Free Printable Algebra 1 Midterm Vocab Test

1.

A mathematical statement that shows that two expressions are equal.

a)

Properties of Equality

b)

Equation

c)

Solution

d)

Variable

2.

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

a)

Properties of Equality

b)

Equation

c)

Solution

d)

Variable

3.

State that you can perform the same operation on both sides of an equation without affecting the solution.

a)

Properties of Equality

b)

Equation

c)

Solution

d)

Variable

4.

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

5.

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

6.

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

7.

If a = b ,

then a ÷ c = b ÷ c,

when c ≠ 0.

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

8.

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

9.

a + b = b + a

ab = ba

a)

Symmetric Property of Equality

b)

Commutative Property of Addition/Multiplication

c)

Associative Property of Addition/Multiplication

d)

Distributive Property

10.

(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

11.

a(b + c) = ab + ac

a)

Symmetric Property of Equality

b)

Commutative Property of Addition/Multiplication

c)

Associative Property of Addition/Multiplication

d)

Distributive Property

12.

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

13.

Which property would step #3 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

14.

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

15.

Which property would step #5 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

16.

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

17.

All the points on a number line that make the inequality true

a)

Compound Inequality

b)

Graph of an Inequality

c)

Conjunction

d)

Disjunction

18.

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

19.

Two inequalities either joined by the word "and"

a)

Compound Inequality

b)

Graph of an Inequality

c)

Conjunction

d)

Disjunction

20.

Two inequalities either joined by the word "or"

a)

Compound Inequality

b)

Graph of an Inequality

c)

Conjunction

d)

Disjunction

21.

Which inequality symbol best fits the verbal phrase:

"X is at least 7"

a)

b)

c)

d)

22.

Which inequality symbol best fits the verbal phrase:

"X is no more than 7"

a)

b)

c)

d)

23.

Which inequality symbol best fits the verbal phrase:

"X is no less 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 symbol best fits the verbal phrase:

"X is greater than 7"

a)

b)

c)

d)

26.

Which inequality symbols are represented by an open circle?

a)

b)

c)

d)

27.

Which inequality symbols are represented by a closed circle?

a)

b)

c)

d)

28.

How many solutions do equations have?

a)

Infinitely many

b)

One

c)

None

d)

A few

29.

How many solutions do inequalities have?

a)

Infinitely many

b)

One

c)

None

d)

A few

30.

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

31.

A visual- representation of a relation in which an arrow associates each input with its output

a)

Function

b)

Ordered Pair

c)

Mapping

d)

Relation

32.

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

a)

Input

b)

Output

c)

Domain

d)

Range

e)

f(x)

33.

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

a)

Input

b)

Output

c)

Domain

d)

Range

e)

f(x)

34.

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

35.

Information that can be represented by a set of ordered pairs.

a)

Function

b)

Ordered Pair

c)

Mapping

d)

Relation

36.

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

a)

Function

b)

Ordered Pair

c)

Mapping

d)

Relation

37.

The set of all inputs for a function.

a)

Range

b)

Domain

c)

Finite

d)

Infinite

38.

The set of all outputs for a function.

a)

Range

b)

Domain

c)

Finite

d)

Infinite

39.

A set has a fixed countable number of elements.

a)

Range

b)

Domain

c)

Finite

d)

Infinite

40.

A set has an unlimited number of elements.

a)

Range

b)

Domain

c)

Finite

d)

Infinite

41.

Label A of the function notation:

a)

The output variable

b)

The name of the function

c)

The input variable

d)

Equivalent to "y"

42.

Label B of the function notation:

a)

The output variable

b)

The name of the function

c)

The input variable

d)

Equivalent to "y"

43.

Label C of the function notation:

a)

The output variable

b)

The name of the function

c)

The input variable

d)

Equivalent to "y"

44.

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

45.

Check all that apply to the "X" value

a)

input

b)

domain

c)

range

d)

output

e)

independent variable

46.

Check all that apply to the "Y" value

a)

f(x)

b)

dependent variable

c)

range

d)

output

e)

independent variable

47.

Check all that apply to the following graph:

a)

Discrete

b)

Continuous

c)

Linear

d)

Not a function

e)

Function

48.

Check all that apply to the following graph:

a)

Discrete

b)

Continuous

c)

Linear

d)

Not a function

e)

Function

49.

A graph in which the points are connected and the domain and range are a set of real numbers with no breaks in between.

a)

Domain

b)

Continuous

c)

Range

d)

Discrete

50.

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

51.

Which of the following represents the domain of the graph?

a)

$-3\le x\le8$

b)

$-4.5\le y\le2.5$

c)

$-3\le y\le8$

d)

$-4.5\le x\le2.5$

52.

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)

$-4.5\le x\le2.5$

53.

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

a)

y = -4.5

b)

(0,-4)

c)

(3,0)

d)

y = 8

54.

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

a)

y = -4.5

b)

(0,-4)

c)

(3,0)

d)

y = 8

55.

Select all that apply to label (a)

a)

absolute maximum

b)

absolute minimum

c)

relative maximum

d)

relative minimum

e)

endpoint

56.

Select all that apply to label (b)

a)

absolute maximum

b)

absolute minimum

c)

relative maximum

d)

relative minimum

e)

endpoint

57.

Select all that apply to label (c)

a)

absolute maximum

b)

absolute minimum

c)

relative maximum

d)

relative minimum

e)

endpoint

58.

Select all that apply to label (d)

a)

absolute maximum

b)

absolute minimum

c)

relative maximum

d)

relative minimum

e)

endpoint

59.

Select all that apply to label (e)

a)

absolute maximum

b)

absolute minimum

c)

relative maximum

d)

relative minimum

e)

endpoint

60.

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

61.

Which axis is considered vertical?

a)

x

b)

y

c)

origin

d)

height

62.

Which axis is considered horizontal?

a)

x

b)

y

c)

origin

d)

length

63.

Which of the following represents vertical change?

a)

$y_2-y_1$

b)

$x_2-x_1$

c)

d)

64.

Which of the following represents horizontal change?

a)

$y_2-y_1$

b)

$x_2-x_1$

c)

d)

65.

Which of the following is the correct set up of the slope formula for the points (-2, 3) & (5, -4)

a)

$\frac{\left(-4\ -\ 3\right)}{5\ -\ \left(-2\right)}$

b)

$\frac{\left(3\ -\ \left(-4\right)\right)}{5\ -\ \left(-2\right)}$

c)

$\frac{\left(5\ -\ \left(-2\right)\right)}{-4\ -\ 3}$

d)

$\frac{\left(-4\ -\ 5\right)}{3\ -\ \left(-2\right)}$

66.

What is the slope of the graph pictured?

a)

$-\frac{2}{3}$

b)

$-\frac{3}{2}$

c)

$\frac{2}{3}$

d)

$\frac{3}{2}$

67.

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 independent variable?

a)

Number of years

b)

Amount of money given to the zoo

c)

Number of visits

d)

Membership fee

68.

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

69.

Consider the following story problem:

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

Which function correctly represents this situation?

a)

$f\left(x\right)=50+6x$

b)

$f\left(x\right)=6+50x$

c)

$6x=f\left(x\right)\ +\ 50$

d)

$50=f\left(x\right)+6x$

70.

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

71.

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 slope for the function 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

72.

Check all that are Rational

a)

Irrational

b)

Integers

c)

Whole Numbers

d)

Natural Number

73.

The set of counting numbers which is also a subset of real number

= {1, 2, 3, 4, …}

a)

Real Number

b)

Rational Number

c)

Natural Number

d)

Integer

74.

The set of natural numbers plus a “0”

W = {0, 1, 2, 3,…}

a)

Natural Numbers

b)

Integers

c)

Irrational Numbers

d)

Whole Numbers

75.

A subset of real number that can be written as a quotient p/q where p and q are integers and q is not 0.

a)

Real Numbers

b)

Rational Numbers

c)

Irrational Numbers

d)

Whole Numbers

76.

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

77.

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

78.

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

79.

True or False: Zero is a counting number.

a)

True

b)

False

80.

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

a)

True

b)

False

81.

True or False: All rational numbers are integers.

a)

True

b)

False

82.

Check all that apply to this number: -4

a)

Rational

b)

Irrational

c)

Integer

d)

Whole Number

e)

Natural Number

83.

Check all that apply to this number: 0

a)

Rational

b)

Irrational

c)

Integer

d)

Whole Number

e)

Natural Number

84.

Check all that apply to this number: 45

a)

Rational

b)

Irrational

c)

Integer

d)

Whole Number

e)

Natural Number

85.

$\sqrt{36}$

a)

Rational

b)

Irrational

c)

Integer

d)

Whole Number

e)

Natural Number

86.

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

a)

Rational

b)

Irrational

c)

Integer

d)

Whole Number

e)

Natural Number

87.

Which represents label B?

a)

Rational

b)

Irrational

c)

Integer

d)

Whole Number

e)

Natural Number

88.

Which represents label D?

a)

Rational

b)

Irrational

c)

Integer

d)

Whole Number

e)

Natural Number

89.

Which represents label C?

a)

Rational

b)

Irrational

c)

Integer

d)

Whole Number

e)

Natural Number

90.

Which represents label A?

a)

Rational

b)

Irrational

c)

Integer

d)

Whole Number

e)

Natural Number

91.

Which represents label E?

a)

Rational

b)

Irrational

c)

Integer

d)

Whole Number

e)

Natural Number

92.

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

93.

Number A: 3.34343434343434...

Number B: 3.14158271957392...

How would you classify number B 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

94.

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

Algebra 1 Midterm Vocab Test

Total questions: 94

Worksheet time: 47mins

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