Free Printable Algebra 1 Final Exam

1.

Check all that are Rational

a)

Irrational

b)

Integers

c)

Whole Numbers

d)

Natural Number

2.

The set of natural numbers plus a “0”

W = {0, 1, 2, 3,…}

a)

Natural Numbers

b)

Integers

c)

Irrational Numbers

d)

Whole Numbers

3.

The set of natural numbers, their negatives and 0

= {-3, -2, -1, 0, 1, 2, 3,…}

a)

Whole Numbers

b)

Integers

c)

Natural Numbers

d)

Real Numbers

4.

A subset of real numbers that are not rational or numbers whose decimal parts neither repeat nor terminate.

a)

Irrational Numbers

b)

Real Numbers

c)

Rational Numbers

d)

Integers

5.

True or False: Some of the integers are natural numbers.

a)

True

b)

False

6.

Check all that apply to this number: -4

a)

Rational

b)

Irrational

c)

Integer

d)

Whole Number

e)

Natural Number

7.

Check all that apply to this number: 45

a)

Rational

b)

Irrational

c)

Integer

d)

Whole Number

e)

Natural Number

8.

Check all that apply to this number: $\sqrt{3}$

a)

Rational

b)

Irrational

c)

Integer

d)

Whole Number

e)

Natural Number

9.

Which represents label D?

a)

Rational

b)

Irrational

c)

Integer

d)

Whole Number

e)

Natural Number

10.

Which represents label A?

a)

Rational

b)

Irrational

c)

Integer

d)

Whole Number

e)

Natural Number

11.

Number A: 3.34343434343434...

Number B: 3.14158271957392...

How would you classify number A and why would you classify it this way?

a)

Rational

b)

Irrational

c)

The decimal never repeats and never terminates

d)

The decimal terminates

e)

The decimal is repeating

12.

Number A: 3.34343434343434...

Number B: 3.14158271957392...

If you were to multiply A x B what type of number would the answer be? How do you know?

a)

Rational

b)

Irrational

c)

Rational x Irrational is Rational

d)

Rational x Irrational is Irrational

e)

Rational x Rational is Rational

13.

Any value that makes an equation true when substituted for the variable.

a)

Properties of Equality

b)

Equation

c)

Solution

d)

Variable

14.

If a = b ,

then a + c = b + c .

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

15.

If a = b, then ac = bc.

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

16.

If a = b , then b = a .

a)

Symmetric Property of Equality

b)

Commutative Property of Addition/Multiplication

c)

Associative Property of Addition/Multiplication

d)

Distributive Property

17.

(a + b) + c = a + (b + c)

(ab)c = a(bc)

a)

Symmetric Property of Equality

b)

Commutative Property of Addition/Multiplication

c)

Associative Property of Addition/Multiplication

d)

Distributive Property

18.

Which property would step #2 be labeled as?

a)

Combine Like Terms

b)

Commutative Property of Addition

c)

Subtraction Property of Equality

d)

Division Property of Equality

e)

Addition Property of Equality

19.

Which property would step #4 be labeled as?

a)

Combine Like Terms

b)

Commutative Property of Addition

c)

Subtraction Property of Equality

d)

Division Property of Equality

e)

Addition Property of Equality

20.

Which property would step #6 be labeled as?

a)

Combine Like Terms

b)

Commutative Property of Addition

c)

Subtraction Property of Equality

d)

Division Property of Equality

e)

Addition Property of Equality

21.

Two inequalities either joined by the word "and" or by the word "or"

a)

Compound Inequality

b)

Graph of an Inequality

c)

Conjunction

d)

Disjunction

22.

Two inequalities either joined by the word "or"

a)

Compound Inequality

b)

Graph of an Inequality

c)

Conjunction

d)

Disjunction

23.

Which inequality symbol best fits the verbal phrase:

"X is no more than 7"

a)

b)

c)

d)

24.

Which inequality symbol best fits the verbal phrase:

"X is less than 7"

a)

b)

c)

d)

25.

Which inequality symbols are represented by an open circle?

a)

b)

c)

d)

26.

How many solutions do equations have?

a)

Infinitely many

b)

One

c)

None

d)

A few

27.

What happens to the inequality symbol when you divide by a negative?

a)

The symbol goes away

b)

The symbol stays the same

c)

The symbol is flipped

d)

Nothing Happens

28.

X values may also be considered: (select all that apply)

a)

Input

b)

Output

c)

Domain

d)

Range

e)

f(x)

29.

Shows the relationship between two elements, written in a specific order using parentheses notation and a comma separating the two values.

a)

Function

b)

Ordered Pair

c)

Mapping

d)

Relation

30.

A relation in which each input is paired with exactly one output

a)

Function

b)

Ordered Pair

c)

Mapping

d)

Relation

31.

The set of all outputs for a function.

a)

Range

b)

Domain

c)

Finite

d)

Infinite

32.

A set has an unlimited number of elements.

a)

Range

b)

Domain

c)

Finite

d)

Infinite

33.

Label B of the function notation:

a)

The output variable

b)

The name of the function

c)

The input variable

d)

Equivalent to "y"

34.

A visual check to see if a graph represents a function;

a)

Mapping Diagram

b)

Table

c)

Vertical Line Test

d)

Set of ordered pairs

35.

Check all that apply to the "Y" value

a)

f(x)

b)

dependent variable

c)

range

d)

output

e)

independent variable

36.

Check all that apply to the following graph:

a)

Discrete

b)

Continuous

c)

Linear

d)

Not a function

e)

Function

37.

A graph in which the data consists of individual points that are not connected by a line or curve.

a)

Domain

b)

Continuous

c)

Range

d)

Discrete

38.

Which of the following represents the range of the graph?

a)

$-3\le x\le8$

b)

$-4.5\le y\le2.5$

c)

$-3\le y\le8$

d)

$-4.5\le x\le2.5$

39.

Which of the following represents the x intercept of the function?

a)

y = -4.5

b)

(0,-4)

c)

(3,0)

d)

y = 8

40.

Select all that apply to label (b)

a)

absolute maximum

b)

absolute minimum

c)

relative maximum

d)

relative minimum

e)

endpoint

41.

Select all that apply to label (d)

a)

absolute maximum

b)

absolute minimum

c)

relative maximum

d)

relative minimum

e)

endpoint

42.

What does this formula stand for? Select all that apply

a)

Rate of change

b)

Vertical change over horizontal change

c)

Change in y over change in x

d)

Change in x over change in y

e)

Horizontal change over vertical change

43.

Which axis is considered horizontal?

a)

x

b)

y

c)

origin

d)

length

44.

Which of the following represents horizontal change?

a)

$y_2-y_1$

b)

$x_2-x_1$

c)

d)

45.

What is the slope of the graph pictured?

a)

$-\frac{2}{3}$

b)

$-\frac{3}{2}$

c)

$\frac{2}{3}$

d)

$\frac{3}{2}$

46.

Consider the following story problem:

An Alexandria zoo membership it is $50 per year and a discounted price of $6 per visit.

What is the dependent variable?

a)

Number of years

b)

Amount of money given to the zoo

c)

Number of visits

d)

Membership fee

47.

Consider the following story problem:

An Alexandria zoo membership it is $50 per year and a discounted price of $6 per visit.

What is the rate of change and what does it represent?

a)

$50; the amount per year

b)

$6; the amount per visit

c)

$50; the amount per visit

d)

$6; the amount per year

48.

What happens to the inequality symbol when you multiply or divide by a negative?

a)

The symbol goes away

b)

The symbol stays the same

c)

The symbol is flipped

d)

Nothing Happens

49.

A line that separate the coordinate plane into two regions

a)

Axis

b)

Boundary Line

c)

Symbol

d)

Divider

50.

Inequality symbols that create a closed half - plane and all points on the line are included in the solution.

a)

b)

c)

d)

51.

Select the graph that contains an open half plane.

a)

b)

52.

Consists of two or more linear inequalities with the same variables

a)

Linear Equation

b)

System of Equations

c)

System of Inequalities

d)

Ineqaulity

53.

Restriction on the value of a variable or the value of an expression involving one or more variables

a)

Constraint

b)

Viablility

c)

Viable

d)

Nonviable

54.

Solutions that do not make sense in context to a real world situation

a)

Constraint

b)

Viablility

c)

Viable

d)

Nonviable

55.

Which coordinate point is a solution to the system of inequalities?

a)

(o,o)

b)

(2,2)

c)

(1,-3)

d)

(4,-1)

56.

The solution to the system of linear equations is...

(a)

57.

Select all the methods you can use to solve a system of equations

a)

Graphing

b)

Elimination

c)

Substitution

d)

Using a Table

e)

Desmos

58.

Lines who's graphs do not intersect

a)

System of equations

b)

Coincident Lines

c)

Parallel Lines

d)

Perpendicular Lines

59.

How many solutions does the following graph have?

a)

One solution

b)

Two solutions

c)

No solutions

d)

Infinitely many solutions

60.

How many solutions does the following graph have?

a)

One solution

b)

Two solutions

c)

No solutions

d)

Infinitely many solutions

61.

Point slope form of a linear equation

a)

y = mx + b

b)

y - y1 = m (x - x1)

c)

Ax + By = C

d)

y + x = b

62.

How many terms are in this polynomial?

2x³- 8x²+ 3x - 7

a)

7

b)

1

c)

4

d)

2

63.

The number in front of the variable is called the....

a)

exponent

b)

base

c)

coefficient

d)

fronter

64.

Which pair is an example of like terms?

a)

2a and 2b

b)

x and x²

c)

3k and 3k³

d)

y² and 2y²

65.

Select all the polynomials that are in standard form.

a)

$x^2+5x-14$

b)

$2y^4-3y+6y^2-13$

c)

$14x^5-x^3+2x$

d)

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

e)

$8x^7+4x^5-9x^3+x^4-12x$

66.

What is the constant in the polynomial
x²-2x+5?

a)

1

b)

2

c)

5

d)

0

67.

Which term best represents "A"

a)

Leading Coefficient

b)

Degree of the Polynomial

c)

Terms

d)

Constant

68.

Which term best represents "C"

a)

Leading Coefficient

b)

Degree of the Polynomial

c)

Terms

d)

Constant

69.

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

a)

monomial

b)

binomial

c)

trinomial

d)

linear

70.

What is the name of a polynomial with three terms?

a)

monomial

b)

binomial

c)

trinomial

d)

cubic

71.

√4

a)

2

b)

1

c)

3

d)

5

72.

√16

a)

4

b)

8

c)

2

d)

32

73.

√36

a)

6

b)

18

c)

7

d)

5

74.

√64

a)

8

b)

32

c)

7

d)

9

75.

√100

a)

10

b)

9

c)

11

d)

12

76.

√144

a)

12

b)

11

c)

13

d)

10

77.

√196

a)

14

b)

13

c)

15

d)

16

78.

√1

a)

1

b)

0.5

c)

3

d)

4

79.

15²

a)

196

b)

289

c)

256

d)

225

80.

7²

a)

50

b)

49

c)

14

d)

48

81.

9²

a)

18

b)

81

c)

90

d)

64

82.

8²

a)

68

b)

64

c)

16

d)

56

83.

3²

a)

6

b)

12

c)

9

d)

10

84.

2²

a)

2

b)

4

c)

5

d)

6

85.

1²

a)

1

b)

2

c)

0

d)

-1

86.

Does this graph have a maximum or a minimum?

a)

Maximum

b)

Minimum

87.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

88.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

none of these

89.

Where is the axis of symmetry for this parabola?

a)

x = −1

b)

x = 0

c)

y = 3

d)

x = −3

90.

The graph of a quadratic function

a)

Axis of Symetry

b)

Parent Function

c)

Parabola

d)

Vertex

91.

The y value of the vertex is considered the parabola's...

a)

Maximum or Minimum value

b)

Axis of Symetry

c)

Vertex

d)

Quadratic

92.

Domain

a)

X values of a graph

b)

Y values of a graph

c)

Shift of a graph

d)

Change of a graphs shape

93.

The line that passes through the vertex of a parabola and divides the parabola into two symmetrical parts

a)

Vertex

b)

Axis of Symetry

c)

Parent function

d)

Transfomation

94.

Change in the position, size, or shape of a parent graph

a)

Translation

b)

Transformation

c)

Vertex

d)

Reflection

Algebra 1 Final Exam

Total questions: 94

Worksheet time: 54mins

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