Free Printable Algebra 1 REVIEW Quiz

1.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

2.

-9a - 1 < 26

a)

a < -3

b)

a < 3

c)

a > -3

d)

a > 3

3.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

4.

Translate the statement into an equation:
10 more than twice a number is 18

a)

2n + 10 = 18

b)

10n + 2 = 18

5.

Solve for x

$-4+\frac{x}{3}=-4$

a)

0

b)

1

c)

-3

d)

3

6.

What will you do to solve this equation?

X + 6 = 3

a)

subtract 6 from both sides

b)

add 6 to both sides

c)

subtract 3 from both sides

d)

add 3 to both sides

7.

3x+1=7

a)

2

b)

$\frac{8}{3}$

c)

3

d)

8

8.

$Simplify:\ \ -3\left(2x\ -\ 5\right)$

a)

$9x$

b)

$-6x\ +\ 15$

c)

$-6x\ -5$

d)

$-6x-15$

9.

Simplify:\ 5\left(3x\ -\ 1\right)\ -8+x

a)

$20x-45$

b)

$11x-8$

c)

$16x-9$

d)

$16x-13$

10.

$Solve:\ -\left(4-y\right)\ =y\ -5+1$

a)

No Solution

b)

Infinite Solutions

11.

$Solve:\ \ 3\left(4-6w\right)+9=-15w+30$

(a)

12.

A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.

a)

c = 2.75b + 4

b)

c = 2.75b

c)

c = 4b- 2.75

d)

c = 2.75b - 4

13.

Create a scatterplot from this data. Write the line of best fit for the data.

a)

y = 5.02x + 1.82

b)

y = 8x - 15

c)

y = 1.82x +5.02

d)

y = -1.82x +5.02

14.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

a)

12 chapters

b)

15 chapters

c)

18 chapters

d)

21 chapters

15.

If a line has a slope of 3/4 a line that is parallel has a slope of what?

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

16.

If a line has a slope of 2/3 a line that is perpendicular has a slope of what?

a)

-3/2

b)

3/2

c)

2/3

d)

-2/3

17.

If I am looking for a line parallel to $y=-3x-2$ which one of these equations could it be?

a)

$y=-2x-1$

b)

$y=3x-4$

c)

$y=-3x+6$

d)

$y=-2x-3$

18.

Determine the equation of a line perpendicular to y=-3x-2 and going through the point (9, 2), in slope-intercept form.

a)

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

b)

$y=-\frac{1}{3}x-9$

c)

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

d)

$y=-3x-9$

19.

Identify the domain and range. Does the relation represent y as a function of x?

a)

D: {4}

R: {1, 3, 7, 10}

No, it is not a function.

b)

D: {1, 3, 7, 10}

R: {4}

Yes, it is a function

c)

D: {4}

R: {1, 3, 7, 10}

Yes, it is a function.

20.

Which table represents y as a function of x?

a)

Table 1

b)

Table 2

21.

Which relation represents y as a function of x?

a)

Mapping #1

b)

Mapping #2

22.

Is the following a Function? Explain

a)

Yes; Each input has exactly one output.

b)

Yes; At least one input has more than one output.

c)

No; Each input has exactly one output.

d)

No; At least one input has more than one output.

23.

a)

Function

b)

Not a Function

24.

Is this table a function or not a function?

a)

Function

b)

Not a Function

25.

Is this a function?

a)

Yes

b)

No

26.

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}

d)

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

27.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

28.

Let

$h\left(x\right)=13-5x$ What is $h\left(5\right)=$ ?

a)

$h\left(5\right)=12$

b)

$h\left(5\right)=3$

c)

$h\left(5\right)=-2$

d)

$h\left(5\right)=-12$

29.

Given h(x) = 5 - 9x, find h(8).

a)

h(8) = -360

b)

h(8) = -67

30.

Evaluate for f(1)

a)

0

b)

-3

c)

3

d)

2

31.

If a question asks you to find f(2), what does that mean?

a)

Let x = 2

b)

Let y = 2

32.

If f(x) = 2x + 1, what would be your first step to find f(1)?

a)

Plug a 1 in for all the x's

b)

Set the function equal to 1

c)

Only plug a 1 into the left side

d)

Only plug a 1 into the right side

33.

If f(x) = 2x + 1, find f(1).

a)

f(1) = 1

b)

f(1) = 4

c)

f(1) = 0

d)

f(1) = 3

34.

Find the zero(s) of the function.

a)

x = -3

b)

x = 1

c)

x = {-3, 1}

d)

y = 1

35.

Find the zero(s) of the function.

a)

x = 1

b)

x = -3

c)

x = {-1, 3}

d)

x = 2

36.

Find the zero(s) of the function.

a)

x = -3

b)

x = 3

c)

x = -12

d)

x = 12

37.

What is the x-intercept of the function?

a)

It doesn't have an x-intercept

b)

x = 1

c)

x = 4

d)

x = 0

38.

Match the Graph with its slope.

a)

1.

Negative

b)

2.

Positive

c)

3.

Zero

d)

4.

Undefined

39.

Slope is know as

rise/______

a)

run

b)

fall

c)

none

d)

rise

40.

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

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

3

d)

$\frac{1}{3}$

41.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

42.

What is the formula for finding slope?

a)

$y=mx+b$

b)

$Ax+By=C$

c)

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

43.

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)

44.

Find the slope. Simplify, if you can.

a)

$\frac{2}{5}$

b)

$\frac{5}{2}$

c)

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

d)

2

45.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

46.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

47.

Which equation matches the graph?

a)

y= 3x - 5

b)

y= -3x - 5

c)

y= 3x + 5

d)

y= 3x + 5

48.

What is the y - intercept of the graph?

(a)

49.

What is the slope of the graph?

(a)

50.

What is the equation for the graph?

a)

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

b)

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

51.

Put in slope intercept form

5-y=-\frac{1}{2}x+7

a)

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

b)

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

c)

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

52.

Put in slope intercept form

-3+2y=3x-1

a)

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

b)

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

c)

$y=3x-2$

53.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

54.

When you graph a line using slope-intercept form, you plot the ___________ first and then the ___________.

a)

origin; slope

b)

slope; y-intercept

c)

y-intercept; x-intercept

d)

y-intercept; slope

55.

Which equation matches the graph?

a)

y = 2x

b)

y = 1/4 x + 2

c)

y = 1x + 4

d)

y = -2x

56.

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

a)

A

b)

B

c)

C

d)

D

57.

Find the slope of a line that passes through the points (3, -5) and (6, -6)

a)

-1/3

b)

-3

c)

1/3

d)

3

58.

What kind of lines are these?

a)

Parallel lines

b)

Line segments

c)

Perpendicular Lines

d)

Intersecting lines

59.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

60.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

61.

Solve the system of equations by graphing.

a)

(4, 7)

b)

(3, 5)

c)

(6, 7)

d)

(5, 3)

62.

Match the following

a)

1.

one solution

b)

2.

no solution

c)

3.

infinitely many solutions

63.

Solve the system by graphing.

a)

(-2,2)

b)

(0,4)

c)

(2,-2)

d)

(0,-4)

64.

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.

a)

a + c = 21
6a + 4c = 104

b)

a + c = 104
6a + 4c = 21

c)

a + c = 21
6c + 4a = 104

d)

a + c = 104
6c + 4a = 21

65.

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation? Let "c" represent the # of people who ordered chicken and "s" represent those who ordered steak.

a)

c + s = 6
14.80c + 17s = 91

b)

c + s = 91
14.80c + 17s = 6

c)

c + s = 6
14.80s + 17c = 91

d)

c + s = 91
14.80s+ 17c = 6

66.

Beyonce wanted to host a barbecue for Spring Break next week. A package of hot dogs cost $1.60, and a package of hamburgers costs $5. Beyonce bought a total of 8 packages of meat and spent $23 total. Write a system for this situation. Assume "x" represents # of hot dog packages and "y" represent # of hamburger packages.

a)

x + y = 8
1.60x + 5y = 23

b)

x + y = 23
1.60x + 5y = 8

c)

x + y = 8
1.60y + 5x = 23

d)

x + y = 23
1.60y + 5x = 8

67.

Enterprise charges to rent compact cars for a fixed amount per day plus a fixed amount for each mile driven. Batman rented a car for 6 days, drove it 550 miles and spent $337. Superman rented the same car for 3 days, drove for 350 miles and spent $185. Set up the system. Let "d" represent the fixed charge per day and "m" represent the cost per mile.

a)

6d + 550m = 337
3d + 350m = 185

b)

6d + 550m = 185
3d + 350m = 337

c)

6m + 550d = 337
3m + 350d = 185

d)

6m + 550d = 185
3m + 350d = 337

68.

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

a)

b)

c)

d)

69.

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

a)

b)

c)

d)

70.

Which of the following linear inequalities represents the graph?

a)

$y\ge3$

b)

$x\ge3$

c)

$y\le3$

d)

$y<3$

71.

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

a)

Solution

b)

Not a solution

72.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

73.

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)

74.

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

75.

Simplify.

a)

10x⁹

b)

24x¹⁴

c)

24x⁹

d)

10x¹⁴

76.

Simplify.

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

77.

Simplify.

a)

3h^1.25

b)

3h⁸⁰

c)

12h²

d)

3h²

78.

Simplify.

a)

-4x²y

b)

4x²y

c)

-4x⁸y³

d)

-4x³y²

79.

Simplify:

a)

9a⁶

b)

3²a⁴

c)

8a⁴

d)

8a⁶

80.

Simplify.

-4a^-2 ⋅ 2ab³

a)

b)

c)

d)

81.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

82.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

83.

Simplify by combining like terms:
4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

84.

Multiply: 5a²(7a³- 4a² + a - 2)

a)

35a⁵ - 20a⁴ + 5a³ - 10a²

b)

12a⁵ - 9a⁴ +5a³ - 7a²

c)

35a⁶ -20a⁴ + 5a² - 10

85.

$\left(x\ +\ 4\right)\left(x\ +\ 8\right)$ Multiply:

a)

$x^2\ +\ 12x\ +\ 32$

b)

$32x^2$

c)

$x^2\ +\ 32$

86.

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

a)

$6x^2\ +\ 13x\ +\ 6$

b)

$6x^2\ +\ 6$

c)

$5x^2\ +10x\ +5$

87.

What is the name of a polynomial with only one term?

a)

monomial

b)

binomial

c)

trinomial

d)

linear

88.

What is the name of a polynomial with two terms?

a)

monomial

b)

binomial

c)

trinomial

d)

quadratic

89.

What is the name of a polynomial with three terms?

a)

monomial

b)

binomial

c)

trinomial

d)

cubic

90.

What is the name of a polynomial with four or more terms?

a)

monomial

b)

binomial

c)

cuatromial

d)

polynomial

91.

What is the name of the degree of a monomial that does not have a variable?
( ex. 511 )

a)

constant

b)

linear

c)

quadratic

d)

cubic

92.

a)

5p²- 16p

b)

5p + 4

c)

5p - 4

d)

5p + 4p

93.

Divide the polynomial by the monomial.

a)

2x⁸-8x²-28x

b)

2x⁸-2x²-7x

c)

8x⁷-8x-28x

d)

2x⁷-2x -7

94.

What is the GCF of this expression:

14r^{22}+7r^{22}

a)

$7r^{22}$

b)

15

c)

No GCF

95.

What is the GCF of this expression:

10x^2-5

a)

10

b)

x

c)

5

96.

Which of the following is equivalent to

4r^5+2r^3

a)

$r^3\left(4r^2+2\right)$

b)

$2r^3\left(2r^2+1\right)$

c)

There is no GCF

97.

Factor completely.

x^2+8x-9

a)

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

b)

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

c)

$\left(x-9\right)\left(x+1\right)$

d)

$\left(x-1\right)\left(x+9\right)$

98.

Factor completely.

2x^2-3x-14

a)

$\left(x+7\right)\left(2x-3\right)$

b)

$\left(2x+2\right)\left(x-7\right)$

c)

$\left(2x-7\right)\left(x+2\right)$

d)

$\left(x-14\right)\left(x+1\right)$

99.

Factor Completely

x^2-49

a)

$\left(x+7\right)\left(x-7\right)$

b)

$7\left(x-7\right)$

c)

$\left(x-7\right)\left(x-7\right)$

d)

$x\left(x-7\right)$

100.

Factor Completely:

k⁴ - 10k² - 39

a)

(k² - 13)(k² + 3)

b)

(k - 13)(k + 3)

c)

(k² + 15)(k² - 3)

d)

(k + 13)(k - 3)

Algebra 1 REVIEW Quiz

Total questions: 100

Worksheet time: 4hrs 33mins

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