Free Printable Algebra I Review

1.

What is the equation for the axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

2.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

3.

Find the y-intercept of f(x) = 2x²- 2x + 1

a)

2

b)

-2

c)

1

d)

-1

4.

Does y = -4x² have a maximum or minimum value?

a)

maximum

b)

minimum

5.

What is the vertex of the quadratic function:
y = x² - 6x + 11?

a)

(3,2)

b)

(-3,-2)

c)

(-3,2)

d)

(3,-2)

6.

Determine the vertex of the parabola:
y = 5x²- 20x + 13

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

7.

Which of the following is the correct equation for the given graph?

a)

f(x) = (x - 2)² - 1

b)

f(x) = (x + 2)² - 1

c)

f(x) = -(x + 2)² - 1

d)

f(x) = -(x - 2)² - 1

8.

What is the formula to find the vertex of a parabola?

a)

x = -b/2

b)

x = -b

c)

x = -b / (2a)

d)

x = -b / 2

9.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

none of these

10.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

11.

Identify the vertex and whether the graph opens up or down.

a)

(-1, 4); opens up

b)

(-1, 4); opens down

c)

(1, 4); opens up

d)

(1, 4); opens down

12.

What is another name for the x-intercepts of a quadratic?

a)

y-intercepts

b)

zeros

c)

x-axis

d)

none of these

13.

What is the correct equation for this parabola?

a)

$y=\left(x-3\right)^2-1$

b)

$y=\left(x-3\right)^2+1$

c)

$y=\left(x+3\right)^2-1$

d)

$y=\left(x+3\right)^2+1$

14.

Find the equation of the parabola that has...

moved 3 units to the left

moved 5 units up

a)

$y=\left(x+3\right)^2+5$

b)

$y=\left(x+5\right)^2+3$

c)

$y=\left(x-3\right)^2+5$

d)

$y=\left(x+5\right)^2-3$

15.

Find the equation of the parabola that has moved...

3 units up

a)

$y=x^2+3$

b)

$y=x^2-3$

c)

$y=\left(x+3\right)^2$

d)

$y=3x^2$

16.

If the blue graph is

f(x) = x²

then the red must be...

a)

g(x) = x²- 5

b)

g(x) = x²+ 5

c)

g(x) = (x - 5)²

d)

g(x) = (x + 5)²

17.

Solve
a² + 2a - 24 = 0

a)

a = -6, 4

b)

a = 6, -4

c)

a = 12, -2

d)

a = 8, -3

18.

Solve
4m² - 100 = 0

a)

m=25, -25

b)

m=96

c)

m=5, -5

d)

m=-96

19.

Convert x²-9x+20 to factored form and solve.

a)

(x-10)(x+2); x=-2, 10

b)

(x+4)(x+5); x=-5, -4

c)

(x-4)(x-5); x=4, 5

d)

Not factorable

20.

Solve 3x² - 192 = 0

a)

-32 or 32

b)

No Solution

c)

-8 or 8

d)

-64 or 64

21.

What are the zeros?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

22.

Find the zeros of the equation:
(x+10)(x-2) = 0

a)

10 and 2

b)

-2 and 10

c)

-10 and 2

d)

-2 and -10

23.

Solve the following quadratics equation by completing the square...

x² - 6x + 2 = 0

a)

x = -3 ± √7

b)

x = 3 ± √7

c)

x = 7 ± √3

d)

x = -7 ± √3

24.

What do you do to the b value to correctly complete the square?

a)

square it

b)

divide it by 2 and square the result

c)

divide it by 2 and take the square root of the result

d)

divide it by 2 only

25.

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

a)

4

b)

2

c)

8

d)

20

26.

Solve using Zero-Product Property
(x-11)(5x+1) = 0

a)

x = 11 or x = -1/5

b)

x = -11 or x = -1/5

c)

x = 11 or x = 1/5

d)

x = -11 or x = 1/5

27.

Solve
a² + 2a - 24 = 0

a)

a = -6, 4

b)

a = 6, -4

c)

a = 12, -2

d)

a = 8, -3

28.

Factor and Solve: $16a^2-9=0$

a)

a = $-\frac{3}{4}$ , $\frac{3}{4}$

b)

a = $-\frac{4}{3}$ , $\frac{4}{3}$

c)

a = $-\frac{9}{16}$ , $\frac{9}{16}$

d)

a = $-\frac{16}{9}$ , $\frac{16}{9}$

29.

Factor and Solve: Remember the two numbers you choose when factoring, are not your solutions to the equation!

a² + 2a − 24 = 0

a)

a = −6, 4

b)

a = 6, −4

c)

a = 12, −2

d)

a = 8, −3

30.

Factor and Solve: Remember the two numbers you choose when factoring, are not your solutions to the equation!

x² + 13x + 12 = 0

a)

x = −12, −1

b)

x = 12, 1

c)

x = 13, 1

d)

x = −13, −1

31.

Factor and solve:

z² − 14z + 45 = 0

a)

z = 1, 45

b)

z = −1, 45

c)

z = −5, 9

d)

z = 5, 9

32.

What are the steps to solving this by completing the square?

a² + 10a + 21 = 0

a)

Subtract 21 from both sides of the equation

b)

Add 25 to both sides of the equation

c)

Rewrite the left hand side as a (binomial)²

d)

Take the square root of both sides of the equation

e)

Subtract 5 from both sides of the equation

1)

2)

3)

4)

5)

33.

Solve by method of your choice.

x² + 10x = -9

a)

1 and -12

b)

-1 and -9

c)

1 and -9

d)

1 and -1

34.

Solve
2x² - 3x - 2 = 0

a)

x = 1, x = -1

b)

x = -1/2, x = 2

c)

x = 1/2, x = 2

d)

x = 1/2, x = 1

35.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

36.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

37.

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

a)

y=6(0.14)^x

b)

y=6(1+14)^x

c)

y=6(1.14)^x

d)

y=6(0.86)^x

38.

Identify the initial value:

y = 6.87 (4)^x

a)

a = 4

b)

a = 6.87

c)

a = 3

d)

a = 1

39.

Which table represents the following equation?

a)

b)

c)

d)

40.

Write the function for the following table:

a)

f(x)= 1(2)^x

b)

f(x)= 2(1)^x

c)

f(x) = 2x+1

d)

f(x)= x+2

41.

Which equation is represented by the table?

a)

y = 40(2)^x

b)

y = 40(1/2)^x

c)

y = 40 - 2x

d)

y = 40 - 1/2x

42.

In the linear equation, y = mx + b, the letter m is the ___________.

a)

y-intercept/initial value

b)

x-intercept

c)

slope/rate

d)

multiplier

43.

In the linear equation, y = mx + b, the letter b is the ___________.

a)

y-intercept/initial value

b)

x-intercept

c)

slope

d)

rate of change

44.

In an exponential function, what does the 'b' represent?

a)

Input

b)

Rate of change

c)

Y-intercept

d)

Output

45.

In an exponential function, what does the 'a' represent?

a)

Input

b)

Rate of change

c)

Y-intercept/Initial value

d)

Output

46.

What type of pattern do exponential functions have?

a)

Adds or subtracts by the same number every time

b)

Multiplies or divides by the same number every time

c)

Square roots all the inputs

47.

What type of pattern do linear functions have?

a)

Adds or subtracts by the same number every time

b)

Multiplies or divides by the same number every time

c)

Square roots all the inputs

48.

The function

f(x)=1600\cdot2^x

gives the number of insects after x years. How many insects were there initially?

a)

1600

b)

2

c)

There is not enough information to tell.

49.

Use the function $m\left(t\right)=.05\left(2\right)^t$ where M is the amount of money you have after t days.

How much money will you have after 14 days?

a)

$ 819.20

b)

$ 1.4

c)

$ 140

50.

Use the function $n\left(t\right)=14000\left(.96\right)^t$ Where n is the number of employees and t is the number of years.

How many employees will there be after 3 years?

a)

14,000 employees

b)

12,386 employees

c)

40,360 employees

d)

15,748 employees

51.

What is the common ratio(multiplier) for the sequence:

3, 15, 75...

a)

12

b)

1/5

c)

5

52.

If a table's pattern is that the f(x) values are being divided by 3, what is the common ratio?

a)

3

b)

-3

c)

1/3

d)

-1/3

53.

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

a)

2

b)

4

c)

(2)^x

d)

8

54.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

55.

Is (-2,4) a solution to the system?

a)

Solution

b)

Not a solution

56.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

57.

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)

58.

Match the system to the graph (solution set is on the left)

a)

y ≤ 3x and y ≤ -2x + 4

b)

y > 3x and y > -2x + 4

c)

y < 3x and y > -2x + 3

d)

y > 3x and y < -2x + 4

59.

This system has an infinite number of solutions, TRUE or FALSE?

a)

TRUE

b)

FALSE

60.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

61.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

62.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

63.

When graphing an inequality, you use a dotted line when you use which symbol?

a)

<, >

b)

≤, ≥

64.

When you graph an inequality, you used a solid line when you use which symbols?

a)

≤, ≥

b)

<, >

65.

Consider the function y<2x+3. Which is true?

a)

The line would be solid with shading above.

b)

The line would be dashed with shading above.

c)

The line would be solid with shading below.

d)

None of these.

66.

Rewrite this inequality in "y=" form to graph.

3x - 6y > 12

a)

y > ¹/₂x - 2

b)

y < -¹/₂x + 2

c)

y < ¹/₂x - 2

d)

y > -3x - 2

67.

Which is the graph of the system of inequalities?

a)

b)

c)

d)

68.

Solve the system of inequalities by graphing. $8x\ +4y\ge10\ and\ 3x-6y>12$

a)

b)

c)

d)

69.

Add the following polynomials.

Enter the correct answer. (Make sure to use x from your keyboard.)

$(3x^2+5x-4)+(4x^2-x+14)$

70.

Add the polynomials. Enter the correct answer.

$(-x^2+9x)+(2x^2-x)$

71.

Match the following:

a)

Monomial

1.

( $-2x$ )

b)

Binomial

2.

( $3x^2+7$ )

c)

Trinomial

3.

( $5x^2+7x-10$ )

d)

Polynomial

4.

( $8x^4+7x^2+3x-9$ )

72.

Add the polynomials.

$(5rt-3rw-8tw)+(6rt-4rw+2tw)$

a)

$11rt+rw-10tw$

b)

$11rt-7rw-6tw$

c)

$11rt+rw-6tw$

d)

$11rt-7rw-10tw$

73.

Find the sum. Enter the answer. (Put them in the correct order.)

$(3-2x+2x^2)+(4x-5+3x^2)$

74.

Subtract the polynomials.

$(2a^2+5a+3)-(a^2-3a-4)$

a)

$3a^2+2a-1$

b)

$a^2+8a+7$

c)

$3a^2+8a+7$

d)

$a^2+2a-1$

75.

Subtract the polynomials. Enter the correct answer.

$(4x^2+x)-(x^2+2x)$

76.

Subtract the following polynomials:

$(6x^2+10x-9)-(4x^2-13)$

a)

$2x^2+10x-22$

b)

$10x^2+10x-22$

c)

$2x^2+10x-4$

d)

$2x^2+10x+4$

77.

Enter the correct answer:

$(5x+x^2-4)-(4x-x^2+6)$

78.

What is adding and subtracting polynomials?

a)

Adding and Subtracting Polynomials

Is identifying

Like terms between expressions.

b)

Adding and subtracting polynomials is just adding and subtracting

c)

Adding and Subtracting polynomials is just numbers and letters

d)

Adding and subtracting polynomials is

79.

What is (5x²-2x-4) + (x² - 2x + 3)

a)

6x² - 4x - 1

b)

6x² + 4x + 1

c)

6x²- 4x + 1

d)

6x² + 4x - 1

80.

What is (-2y² + 7y - 1) + (3y² - 5y + 9)

a)

1y² - 2y + 9

b)

1y² + 2y - 9

c)

1y² - 2y + 8

d)

1y² + 2y + 8

81.

What is (4n² - n + 3) + (n² + 5n - 2)

a)

3n² + 6n - 5

b)

3n² - 6n + 5

c)

3n² + 6n + 5

d)

3n² - 6n - 5

82.

What is (3x² + 2x - 6) - (2x² - 3x + 1)

a)

1x² + 5x + 5

b)

1x² - 5x - 7

c)

1x² + 5x - 7

d)

1x² - 5x + 7

83.

Find the sum.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

a)

4x³ + 1x² – 3x + 1

b)

2x³ + 1x² - 5x + 9

c)

6x³ + 1x - 1x² - 3

d)

3x⁵ +1x - 1x⁵ - 3x

84.

Add: (3x - 2) + (3x² + 6x)

a)

3x² + 9x - 2

b)

6x²+ 4x

c)

3x²+ 3x - 2

d)

6x² + 6x - 2

85.

Which polynomial is written in standard form?

a)

-3x + 8x² + 9x³ - 11

b)

9x³ + 8x²- 3x - 11

c)

8x²+ 9x³ -11 - 3x

d)

-11 - 3x + 8x² + 9x³

86.

Which polynomial is written in standard form?

a)

8x - 11x²

b)

4x³ + 7x - 9

c)

12 + 4x

d)

13x + 7x² - 9x³ + 12

87.

What is the term classification of the following polynomial?
x³-7x²+3

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

88.

A polynomial that has two terms is a:

a)

polynomial

b)

monomial

c)

binomial

89.

Solve the following Polynomial and write your answer in standard form.

(3x⁴+2) + (5x⁴ + 3)

a)

8x⁴+5

b)

5+8x

c)

8x³+5

90.

Classify the polynomial by its number of terms.

$6y^5+9y^2-3y+8$

a)

MONOMIAL

b)

BINOMIAL

c)

TRINOMIAL

d)

POLYNOMIAL

91.

$Add:\ \ \left(9x^3+5x^2-3x\right)+\left(4x^3-8x^2+7x\right)$

a)

$5x^3-3x^2+4x$

b)

$13x^3-13x^2+4x$

c)

$13x^3-3x^2+4x$

d)

$14x^6$

92.

$Add:\ \ \left(-4k^4+14+3k^2\right)+\left(-3k^4-14k^2-8\right)$

a)

$-7k^4-11k^2+6$

b)

$12k^4-11k^2+6$

c)

$-7k^4+0-5k^2$

d)

$-7k^4-11k+2$

93.

$Subtract:\ \ \left(6x^4-5x^3+2x^2-8x\right)\ -\ \left(4x^4+5x^3+3x^2+12x\right)$

a)

$10x^4-10x^3-x^2-20x$

b)

$2x^4-10x^3-x^2-20x$

c)

$2x^4-x^2-20x$

d)

$2x^4-20x$

94.

Combine Like Terms

TRUE or FALSE

These are LIKE TERMs.

3x and 3x²

a)

True

b)

False

95.

Combine Like Terms

Simplify the polynomial by combining like terms.

2r + 5r³ + 7r + 5 + r³

a)

7r³ + 7r² + 7

b)

6r³ + 7r + 5

c)

12r³ + 9r - 5

d)

6r³ + 9r + 5

96.

(5x⁴- 4x³- 2x² + x - 19) - (x⁴+ 5x³ + 8x² + x + 5)

a)

4x⁴- 9x³- 10x²- 24

b)

4x⁴- 9x³ - 10x²- 2x - 24

c)

4x⁴ - 9x³ - 10x² + 2x - 24

d)

-4x⁴ - 9x³ - 10x² - 24

97.

Put in Standard Form.
12 - 3x³ - 10x - x²

a)

- 3x³ - x² - 10x + 12

b)

3x³ - x² + 10x + 12

c)

12 - 3x³ - 10x - x²It is in Standard Form.

d)

12 - 10x - 3x³ - x²

98.

Simplify the expression.

(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

a)

5a³ - 4a² - 14a - 7

b)

11a³ - 4a² - 14a - 7

c)

11a³ - 4a² - 20a - 7

d)

3a³ - 9a² - 20a - 7

99.

Identify the domain of the following relation:

a)

-6, 14, 2, 28

b)

(-6,14), (0,32), (2,38), (4,44)

c)

-6, 0, 2, 4

d)

14, 32, 38, 44

100.

What is the range of the following graph?

a)

all real numbers

b)

all integers

c)

any real number greater than zero

d)

it can not be determined

101.

What is the Range?

a)

y ≥ 6

b)

$y\le6$

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

102.

$\frac{3}{2}x\ =6$ solve for x

a)

4

b)

3

c)

12

d)

2

103.

$7x+8=29$

The first step to solve this equation is to (a) . The next step is to (b) . The answer is (c) .

Choose from the below words

subtract 8

divide 7

x=3

add 8

multiply 7

subtract 7

x=2

x=5.2

x=7

divide 8

104.

Which of the graphs represents the linear inequality $y>\frac{1}{2}x+3$ ?

a)

b)

c)

d)

105.

Which of the graphs represents the linear inequality $y\le-x-4$ ?

a)

b)

c)

d)

106.

Solve

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

107.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

108.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

109.

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

a)

Growth

b)

Decay

110.

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

a)

Growth

b)

Decay

111.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

112.

Is this exponential growth or decay?

a)

Growth

b)

Decay

113.

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

a)

y=6(0.14)^x

b)

y=6(1+14)^x

c)

y=6(1.14)^x

d)

y=6(0.86)^x

114.

Write an equation in slope-intercept form:

$Slope\ =\ \frac{3}{8}$

y-intercept\ =\ \left(0,\ -1\right)

a)

$y\ =\ \frac{3}{8}x\ -\ 1$

b)

$y\ =\ \frac{3}{8}x\ +\ 1$

c)

$y\ =\ 1x\ +\ \frac{3}{8}$

d)

$y\ =\ 1x\ -\ \frac{3}{8}$

115.

Write the equation for the graph shown.

a)

$y\ =\ \frac{2}{1}x\ +\ 9$

b)

$y\ =\ -\frac{1}{2}x\ -\ 9$

c)

$y\ =\ -\frac{2}{1}x\ +\ 9$

d)

$y\ =\ \frac{1}{2}x\ +\ 9$

116.

A photographer has already taken 10 pictures. She takes an additional 3 pictures per hour.

a)

$y\ =\ 10x\ +\ 3$

b)

$y\ =\ 3x\ +\ 10$

c)

$y\ =\ 3x\ -\ 10$

117.

Gil has $200 saved for snacks. He will spend $5 on snack per week until he runs out.

a)

$y\ =\ 200-5x\$

b)

$y\ =\ 5x\ +\ 200$

c)

$y\ =\ -200x\ +\ 5$

118.

_{What is the y-intercept of the line?}

a)

y = 1/2

b)

y = 1

c)

y = -1/2

d)

y = -1

119.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

120.

Give the solution to the system

a)

(3,1)

b)

(1,3)

c)

(-1,3)

d)

a hoppy hippo

121.

a)

Function

b)

Not a Function

122.

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 + 2)

c)

(x + -4)(x + 4)

d)

(x + -2)(x + -2)

123.

Jordan wants to complete the square of the equation x² + 4x = 3.
.
(x + __)²= 7
Click the missing number to help Jordan finish completing the square.

a)

2

b)

-4

c)

7

d)

-2

124.

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

a)

8

b)

-8

c)

-1.5

d)

1.5

125.

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

a)

y=4x+16

b)

y=-2x-8

c)

y=2x+8

d)

y=-2x+8

126.

Simplify:
9 - 4(8 - 3) + 10 ÷ 2

a)

-6

b)

30

c)

-3

d)

5

127.

Find the slope of the line containing these two points:
(-5, 1) and (-6, -3)

a)

m = 4/11

b)

m = 1/4

c)

m = -2

d)

m = 4

128.

Which of the following solutions fits the graph shown?

a)

x < -2

b)

x > -2

c)

x ≤ -2

d)

x ≥ -2

129.

Evaluate the expression (ab)² for a = 4 and b = 3

a)

36

b)

24

c)

81

d)

144

130.

Multiply the binomials.
(x + 5)(x + 3)

a)

x² + 8x + 15

b)

x² + 15x + 8

c)

2x² + 8x + 8

d)

2x² + 15x + 8

131.

Solve.
2x - 3 = 4x+7

a)

x = 7

b)

x = -1

c)

x = 5

d)

x = -5

132.

Solve for x.

2x + 1 = 5

a)

x = 2

b)

x = 1

c)

x = 3

d)

x = 13

133.

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

a)

F

b)

G

c)

H

d)

J

134.

Which graph best represents the solution set of

y≤ - 4x ?

a)

A

b)

B

c)

C

d)

D

135.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

136.

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

c)

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

d)

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

137.

Evaluate the function for the given value:

a)

24

b)

30

c)

9

d)

6

138.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

139.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

12

140.

Solve 9 + 3x = 10

a)

2/3

b)

1/3

c)

-1/3

d)

4

141.

Solve for x.

a)

x = 21

b)

x = 7

c)

x = −21

d)

x = 4

142.

What is the first step to solve this equation:
-11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

143.

Solve for x.

a)

x = −11

b)

x = 3

c)

x = 11

d)

x = −5

144.

Solve the following equation for n:
8n = 16

a)

n=24

b)

n=32

c)

n=2

d)

n=8

145.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

146.

Simplify:
5(3x+1)

a)

15x+1

b)

15x+5

c)

8x+1

d)

8x+6

147.

Solve for d:
-7(6 + d) = 49

a)

13

b)

1

c)

-1

d)

-13

148.

Solve the following equation for n:
8 + n = 16

a)

n=24

b)

n=6

c)

n=2

d)

n=8

149.

Solve for n:
n+2=-14-n

a)

6

b)

8

c)

-8

d)

-6

150.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

151.

Solve for r

a)

3

b)

-3

c)

3.3

d)

10

152.

What is the best first step to solve for n in the following equation?
3n - 7 = 30

a)

Divide 3n by 3

b)

Add 7 to both sides

c)

Subtract 30 from both sides

d)

Subtract 7 from both sides

153.

Solve the literal equation for the given variable.

a)

2A/h

b)

2/(h)

c)

2Ah

d)

Ah/2

154.

S = 3F - 24 Solve for F

a)

F = (S + 24)/3

b)

F = S/3 + 24

c)

F = 3S + 24

d)

F = 3(S + 24)

155.

pV = nRT
solve for R

a)

R= pV/nT

b)

R= p/n + V/T

c)

R= pV - nT

d)

R= (pV-n)/T

156.

a)

s = -Dn + C

b)

s = Dn - C

c)

s = Dn/C

157.

$Solve\ C=\frac{5}{9}\left(F-32\right),\ for\ F.$

a)

$F\ =\ \frac{5}{9}C+32$

b)

$F\ =\ \frac{5}{9}C-32$

c)

$F\ =\ \frac{9}{5}C-32$

d)

$F\ =\ \frac{9}{5}C+32$

158.

$Solve\ 3b=6v-3b,\ for\ b.$

a)

$6b-6$

b)

$b-6$

c)

$0$

d)

$6$

159.

The formula $S=4\pi r^2$ gives the surface area S of a sphere in terms of the length of its radius r. Which of the following gives the radius of the sphere in terms of its Surface Area?

a)

$r=\sqrt[]{\frac{S}{4\pi}}$

b)

$r=\sqrt[]{\frac{4\pi}{S}}$

c)

$r=\frac{\sqrt[]{S}}{4\pi}$

d)

$r=\frac{\sqrt[]{4\pi}}{S}$

160.

Solve:
V = πr²h , for h

a)

V/(πr²) = h

b)

V - πr² = h

c)

V + πr² = h

d)

V/π = h

161.

Solve the formula for r. What is the 1st step?

a)

Divide each side by t.

b)

Subtract t from each side.

c)

Add t to each side.

d)

Multiply each side by t.

162.

Solve the formula for x. What is the 1st step?

a)

Add b to each side.

b)

Subtract b from each side.

c)

Divide each side by m.

d)

Multiply each side by m.

163.

A-B = C
(solve for A)

a)

A = C - B

b)

A = C + B

c)

A - C = B

d)

B = A - C

164.

IR = V
(solve for R)

a)

R = IV

b)

R = I/V

c)

R = V/I

d)

R = V - I

165.

W = A/L
(solve for A)

a)

A = W/L

b)

A = LW

c)

A = W + L

d)

A = W - L

166.

2h = w-3p
(solve for p)

a)

p = -(2h - w) / 3

b)

p = (2h - w) / 3

c)

p = -6hw

d)

p = -6h - 3w

167.

Solve for v

C = xv + x

a)

(C-x)/x = v

b)

(C+x)/x = v

c)

(-C-x)/x = v

d)

(Cx)/x = v

168.

Solve for y:
5x - y = 16

a)

-y = 5x + 16

b)

y = 5x + 16

c)

x = 5y - 16

d)

y = 5x - 16

169.

Match the Graph with its slope.

a)

1.

Negative

b)

2.

Positive

c)

3.

Zero

d)

4.

Undefined

170.

Slope is know as

rise/______

a)

run

b)

fall

c)

none

d)

rise

171.

Find the slope of the line below using rise/run.

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

3

d)

$\frac{1}{3}$

172.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

173.

What is the formula for finding slope?

a)

$y=mx+b$

b)

$Ax+By=C$

c)

$\frac{y_2-y_1}{x_2-x_1}$

174.

What is the slope of a line between (-4,14) and (-16,8)?
Reminder!

Formula:

$m=\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}$

(a)

175.

Find the slope. Simplify, if you can.

a)

$\frac{2}{5}$

b)

$\frac{5}{2}$

c)

$2\ \frac{1}{2}$

d)

2

176.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

177.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

178.

What does 'b" represent in y=mx+b

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

179.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

180.

What is the y-intercept of the line with the equation
$y\ =\ -2x\ +\ 4$

a)

$-2$

b)

$2$

c)

$4$

d)

$-4$

181.

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10

a)

y=12x-10

b)

y=10x+12

c)

y=12x+10

d)

x=10x-12

182.

Graph the line with the equation
$y\ =\ -\frac{2}{3}x\ +\ 4$

a)

b)

c)

d)

183.

Write the equation of the graph in slope-intercept form

a)

$y=-2x-4$

b)

$y=2x\ -\ 4$

c)

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

d)

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

184.

Find the slope from the given points:

(3,-1) (4,7)

(a)

185.

Using the equation $y=8x-7\$ what is the y intercept?

(a)

186.

Find the y-intercept of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

b = -6

b)

b = -7

c)

b = 6

d)

b = 7

187.

Write the equation in slope intercept form of a line that passes through the given pair of points: (0,-1) and (2,1)

a)

y =x + 1

b)

y = x - 1

c)

y = -x + 1

d)

y = -x - 1

188.

Write a equation: A plumber charges $50 for a house call plus $12 per hour for labor.

a)

y = 50 x + 12

b)

y =12 x + 50

c)

y = 62 x

d)

x = 50 + 12y

189.

A large one-topping pizza costs $8.99. Additional toppings are $0.49 each. How much would a pizza cost, c, if there are t additional toppings?

a)

c = 0.49t + 8.99

b)

c = 0.49t - 8.99

c)

c = -0.49 + 8.99

d)

c = -0.49 - 8.99

190.

Mr. Zofar is starting his own car club, there is a $30 join up fee and a $5 monthly fee. Write an equation in slope intercept form (y=mx+b) to represent this situation. No spaces.

(a)

191.

You and your friends plan to attend the State fair this weekend. Admission to the fair is $5 and the cost per ride is $0.50. How many rides can you go on if you have $20?

(a)

(b)

192.

Evan is going to the 50th state fair this weekend. It costs $10 to enter and each ride is $2. Create a linear function that could be used to determine how many "x" rides Evan can go on.

a. What does the variable "x" represent? (a) b. Choose the correct equation. (b) c. How many rides can he ride if he has $40? (c)

Choose from the below words

The number of rides

y=2x+10

15

the total cost of going to the fair

y=10x+2

20

40

193.

Suppose that the water level of a river is 44 feet and that it is receding at a rate of 0.6 foot per day. Write an equation for the water level, L, after d days.

a)

L = - 0.6d + 44

b)

L = 44d - 0.6

c)

d = 44 - 0.6L

d)

d = 0.6L - 44

194.

An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. The plane will be at (a) after (b) minutes.

Choose from the below words

20,000

5

40,000

148,000

10

30,000

20

195.

Which equation matches the graph? (Click to see the image)

a)

y = 2x

b)

y = 1/4 x + 2

c)

y = 1x + 4

d)

y = -2x

196.

Which of these lines has a slope of -3?

a)

A

b)

B

c)

C

d)

D

197.

Write an equation in y=mx+b form to represent the graph. No spaces

(a)

198.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

199.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

200.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

201.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

(a)

202.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

203.

Find the slope of the line.

a)

No/Undefined

b)

0

c)

1

d)

-1

204.

Find the slope of the line.

(a)

Algebra I Review

Total questions: 204

Worksheet time: 19hrs 48mins

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