Free Printable Algebra 1 SOL Review: LHS

1.

Which relation is a function?

a)

A

b)

B

c)

C

d)

D

2.

Which phrase verbally translates this algebraic expression

a)

One fourth times the cube root of x less five

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

3.

Simplify.
(3x² - 2x) - (-2x² + 3x)

a)

x² + x

b)

5x² + x

c)

5x² - 5x

d)

x² - 5x

4.

What is the range of the graph?

a)

All real numbers

b)

y≤0

c)

y ≥ 0

d)

x ≥ 0

5.

What is the solution of this system of equations?

x + 2y = 23

4x - y = -7

a)

(1, 11)

b)

(-11, 1)

c)

(-1, -11)

d)

(11, 1)

6.

What is the solution to the following inequality?

-4x + 10 < 6x - 10

a)

x > 2

b)

x < 2

c)

x > 10

d)

x < 10

7.

Which is a solution to this system of equations?

y = 2x

y = 9x - 7

a)

(4, 8)

b)

(1, 2)

c)

(3, 20)

d)

(2, 1)

8.

The graph of y = x² - 2x - 8 is shown.
What are the solutions to x² - 2x - 8 = 0?

a)

x = 1 and x = -9

b)

x = 0 and x = -8

c)

x = -2 and x = 4

d)

x = -4 and x = 2

9.

What value of p will make this equation true?

a)

-10

b)

-6

c)

2

d)

10

10.

What is the slope of the line represented by this equation?
3x + 5y = -7

a)

3/5

b)

-3/5

c)

7

d)

-7

11.

What is the range of this relation?

a)

{x| -3 ≤ x ≤ 3}

b)

{-3, 2, 0, 3}

c)

{y| -4 ≤ y ≤ 4}

d)

{-4, 0, 2, 4}

12.

What is f(-8) for the function f?

a)

-56

b)

-88

c)

-176

d)

-352

13.

Which graph appears to show a relation that is NOT a function?

a)

A

b)

B

c)

C

d)

D

14.

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.

15.

Factor: 3x² + 8x - 16

a)

(x + 2)(3x - 4)

b)

(3x - 4)(x + 4)

c)

(3x + 2)(x + 4)

d)

(3x + 4)(x - 4)

16.

What is the slope a horizontal line?

a)

-1

b)

undefined

c)

1

d)

0

17.

Give the solution to the system

a)

(3,1)

b)

(1,3)

c)

(-1,3)

d)

a hoppy hippo

18.

Look at function g.
g(x) = 9x² - 16
Which set contains only the zeros of function g?

a)

{-4/3, 4/3}

b)

{-4/3, 0, 4/3}

c)

{-16, 9}

d)

{-16, 0, 9}

19.

Which equation represents this graph?

a)

y≥x−1

b)

y≤x−1

c)

y>x−1

d)

y≤x+1

20.

Simplify the exponential expression.

a)

2x⁶y¹²

b)

2x⁵y⁷

c)

8x⁶y¹²

d)

8x⁵y⁷

21.

Find the product.
(m-8)(m-9)

a)

m²+17m-72

b)

m²-17m-72

c)

m²-17m+72

d)

m²-72

22.

Which equation represents the line that passes through the points (-4, 4) and (8, -2)?

a)

y = -2x + 14

b)

y = -2x - 4

c)

y = (-1/2)x + 2

d)

y = (-1/2)x - 2

23.

What is the x-intercept?

a)

12

b)

-3

c)

8

d)

0

24.

Meg's teacher asked her to find the zero(s) of the equation below. Meg decided to factor to find the zero(s). 0= x²- 4x + 4 (x ___) (x ___)

a)

(x - 2)(x + 2)

b)

(x - 4)(x + 1)

c)

(x - 4)(x + 4)

d)

(x - 2)(x - 2)

25.

Emily makes $10 per hour at her job. Her paycheck was $370. If h represented the number of hours Emily worked, which equation below represents Emily's paycheck?

a)

h =10/370

b)

370h = 10

c)

370 (10) = h

d)

10h = 370

26.

Solve the equation
4(2x-5)=7(2x+4)

a)

8

b)

-8

c)

-1.5

d)

1.5

27.

Solve the equation for y
4x+2y=16

a)

y=4x+16

b)

y=-2x-8

c)

y=2x+8

d)

y=-2x+8

28.

Simplify: 6w - 6w + 6w + 9w

a)

w

b)

15w

c)

9w

d)

6w

29.

When graphing do you use an open or closed circle for > ?

a)

Open

b)

Closed

30.

When graphing do you use an open or closed circle for < ?

a)

Open

b)

Closed

31.

Which graph represents the inequality 2x + 3 < 7

a)

b)

c)

d)

32.

What is domain?

a)

x-value

b)

y-value

c)

output

d)

slope

33.

What is range?

a)

input

b)

y - value

c)

x- value

d)

direct variation

34.

Is this a function?

a)

Function

b)

Not a Function

35.

Is this a function?

a)

Function

b)

Not a Function

36.

Is this a function?

a)

Function

b)

Not a Function

37.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

38.

What is the slope of the line with the equation
$y\ =\ -\frac{3}{2}x\ +\ 4$

a)

$-\frac{3}{2}$

b)

$\frac{3}{2}$

c)

$4$

d)

$-4$

39.

Which line has a slope of 0?

a)

Line A

b)

Line B

c)

Line C

d)

Line D

40.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

41.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

42.

What kind of lines have no solution to a system of equations

a)

Parallell Lines

b)

Overlapping lines

c)

Intersecting Lines

d)

Skew Lines

43.

Determine the ordered pair that IS a solution.

a)

(2, 2)

b)

(2, 4)

c)

(3, 2)

d)

(-3, 2)

44.

Which of the following is not a solution to this system of inequalities?

a)

(0,-1)

b)

(0,3)

c)

(4,0)

d)

(6,-2)

45.

When in doubt, plug everything into (a) !!!!!

46.

Simplify.
2x² + (4x - 6x²) + 9 - (6x + 3)

a)

-4x² - 2x + 12

b)

4x² + 2x - 6

c)

-4x² - 2x + 6

d)

-4x² + 10x + 12

47.

Simplify. (x) (x⁵y) (y³)

a)

x⁵y³

b)

x⁶y⁴

c)

x⁶y³

d)

x⁵y⁴

48.

Simplify. (2x) (3x³y) (y³)

a)

6x⁴y³

b)

6x⁴y⁴

c)

5x⁴y⁴

d)

5x³y³

49.

(6x⁹y⁵)²

a)

6x¹⁸y¹⁰

b)

36x¹¹y⁷

c)

6x¹¹y⁷

d)

36x¹⁸y¹⁰

50.

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

51.

What are the zeroes for the quadratic function
f(x) = x² + 2x - 15?

a)

x = 5 and x = -3

b)

x = -5 and x = 3

c)

x = 5 and x = 3

d)

x = -5 and x = -3

52.

Solve for a.

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

53.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

54.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 8 = 3(x - 4) + 1

a)

one

b)

no solutions

c)

infinite solutions

55.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 7 = 3(x - 3) + 2

a)

one

b)

no solutions

c)

infinite solutions

56.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
5x + 6 = 2 + 3x

a)

one

b)

no solutions

c)

infinite solutions

57.

14 < -2a + 6 - 2a

a)

a > -2

b)

a < -2

c)

a > 2

d)

a < 2

58.

Solve:
6x+10>5x-12

a)

x>2

b)

x<2

c)

x<-22

d)

x>-22

59.

What is the domain of the graph?

a)

-7 ≤ x < 5

b)

-3 ≤ x < 1

c)

-3 ≤ y < 1

d)

-7 ≤ y < 5

60.

What is the range of the graph?

a)

-7 ≤ x < 5

b)

-3 ≤ x < 1

c)

-3 ≤ y < 1

d)

-7 ≤ y < 5

61.

Is this a function?

a)

Function

b)

Not a Function

62.

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)

63.

For the function f(x) = -3x + 3 find f(0).

a)

0

b)

-3

c)

3

d)

-1

64.

Write the polynomial so the powers of x are in descending order.
9x² + 5x + 27 + 2x³

a)

27 + 5x + 9x² + 2x³

b)

9x² + 5x + 2x³ + 27

c)

9x² + 5x + 27 + 2x³

d)

2x³ + 9x² + 5x + 27

65.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

66.

Simplify:
2x ( -2x -3)

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

67.

(x +2)(x + 3)

a)

x² + 5x + 6

b)

x² + x + 6

c)

x² + 5x + 5

d)

x² + 6x + 6

68.

(x - 7)(x + 7)

a)

x² + 7x - 49

b)

x² - 7x + 49

c)

x² - 49

d)

x² + 49

69.

-5x⁶(3x² - 12x + 30)

a)

-15x⁸+ 60x⁷- 150x⁶

b)

15x⁸- 60x⁷- 150x⁶

c)

8x⁶- 17x + 35

d)

-8x⁶+ 17x - 35x²

70.

(5c-2)(3c²-5c+4)

a)

15c³-31c⁴+30c²-8

b)

15c³-19c²+10c-8

c)

15c³-31c²+30c-8

d)

15c³-31c²+30c+8

71.

At a farmer’s market the total cost of 3 pounds of red apples and 4 pounds of green apples is $8, including tax. The total cost of 6 pounds of red apples and 1 pound of green apples is $6.20, including tax. What is the price per pound of the green apples?

a)

$1.40

b)

$0.80

c)

$3.00

d)

$2.20

72.

Which graph best represents the solution set of

−4x ≤ 6y − 54?

a)

A

b)

B

c)

C

d)

D

73.

What is the solution set for −4x + 10 ≥ 5x + 55?

a)

F

b)

G

c)

H

d)

J

74.

Which graph best represents the solution set of

y≤ - 4x ?

a)

A

b)

B

c)

C

d)

D

75.

Solve the formula for r.
C = 2πr

a)

r = 2Cπ

b)

r = 4Cπ

c)

r = c/2π

d)

2r = Cπ

76.

What values of x satisfy the inequality?
-(4x - 15) < 8x + 3

a)

x < 1

b)

x < -1

c)

x > 1

d)

x > -1

77.

Solve this inequality
4x + 14 < -2(4x - 1)

a)

x > 1

b)

x < 1

c)

x > -1

d)

x < -1

78.

Which of the following graphs best describes a system with no solution?

a)

b)

c)

d)

79.

Which graph shows a function with a domain of all real numbers greater than 7?

a)

b)

c)

d)

80.

A painter charges $35 per hour for labor plus $40 for a ladder rental when he paints a house. The customer provides the paint. The total charge to paint a customer's house was $950. How many hours did the painter spend painting the house?

a)

12 and 2/3 hours

b)

28 hours

c)

23 hours

d)

not here

81.

Which inequality is equivalent to 7x - 2y > 8 ?

a)

b)

c)

d)

82.

Which graph does not represent y as a function of x?

a)

b)

c)

d)

83.

An architect is designing an office building with n floors that will have an FM radio antenna 15.85 meters tall on its roof. Each floor of the building will be 3.9 meters high. Which function can be used to find the total height of the building in meters, including the FM antenna?

a)

h(n) = 15.85n + 3.9

b)

h(n) = 3.9n + 15.85

c)

h(n) = 3.9n - 15.85

d)

h(n) = 19.75n

84.

What is the range of the function shown?

a)

{-7, -2, 0, 5}

b)

{-9, -4, -1}

c)

{-9, -7, -4, -2, -1, 0, 5}

d)

{-1}

85.

If y = -4/5x - 2, what is the value of x when y = -9?

a)

-35/4

b)

-55/4

c)

35/4

d)

55/4

86.

Which graph represents -3x + 5y = -15

a)

b)

c)

d)

87.

A _____________ is a symbol, usually a letter that stands for a number.

a)

coefficient

b)

algebraic expression

c)

variable

d)

term

88.

A(n) __________________ consists of one or more numbers, variables, and operations.

a)

numeric expression

b)

term

c)

variable

d)

algebraic expression

89.

How many terms are in the given expression?
5² + 7n - 2f

a)

6

b)

5

c)

3

d)

2

90.

What is the coefficient of the following expression?
7c + 8

a)

c

b)

7

c)

8

d)

1

91.

What are the variables of 7x+6y-9

a)

6,7

b)

9

c)

6y, 7x

d)

x, y

92.

Identify the terms, coefficients, and constants of the expression. 6q+1

a)

Terms: 6q, 1 Coefficient: 6 Constant: 1

b)

Terms: 6 Coefficient: 1 Constant: q

c)

Terms: 6q Coefficients: 6, 1 Constant: 1

d)

Terms: 1 Coefficient: 6 Constant: 1, q

93.

Write the phrase as an expression. "10 less than a number n"

a)

10-n

b)

n-10

c)

n+10

d)

10-n

94.

Evaluate m² if m = 5

a)

10

b)

25

c)

15

d)

20

95.

Evaluate 6a x b + 2c if a = 3, b = 10, and c = 7

a)

19

b)

194

c)

180

d)

14

96.

$(4-4\cdot3+3^2)\ -(2)^3$

a)

-7

b)

1

c)

-8

d)

-10

97.

Write the algebraic expression:

4 less than 5 times p

a)

5p - 4

b)

4 - 5p

c)

4p - 5

d)

5 - 4p

98.

Write the algebraic expression:

the product of 4 and p divided by 12

a)

^4p/₁₂

b)

¹²/_4p

c)

4p

d)

12p

99.

Write a word phrase:

3(x + 2)

a)

three times a number plus two

b)

three times the quantity a number increased by two

c)

the quotient of three and a number plus two

100.

Write the word phrase:

24 × (20 + 5)

a)

The product of 24 and 20 plus 5

b)

24 times the sum of 20 and 5

c)

The product of the difference between 20 and 5

d)

The sum of 24 and 20 and 5

101.

Which algebraic expression represents 3 times the sum of b and f

a)

$3+b+f$

b)

$3bf$

c)

$3\left(b+f\right)$

d)

$3b+f$

102.

Evaluate $\left(ab\right)^2\$ for a = 4 and b = 3.

a)

36

b)

24

c)

81

d)

144

103.

Simplify $\sqrt{169}$

(a)

104.

$y=3x$ What ordered pair is a solution of the equation?

a)

(-2, -9)

b)

(-8, -18)

c)

(-8, -3)

d)

(-10, -30)

105.

Look at the model. Which of the following algebraic expressions could it represent?

a)

3x + 4 + 2x + 1

b)

7x + 3x

c)

3x + 2x

d)

4 + 1

106.

Look at the model. Which of the following algebraic expressions could it represent?

a)

3x - 2 - 1 + 6

b)

3x - 2 - 1 + 6x

c)

3x - 2 - x + 6x

d)

3x + 2x - x - 6

107.

Look at the model. Which of the following algebraic expressions could it represent?

a)

9x

b)

3x + 8

c)

-2 + 2 - x + 4

d)

-2 + 2x - x + 4

108.

$9^2=18$ True or false?

a)

True

b)

False

109.

$3_{\sqrt{8}}$ (cube root of 8)

a)

2

b)

$\pm2$

c)

-2

d)

None of the above

110.

The area of a square painting is 81 $cm^2$ . What is the length of one side?

a)

9

b)

-9

c)

40.5

d)

-40.5

111.

$\left(-6\right)^2$ = ?

a)

12

b)

-12

c)

-36

d)

36

112.

$\sqrt{\left(\frac{16}{81}\right)}\ \ =\ ?$

a)

$\frac{8}{27}$

b)

$\frac{8}{9}$

c)

$\frac{4}{9}$

d)

$\frac{4}{3}$

113.

A cube with side length s has a volume of 64 cubic units. What is the length of one side?

a)

4

b)

8

c)

16

d)

32

114.

Select the set with all perfect squares.

a)

-144, 9, 50, 75, 81, 100

b)

9, 50, 81, 100

c)

9, 50, 75, 81, 100

d)

9, 81, 100

115.

$\left(-\frac{5}{6}\right)^3$

a)

$\frac{25}{36}$

b)

$\frac{125}{216}$

c)

$-\frac{36}{25}$

d)

$\frac{36}{25}$

116.

Which of the following lines

goes through the point (0, 4) and

is parallel to y = 5x - 3?

a)

$y\ =\ \frac{1}{5}x\ -\ 3$

b)

$y\ =\ 5x\ -\ 7$

c)

$y\ =\ 5x\ +\ 4$

d)

$y\ =\ -5x\ -\ 3$

117.

Which of the following lines
goes through the point (-3, 4) and
is perpendicular to $y\ =\ \frac{3}{2}x\ +\ 6\ ?$

a)

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

b)

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

c)

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

d)

$y\ =\ \frac{3}{2}x\ -\ 6$

118.

What is the slope of a

line parallel to the line

y = -9x - 2?

a)

-2

b)

$\frac{1}{9}$

c)

$\frac{1}{2}$

d)

- 9

119.

What are the equation and slope of

the line shown on the grid?

a)

$y\ =\ 6;\ slope\ is\ -\frac{1}{6}$

b)

$y=6;\ slope\ is\ 6.$

c)

$x\ =\ 6;\ slope\ is\ zero$

d)

$x\ =\ 6;\ slope\ is\ undefined$

120.

Which line appears to have an

x-intercept of -5 and a y-intercept

of 3?

a)

F

b)

G

c)

H

d)

J

121.

a)

2x⁵y⁷

b)

c)

d)

122.

a)

b)

c)

d)

123.

(12x²y²)² (xy)⁴

a)

12x⁴y⁸

b)

12x⁸y⁸

c)

144x⁴y⁸

d)

144x⁸y⁸

124.

a)

b)

c)

d)

125.

a)

b)

c)

-64x⁷y¹²z²⁴

d)

126.

x⁰y⁴z⁷

a)

b)

xy⁴z⁷

c)

y⁴z⁷

d)

Could not simplify

127.

a)

b)

c)

d)

128.

3x(x^-2y⁵z^-7)²

a)

b)

c)

d)

129.

What is the value of the y-coordinate of the solution to the system of equations
x-2y=1
x+4y=7

a)

1

b)

-1

c)

3

d)

4

130.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

131.

Select the ordered pair which is a solution of the following system of equations:
5x + 7 = 4y
2x - 1 = y + 1

a)

(5,8)

b)

(0,0)

c)

(-1,-5)

d)

(11,40)

132.

What is the value of the y-coordinate of the solution to the system of equations

x-2y=1

x+4y=7

a)

1

b)

-1

c)

3

d)

4

133.

Why do I draw a closed circle when it's less than or equal to or greater than or equal to?

a)

Because we are INCLUDING that solution

b)

Because we are NOT INCLUDING that solution

134.

Given:

x ≤ -10

Is -25 a solution?

a)

Yes, it is a solution.

b)

No, it is not a solution.

135.

When is your Unit 2A Exam?

a)

Friday October 5th

b)

Thursday October 4th

c)

Monday October 8th

136.

If you were to graph the inequality would the arrow point to the left or right?
x < 17

a)

left

b)

right

137.

If you were to graph the inequality would the arrow point to the left or right?
$x\ge9$

a)

left

b)

right

138.

When writing a solution in interval notation, what brackets do i use for:

> or <

a)

[ ]

b)

( )

139.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{0, 1, 2, -4}
R:{1, -3, -4}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

140.

What is the range?

a)

{-5, -1, 0 , 1, 5}

b)

{-4, -2, 0, 3, 6}

c)

[-4, 6]

d)

[-5, 5]

141.

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.

Algebra 1 SOL Review: LHS

Total questions: 141

Worksheet time: 10hrs 40mins

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