Free Printable Algebra I EOC Review

1.

In a linear function, f(x) is the

a)

input

b)

output

c)

y-value

d)

x-value

2.

Any function with a constant rate of change where x is only raised to the first power

a)

Linear Function

b)

Quadratic Function

c)

Exponential Function

3.

y = mx + b

a)

Slope-Intercept Form

b)

Standard Form

c)

Exponential Form

d)

Quadratic Form

4.

Ax + By = C

a)

Slope-Intercept Form

b)

Standard Form

c)

Exponential Form

d)

Quadratic Form

5.

$ax^2+bx+c=0$

a)

Slope-Intercept Form

b)

Standard Form

c)

Exponential Form

d)

Quadratic Form

6.

Slope: $y=2x+4$

a)

m

b)

2

c)

b

d)

4

7.

Finding slope in slope-intercept form:

a)

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

b)

slope = $-\frac{A}{B}$

c)

x = $\frac{-b}{2a}$

d)

$b^2-4ac$

8.

Finding slope in standard form:

a)

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

b)

slope = $-\frac{A}{B}$

c)

x = $\frac{-b}{2a}$

d)

$b^2-4ac$

9.

Parent linear function

a)

$f\left(x\right)=a\left(x-h\right)^{ }+k$

b)

$f\left(x\right)=a\left(x-h\right)^2+k$

c)

$ax^2+bx+c=0$

d)

$Ax+By=C$

10.

Parent linear function

a)

$f\left(x\right)=a\left(x-h\right)^{ }+k$

b)

$f\left(x\right)=a\left(x-h\right)^2+k$

c)

$ax^2+bx+c=0$

d)

$Ax+By=C$

11.

(h, k)

a)

vertex

b)

axis of symmetry

c)

indicates a stretch or shrink

d)

determines a shift

12.

x value of the vertex

a)

(h, k)

b)

axis of symmetry

c)

indicates a stretch or shrink

d)

determines a shift

13.

Finding an arithmetic sequence: if you know the previous term

a)

Recursive

b)

Explicit

c)

$a_n=a_{n-1}+d$

d)

$a_n=a_1+\left(n-1\right)d$

14.

Finding an arithmetic sequence: if you DO NOT know the previous term

a)

Recursive

b)

Explicit

c)

$a_n=a_{n-1}+d$

d)

$a_n=a_1+\left(n-1\right)d$

15.

$a_n=a_{n-1}+d$

the 10th number in the series

a)

$a_n=10$

b)

$a_{n-1}=10$

c)

$d=10$

d)

$a=10$

16.

1, 5, 9, 13...

$a_1=$

a)

1

b)

4

c)

5

d)

9

17.

1, 5, 9, 13...

$d=$

a)

1

b)

4

c)

5

d)

9

18.

1, 5, 9, 13...

$d=$

a)

1

b)

4

c)

5

d)

9

19.

$a_n=a_1+\left(n-1\right)d$

1, 5, 9, 13,...

What is the 100th term in the sequence?

a)

400

b)

397

c)

100

d)

130

20.

$a_n=a_1+\left(n-1\right)d$

7, 17, 27, 37,...

What is the 97th term in the sequence?

a)

96

b)

967

c)

9670

d)

97601

21.

What is the shape of this function:

$f\left(x\right)=x^2$

a)

Parabola

b)

Straight Line

c)

An S shape

d)

J Curve

22.

What is the shape of this function:

$f\left(x\right)=x^{ }$

a)

Parabola

b)

Straight Line

c)

An S shape

d)

J Curve

23.

What is the shape of this function:

$f\left(x\right)=x^{ }$

a)

Parabola

b)

Straight Line

c)

An S shape

d)

J Curve

24.

What is the shape of this function:

$f\left(x\right)=4^x$

a)

Parabola

b)

Straight Line

c)

An S shape

d)

J Curve

25.

Write this equation in standard form: $f\left(x\right)=2\left(x-3\right)^2+4$

a)

$f\left(x\right)=2x^2-12x+22$

b)

$f\left(x\right)=2\left(x-3\right)\left(x+3\right)+4$

c)

$f\left(x\right)=2\left(x^2+6x-9\right)+4$

d)

$f\left(x\right)=x^2-6x+11$

26.

Axis of symmetry of a quadratic function

a)

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

b)

x = $-\frac{A}{B}$

c)

x = $-\frac{b}{2a}$

d)

$x=b^2-4ac$

27.

Exponential Growth - putting money into an interest-bearing account

a)

$y=P\left(1+r\right)^t$

b)

$y=P\left(1-r\right)^t$

c)

$y=P\left(1+\frac{r}{n}\right)^{nt}$

d)

$y=P\left(1-\frac{r}{n}\right)^{nt}$

28.

Exponential Decay - deer population is decreasing

a)

$y=P\left(1+r\right)^t$

b)

$y=P\left(1-r\right)^t$

c)

$y=P\left(1+\frac{r}{n}\right)^{nt}$

d)

$y=P\left(1-\frac{r}{n}\right)^{nt}$

29.

Compound interest

a)

$y=P\left(1+r\right)^t$

b)

$y=P\left(1-r\right)^t$

c)

$y=P\left(1+\frac{r}{n}\right)^{nt}$

d)

$y=P\left(1-\frac{r}{n}\right)^{nt}$

30.

$f\left(x\right)=a\ \sqrt[]{x-h}+k$

a)

b)

c)

d)

31.

$f\left(x\right)=a\ \left|x-h\right|+k$

a)

b)

c)

d)

32.

$f\left(x\right)=\sqrt[3]{x}$

a)

b)

c)

d)

33.

How does the following characteristic impact a graph?

a < 0

a)

reflection across the x-axis

b)

reflection across the y-axis

c)

horizontal shift

d)

vertical shift

34.

How does the following characteristic impact a graph?

h = -3

a)

reflection across the x-axis

b)

reflection across the y-axis

c)

horizontal shift

d)

vertical shift

35.

How does the following characteristic impact a graph?

0 < a < 1

a)

vertical shrink

b)

vertical stretch

c)

horizontal shift

d)

vertical shift

36.

How does the following characteristic impact a graph?

a > 1

a)

vertical shrink

b)

vertical stretch

c)

horizontal shift

d)

vertical shift

37.

Which transformations have occurred?

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

a)

horizontal shift

b)

vertical shift

c)

vertical shrink

d)

vertical stretch

38.

Which transformations have occurred?

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

a)

shift 3 down

b)

shift 2 left

c)

shift 2 right

d)

shrink by a factor of 5

39.

$a^m\times a^n$

a)

keep the base, add the exponents

b)

keep the base, subtract the exponents

c)

keep the base, multiply the exponents

d)

add the base, add the exponents

40.

$\frac{a^m}{a^n}$

a)

keep the base, add the exponents

b)

keep the base, subtract the exponents

c)

keep the base, multiply the exponents

d)

add the base, add the exponents

41.

$\left(a^m\right)^n$

a)

keep the base, add the exponents

b)

keep the base, subtract the exponents

c)

keep the base, multiply the exponents

d)

add the base, add the exponents

42.

$\frac{1}{a^m}$

a)

$a^{-m}$

b)

$a^m$

c)

$1a^m$

d)

$\frac{a^m}{1}$

43.

$\frac{8}{\sqrt[7]{x^{15}}}$

a)

$8x^{-\frac{15}{7}}$

b)

$8x^{\frac{15}{7}}$

c)

$\frac{8x}{15^7}$

d)

$\frac{8^{\frac{15}{7}}}{x}$

44.

$x^0$

a)

0

b)

x

c)

1

45.

The middle of the data points when lined up from least to greatest.

a)

Median

b)

Mean

c)

Standard Deviation

d)

Mode

46.

$\mu=\frac{sum\ of\ all\ data\ points}{number\ of\ data\ points}$

a)

Median

b)

Mean

c)

Standard Deviation

d)

Mode

47.

$\sigma$ - This symbol represents ______.

a)

Median

b)

Mean

c)

Standard Deviation

d)

Mode

48.

$\mu$ - This symbol represents ______.

a)

Median

b)

Mean

c)

Standard Deviation

d)

Mode

49.

Select the options that measure central tendency.

a)

Standard Deviation

b)

Mean

c)

Range

d)

Median

50.

Select the options that measure spread.

a)

Standard Deviation

b)

Interquartile Range (IQR)

c)

Range

d)

Median

51.

Roughly ____% of your data will fall within 1 standard deviation of the mean.

a)

34%

b)

68%

c)

27%

d)

13%

52.

Roughly ____% of your data will fall within 2 standard deviations of the mean.

a)

95%

b)

68%

c)

99.7%

d)

27%

53.

Roughly ____% of your data will fall within 3 standard deviations of the mean.

a)

2%

b)

68%

c)

99.7%

d)

27%

54.

Select the characteristic that describes this graph.

a)

Skewed left

b)

Skewed right

c)

Normal distribution

55.

Select the characteristic that describes this graph.

a)

Skewed left

b)

Skewed right

c)

Normal distribution

56.

Select the characteristic that describes this graph.

a)

Skewed left

b)

Skewed right

c)

Normal distribution

57.

Identify the type of graph.

a)

Box plot

b)

Dot plot

c)

Histogram

d)

Bar Graph

58.

Identify the type of graph.

a)

Box plot

b)

Dot plot

c)

Histogram

d)

Bar Graph

59.

Identify the type of graph.

a)

Box plot

b)

Dot plot

c)

Histogram

d)

Bar Graph

60.

Identify (A).

a)

Minimum of the data

b)

Maximum of the data

c)

Q1

d)

Q3

61.

Identify (B).

a)

Minimum of the data

b)

Maximum of the data

c)

Q1

d)

Q3

62.

Identify (D).

a)

Minimum of the data

b)

Maximum of the data

c)

Q1

d)

Q3

63.

Identify (E).

a)

Minimum of the data

b)

Maximum of the data

c)

Q1

d)

Q3

64.

Identify (C).

a)

Median

b)

Mean

c)

IQR

d)

Standard Deviation

65.

Which of the following represents the IQR.

a)

IQR = D - B

b)

IQR = E - A

c)

IQR = C

d)

IQR = B - D

66.

Difference of Two Squares

$a^2-b^2$

a)

$\left(a+b\right)\left(a-b\right)$

b)

$\left(a+b\right)\left(a+b\right)$

c)

$\left(a-b\right)\left(a-b\right)$

d)

$\left(a-b\right)^2$

67.

Perfect Square Trinomial

$a^2-2ab+b^2\ or\ a^2+2ab+b^2$

a)

$\left(a+b\right)\left(a-b\right)$

b)

$\left(a+b\right)^2$

c)

$\left(a-b\right)\left(a+b\right)$

d)

$\left(a-b\right)^2$

68.

Degree of a term

a)

Add all exponents

b)

Highest exponent

69.

Degree of a polynomial

a)

Add all exponents

b)

Highest exponent

70.

Interval Notation

a)

(lowest value, highest value)

b)

(min, max)

c)

Can include $\infty$

d)

Can include $-\infty$

71.

Characteristics of DOMAIN

a)

All possible x-values (inputs)

b)

All possible y-values (outputs)

c)

Time, distance, and dimensions should not be negative

d)

Domain of a parabola: all real numbers

72.

Characteristics of RANGE

a)

All possible x-values (inputs)

b)

All possible y-values (outputs)

c)

Time, distance, and dimensions should not be negative

d)

Range of a parabola: all real numbers

73.

Characteristics of a Quadratic

a)

Find roots, zeros, and intercepts by setting y = 0

b)

Has infinitely many solutions

c)

Will have 0, 1, or 2 solutions

d)

Creates a U-shaped parabola

74.

Time Formula

a)

$t=\frac{d}{r}$

b)

$t=\frac{r}{d}$

c)

$t=rd$

d)

$t=dr$

75.

Distance Formula

a)

$d=\frac{t}{r}$

b)

$d=\frac{r}{t}$

c)

$d=rt$

76.

Parallel Lines $\parallel$

a)

Same

slope

b)

Different

y-intercept

c)

Different

slope

d)

Same

y-intercept

77.

Perpendicular Lines $\perp$

a)

Same

slope

b)

Slope =

opposite reciprocal

c)

Same

y-intercept

d)

Intersect at

right angles

78.

Select all true statements about functions.

a)

Pass the horizontal line test

b)

Every input can have only one output

c)

Graph could be a parabola or a straight line

d)

Pass the vertical line test

Algebra I EOC Review

Total questions: 78

Worksheet time: 42mins

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