.

$b^{-4}\cdot b^4$

a)

$b^{-8}$

b)

$b^{-16}$

c)

1

d)

$b^8$

7.

$7x^3y^2\cdot5xy^9$

a)

$12x^4y^{11}$

b)

$35x^4y^{11}$

c)

$35x^3y^{11}$

d)

$12x^3y^{11}$

8.

$\frac{c^4}{c^8}$

a)

$c^{12}$

b)

$c^{-4}$

c)

$\frac{1}{c^4}$

d)

$\frac{1}{c^{12}}$

9.

$\frac{5x^{-4}}{x^{-9}}$

a)

$5x^5$

b)

$5x^{-13}$

c)

$\frac{5}{x^5}$

d)

$\frac{1}{5x^5}$

10.

$\frac{4a^2b^0}{4ba^{-1}}$

a)

$\frac{b^3}{2a^5}$

b)

$a^7b^4$

c)

$\frac{1}{4b^4}$

d)

$\frac{a^3}{b}$

11.

$\left(\frac{m^3n^{-4}}{2m^{-2}n^2}\right)^{^0}$

a)

$\frac{m}{2n^6}$

b)

$2m^5n^6$

c)

$\frac{1}{2m^5n^6}$

d)

$1$

12.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

13.

Simplify:
$\left(4+2n^3\right)+\left(5n^3+2\right)$

a)

9n³ + 4n

b)

7n³+ 6

c)

-3n³+ 2

d)

7n⁶ + 6

14.

What is the degree of the polynomial? 5x⁵ - 6x⁶ + 2

a)

1

b)

5

c)

6

d)

11

15.

What is the correct name of the following:
3x + 5y² - 3

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

16.

Simplify

(3- 2x + 2x²) - (4x -5 +3x²)

a)

x² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

17.

Simplify

(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

a)

4b⁴ - 2b³ + 7

b)

5b⁴ - 2b³ + 4

c)

b⁴ - 2b³ + 7

d)

5b⁴ - 2b³ + 7

18.

2(2x + 1) + 8x - 3

a)

12x -1

b)

12x - 5

c)

12x + 1

d)

12x + 6

19.

Classify the polynomial and give the degree:

5x³y²

a)

Monomial

b)

Trinomial

c)

Binomial

d)

Fifth Degree

e)

Third Degree

20.

$\left(3n-3\right)\left(3n+3\right)$

a)

$9n^2+18n+9$

b)

$9x^2-18n+9$

c)

$9n^2-9$

d)

$36n^2-1$

21.

$\left(8x+3\right)^2$

a)

$64x^2+48x+9$

b)

$64x^2-9$

c)

$64x^2+9$

d)

$x^2-16x+64$

22.

$\frac{-4a^{7\ }-\ 6a^5}{2a^3}$

a)

$2a^{4\ }+3a^2$

b)

$4a^{4\ }-\ 4a^2$

c)

$-2a^{7\ }-\ 3a^5$

d)

$-2a^{4\ }-3a^2$

23.

$k^2+9k+20$

a)

(k+4)(k+5)

b)

(k-3)(k+4)

c)

(k-7)(k+1)

d)

(k-3)(k-5)

24.

$m^2-7m$

a)

(m-7)(m)

b)

(m-7)(m+1)

c)

(m-2)(m)

d)

(m+7)(m)

25.

$2n^2-7n+6$

a)

(2n-3)(n-2)

b)

(5n-8)(n-2)

c)

(2n-3)(n+8)

d)

(7n+1)(n+2)

26.

Find the factors of 5x²+20x+20

a)

5(x+2)(x+2)

b)

5(x-2)(x-2)

c)

5(x+2)(x-2)

d)

(5x+2)(x+2)

27.

Simplify $\sqrt{48}$

a)

$16\sqrt{3}$

b)

2 $\sqrt{16}$

c)

3 $\sqrt{4}$

d)

$4\sqrt{3}$

28.

Simplify: $\sqrt{9x^3y^6z^7}$

a)

$3xy^3z^3\sqrt{xz}$

b)

$xy^3z^3\sqrt{xz}$

c)

$9x^3y^6z^7$

d)

$3xy^3z^3$

29.

Simplify $∛\overline{56}$

a)

$4∛\overline{7}$

b)

$2∛\overline{7}$

c)

$4\sqrt{7}$

d)

$2\sqrt{7}$

30.

Simplify the following radical: $2\sqrt{24}$

a)

$4\sqrt{6}$

b)

$2\sqrt{6}$

c)

$24\sqrt{2}$

d)

$4\sqrt{4}$

31.

Simplify $4\sqrt{75}$

a)

$4\sqrt{5}$

b)

$12\sqrt{5}$

c)

$20\sqrt{3}$

d)

$5\sqrt{3}$

32.

$\left(-2\sqrt{7}\right)\left(3\sqrt{28}\right)$

a)

$-6\sqrt{14}$

b)

$6\sqrt{13}$

c)

-84

d)

-78

33.

$\sqrt{5}\left(\sqrt{10}\right)$

a)

50

b)

$2\sqrt{5}$

c)

$5\sqrt{2}$

d)

$5\sqrt{10}$

34.

$\sqrt{6}\cdot\sqrt{6}$

a)

$\sqrt{36}$

b)

$2\sqrt{3}$

c)

12

d)

6

35.

$3=1-a+a$

a)

4

b)

Infinite Solutions

c)

-12

d)

No Solution

36.

$5a-5a=0$

a)

0

b)

Infinite Solutions

c)

No solution

d)

10

37.

$85=\frac{10}{3}\left(-\frac{7}{2}a-\frac{5}{2}\right)$

a)

$-1\ \frac{11}{14}$

b)

$-2\ \frac{4}{7}$

c)

$12\ \frac{3}{4}$

d)

-8

38.

$-8\left(-2b+1\right)+8b=-104$

a)

-4

b)

Infinite Solutions

c)

-11

d)

-12

39.

$-209=1-5\left(2+5v\right)$

a)

13

b)

-12

c)

16

d)

8

40.

$-13.1=5.6x+7.5x$

a)

-13.7

b)

Infinite Solutions

c)

-1.9

d)

-1

41.

Which set shows all of the zero(s) for the function shown in the graph?

a)

{-3}

b)

{0}

c)

{-3, 3}

d)

{3}

42.

Which of the following is a zero of the function f(x) = 4x -12?

a)

3

b)

4

c)

0

d)

-12

43.

What is the zero of the linear function: $f\left(x\right)\ =\ \frac{3}{2}x-6$ ?

a)

0

b)

-6

c)

4

d)

2

44.

Given the following graph, what are the zeros?

a)

{-4, -2}

b)

{2, -4}

c)

{-4.25}

d)

{-2, 4}

45.

Parallel Lines ...

a)

have the same slopes.

b)

have opposite-inverse slopes.

c)

have infinite solutions.

46.

Perpendicular lines...

a)

have the same slope.

b)

have opposite-inverse slopes.

c)

have infinite solutions.

d)

have no solution.

47.

Determine how many solutions the system has.

a)

One Solution

b)

No Solutions

c)

Infinitely Many Solutions

d)

MATH $^{TM}$

48.

Determine how many solutions the system has.

(Hint: Both lines are graphed over each other)

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

2 solutions

49.

Determine how many solutions this system has.

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

$H_2O$

50.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

51.

Solve the system of equations
4x+8y=20
-4x+2y=-30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

52.

Where do these lines intersect?
x-y=11
2x+y=19

a)

(10,-1)

b)

(-1,10)

c)

(3,-4)

d)

(6,7)

53.

Solve the system using elimination.
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

54.

Solve the system of equations:

-6x-20y=-4

-5x+10y=-30

a)

(4, -1)

b)

(4, 6)

c)

(4, 2)

d)

(-1, 4)

55.

-13t > 26

a)

t > -2

b)

t > 2

c)

t < 2

d)

t < -2

56.

Solve:
6x+10>5x-12

a)

x>2

b)

x<2

c)

x<-22

d)

x>-22

57.

$3\left(x-2\right)<2\left(x+9\right)$

a)

x < 24

b)

x > -24

c)

x < 12

d)

x > 18

58.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, 20)

c)

(3, 5)

d)

(0, -2)

59.

Are the points on the line part of the solution set or not?

a)

Yes, they are part of the solution set

b)

No, they are NOT part of the solution set

60.

Which of the following equations match the given graph?

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

61.

Which of the following equations match the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

62.

Which graph shows: y > -2x - 3

a)

b)

c)

d)

63.

Which graph shows: y ≥ 1/3x + 2

a)

b)

c)

d)

64.

Write the inequalities

a)

y≥-2x+3
y≤x-3

b)

y>2x+3
y≥x-3

c)

y>-2x+3
y≥x-3

d)

y<-2x+3
y≤x-3

65.

Which system of inequalities matches the graph?

a)

y > 2x - 4
y < 2

b)

y < 2x - 4
y < 2

c)

y > 2x - 4
y < 2

d)

y < 2x - 4
y < -2

66.

Find the slope.

a)

$\frac{5}{2}$

b)

$\frac{2}{5}$

c)

$-\frac{5}{2}$

d)

$-\frac{2}{5}$

67.

Write the equation of the given line in slope-intercept form.

a)

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

b)

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

c)

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

d)

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

68.

Write the equation of a line in slope-intercept form using the given information:

slope=\frac{3}{5},\ y-intercept=-2

a)

$y=\frac{3}{5}x-2$

b)

$y=-2x+\frac{3}{5}$

c)

$y=\frac{3}{5}x+2$

d)

$y=-2x-\frac{3}{5}$

69.

Write in slope-intercept form using the following information:

point (4, 4); slope = 2

a)

$y=4x+2$

b)

$y=2x-4$

c)

$y=5x-4$

d)

$y=-4x+2$

70.

Write in slope-intercept form using the following information:

points: (0, -3) and (4, 1)

a)

$y=-5x+1$

b)

$y=x-3$

c)

$y=-2x+1$

d)

$y=-3x+1$

71.

Write in slope-intercept form using the following information:

points: (2, -5) and (1, 5)

a)

$y=2x+15$

b)

$y=-5x+15$

c)

$y=5x+15$

d)

$y=-10x+15$

72.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

73.

Is this set of ordered pairs a function or not a function?

a)

Function

b)

Not a Function

74.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

75.

a)

Function

b)

Not a Function

76.

a)

Function

b)

Not a Function

77.

Is this set of ordered pairs a function?

(–7, 4), (–8, 3), (–7, 7), (–20, 8), (5, 9), (3, 1), (2, 6)

a)

Yes

b)

No

78.

Which graph represents a function of x?

a)

b)

c)

d)

79.

What is the range of the function?

a)

{-3, -1, 0, 1, 3}

b)

{ -3, -2, 1, 2, 3}

c)

{-3, -2, 0, 1, 2}

d)

{-2, -1, 1, 3}

80.

What is the range of the function $f\left(x\right)=x^2-2x\ +1$ if the domain is {-1, 2, 4}

a)

{1, 4, 9}

b)

{0, 1, 9}

c)

{1, 2, 9}

d)

{-2, 1, 9}

81.

a)

Function

b)

Not a Function

82.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

83.

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

a)

Direct

b)

Inverse

c)

Neither

84.

$8x-2y=2$

a)

Direct

b)

Inverse

c)

Neither

85.

a)

Direct

b)

Inverse

c)

Neither

86.

a)

Direct

b)

Inverse

c)

Neither

87.

a)

Direct

b)

Inverse

c)

Neither

88.

a)

Direct

b)

Inverse

c)

Neither

89.

a)

Direct

b)

Inverse

c)

Neither

90.

If the point (2, -10) lies on the graph of an inverse variation, which equation represents the inverse variation equation of the graph?

a)

$y=-20x$

b)

$y=-5x$

c)

$y=-\frac{20}{x}$

d)

$y=-\frac{5}{x}$

91.

Which two ordered pairs would form a direct variation? Select TWO!

a)

(2, 8)

b)

(20, 5)

c)

(12, 3)

d)

(10, 10)

e)

(2, 18)

92.

In which table does y NOT vary directly as x?

a)

b)

c)

d)

93.

The time required to complete a job varies inversely as the number of people working. It took 4 hours for 7 electricians to wire a building. How long would it have taken 3 electricians to have done the job?

a)

1 hour 43 minutes

b)

5 hours 15 minutes

c)

7 hours 30 minutes

d)

9 hours 20 minutes

SOL Review - Algebra

Total questions: 93

Worksheet time: 6hrs 33mins

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