Vocabulary Used in Math Algebra

List of algebra vocabulary.Click the below words to see the vocabulary explanation.



1) What is SUM

The answer to an addition problem

Example:

4 + 5 = 9

The sum is 9.

2) What is DIFFERENCE

The answer to a subtraction problem

Example:

8 - 2 = 6

The difference is 6

3) What is PRODUCT

The answer to a multiplication problem

Example:

3 × 4 = 12

The product is 12

4) What is QUOTIENT

The answer to a division problem

Example:

18 ÷ 6 = 3

The quotient is 3

5) What is ESTIMATE

An answer that is close to the real answer; to quickly perform an approximation

Example:

28.7 + 42.25 ≈ 30 + 40 = 70

The estimate is 70

6) What is COMPATIBLE NUMBERS

Numbers that can be divided evenly; useful in estimating quotients

Example:

27.2 ÷ 4.14 ≈ 28 ÷ 4 = 7

28 and 4 are compatible numbers

7) What is PROPER FRACTION

A fraction that represents a positive number that has a value less than 1 (denominator is larger than numerator)

Example:

3/4 is a proper fraction

8) What is IMPROPER FRACTION

A fraction that represents a positive number that has a value more than 1 (numerator is larger than denominator)

Example:

7/6 is a improper fraction

9) What is EQUIVALENT FRACTION

A fraction that has the same value as a given fraction

Example:

2/3 and 4/6 are equivalent fractions.

10) What is SIMPLEST FORM

An equivalent fraction for which the only common factor of the numerator and denominator is 1

Example:

The simplest form of the fraction 20/30 is 2/3

11) What is MIXED NUMBER

The sum of a whole number and a fraction

Example:

3 1/4 is a mixed number.

12) What is RECIPROCAL

A number that can be multiplied by another number to make 1 (numerator and denominator are switched)

Example:

8/3 is the reciprocal of 3/8 because 8/3 × 3/8 = 1

13) What is PERCENT

A ratio that compares a number to 100

Example:

25% is a percent that represents 25/100 = 1/4

14) What is SEQUENCE

A set of numbers that follow a pattern

Example:

4, 6, 8, 10, 12...is a sequence of numbers

15) What is ARITHMETIC SEQUENCE

A sequence where each term is found by adding or subtracting the exact same number to the previous term

Example:

4, 6, 8, 10, 12...is an arithmetic sequence (add 2)

16) What is GEOMTRIC SEQUENCE

A sequence where each term is found by multiplying or dividing by the exact same number to the previous term

Example:

2, 6, 18, 54, 162...is a geometric sequence (multiply 3)

17) What is GROUPING SYMBOLS

A group of math symbols

Example:

(parenthesis), [brackets], {braces}

18) What is ORDER OF OPERATIONS

the procedure to follow when simplifying a numerical expression

Example:

1/ Grouping symbols

2/ Exponents

3/ Multiplication and Division (from left to right)

4/ Addition and Subtraction (from left to right)

19) What is NUMERICAL EXPRESSION

A mathematical phrase that contains numbers and operation symbols

Example:

14 + 8 × 4 - 21

20) What is VARIABLE EXPRESSION

A mathematical phrase that contains variables, numbers, and operation symbols

Example:

45 - (x + 3y)

21) What is EVALUATE

To replace variables with numbers and then simplify an expression

Example:

To evaluate 4x + 10 when x = 3, replace x with 3 and simplify: 4(3) + 10 = 12 + 10 = 22

22) What is ABSOLUTE VALUE

The distance a number is from zero on the number line

Example:

|-3| = 3; The absolute value of -3 is 3.

23) What is OPPOSITES

Pairs of numbers that have the same absolute value

Example:

4 and -4 are opposites because they are 4 units from 0

24) What is INTEGERS

The set of numbers that includes whole numbers and their opposites

Example:

1, 2 ,3 ..

25) What is X-AXIS

The horizontal number line that, together with the y-axis, establishes the coordinate plane

26) What is Y-AXIS

The vertical number line that, together with the x-axis, establishes the coordinate plane

27) What is COORDINATE PLANE

Plane formed by two number lines (the horizontal x-axis and the vertical y-axis) intersecting at their zero points

28) What is QUADRANT

one of four sections on the coordinate plane formed by the intersection of the x-axis and the y-axis

29) What is ORDERED PAIR

A pair of numbers that gives the location of a point in the coordinate plane. Also referred to as the coordinates of a point

Example:

The ordered pair (3, 2) describes the location that is found by moving 3 units to the right of zero on the x-axis and then 2 units up from the x-axis.

30) What is ORIGIN

The intersection of the x-axis and the y-axis on the coordinate plane

Example:

The origin is described by the ordered pair (0,0).

31) What is X-COORDINATE

The number that indicates the position of a point to the left or right of the y-axis

Example:

The 4 in (4,3) is the x-coordinate, and tells you to move 4 places to the right of the y-axis

32) What is Y-COORDINATE

The number that indicates the position of a point above or below the x-axis

Example:

The 3 in (4,3) is the y-coordinate, and tells you to move 3 places above the x-axis

33) What is EQUATION

A mathematical sentence that uses an equals (=) sign to indicate that the side to the left of the equals sign has the same value as the side to the right of the equals sign

Example:

The equation x + 4 = 10 has a solution of x = 6.

34) What is INVERSE OPERATION

Operations that undo each other

Example:

Addition and subtraction are inverse operations. Multiplication and division are also inverse operations.

35) What is INEQUALITY

a mathematical sentence that uses a symbol(<, >, =, =, ?) to indicate that the left and right sides of the sentence hold values that are different

Example:

The inequality x > 8 has an infinite number of solutions

36) What is PERIMETER

The distance around the outside of a figure

Example:

The perimeter of a rectangle whose length is 18 feet and width is 5 feet is: 18+5+18+5 = 46 feet.

37) What is CIRCUMFERENCE

The distance around a circle

Example:

The circumference of a circle whose radius is 4 inches is: 2π(4) = 8p inches or approximately 25.12 inches.

38) What is AREA

The number of square units inside a 2-dimensional figure

Example:

The area of a rectangle whose length is 18 feet and width is 5 feet is: 18×5 = 90 square feet.

39) What is VOLUME

The number of cubic units inside a 3-dimensional figure

Example:

The volume of a rectangular prism whose length is 10 feet, width is 4 feet, and height is 2 feet is: 10×4×2 = 80 cubic feet.

40) What is RADIUS

A line segment that runs from the center of the circle to somewhere on the circle

41) What is CHORD

A line segment that runs from somewhere on the circle to another place on the circle

42) What is DIAMETER

A chord that passes through the center of the circle

43) What is CENTRAL TENDENCY

an attempt to find the average or central value of a given set of data.

Example:

In statistics, there are three main measures of centraltendency: MEAN, MEDIAN, MODE

44) What is MEAN

The sum of the data items divided by the number of data items

Example:

The mean of (16, 10, 13, 11, 10) is 60/5 = 12.

45) What is MEDIAN

The middle data item found after sorting the data items in ascending order; could be the mean of two middle numbers if the data set has an even number of items

Example:

The median of (10, 10, 11, 13, 16) is 11.

46) What is MODE

The data item that occurs most often; there could be no mode, one mode, or multiple modes

Example:

The mode of (10, 10, 11, 13, 16) is 10

47) What is RANGE

The difference between the highest and the lowest data item

Example:

The range of (10, 10, 11, 13, 16) is 16 - 10 = 6.

48) What is OUTLIER

A data item that is much higher or much lower than all the other data items

Example:

The outlier of (2, 3, 5, 5, 6, 7, 10, 45) is 45.

49) What is RATIO

A comparison of two quantities by division

Example:

The ratio of students to faculty members at a given university is 16:1 (also 16 to 1...or 16/1)

50) What is RATE

A ratio that compares quantities measured in different units

Example:

The students typing rate was 200 words per 6 minutes.

51) What is UNIT RATE

A rate that has a denominator of 1

Example:

The unit rate describing his speed was 14 meters per second.

52) What is PROPORTION

A statement (equation) showing two ratios to be equal

Example:

3/4 = 9/12 is a proportion

53) What is CONGRUENT FIGURES

Figures that have the same size AND same shape

54) What is SIMILAR FIGURES

Figures that have the same shape BUT different size. The corresponding sides of similar figures are proportional in length

55) What is SCALE DRAWING

An enlarged or reduced drawing that is similar to an actual object or place

56) What is SCALE DRAWING

The ratio of the model distance to the actual distance

Example:

The scale on the map is 1 in. to 25 mi.

57) What is OUTCOMES

Possible results of action

58) What is EVENT

An outcome or a group of outcomes

59) What is COMPLEMENT of an event

The opposite of the event

60) What is PROBABILITY

A ratio that explains the likelihood of an event

61) What is THEORETICAL PROBABILITY

The ratio of the number of favorable outcomes to the number of possible outcomes (based on what is expected to occur).

62) What is EXPERIMENTAL PROBABILITY

The ratio of the number of times an event occurs to the number of times an experiment is done (based on real experimental data).

63) What is DISTRIBUTIVE PROPERTY

A way to simplify an expression that contains a single term being multiplied by a group of terms.

Example:

5(2x + 3) = 10x + 15

64) What is TERM

A number, a variable, or product of a number and a variable(s)

Example:

There are 3 terms in the expression: 4x + y + 2

65) What is CONSTANT

A term with no variable part (i.e. a number)

66) What is COEFFICIENT

A number that multiplies a variable

Example:

For the term 8x, the 8 is the coefficient

67) What is LIKE TERMS

Terms with the same variable part (including exponent)...like terms can be combined using the distributive property in reverse

Example:

4x + 6x = (4 + 6)x = 10x

68) What is DISCOUNT

The amount by which a price is decreased

Example:

If shoes marked at $56 have a discount of $10, the new price is now $46

69) What is MARKUP

The amount by which a price is increased

Example:

If the jacket was purchased at $25 from the manufacturer, and a $50 markup is applied, the new price is $75.

70) What is CAPACITY

Maximum quantity a container can hold when full.

71) What is CENTIMETER

A unit of length in the metric system which is equal to 0.01 meter or 1/100 of 1 meter. It is represented by "cm" in short form.

72) What is CUP

The cup is a unit of measurement for volume, used in cooking to measure liquids.

73) What is CUSTOMARY SYSTEM

A system of measurement where length is measured in inches,feet,yards,and miles.capacity in cups,pints,quarts,and gallons; weight in ounces,pounds,and tons; and temperature in degrees Fahrenheit.

74) What is DECIMETER

A metric unit of length. 1 decimeter = 10 centimeters. 10 decimeters = 1 meter.

75) What is DEKAMETER

A unit of length equal. 1 dekameter = 10 meters.

76) What is EQUAL SHARES

Having the same quantity,measure or value as another part.

77) What is FLUID OUNCE

A fluid ounce is a unit of liquid capacity equal to 1/20 of a pint or 1/160 of an Imperial gallon in the imperial system or 1/16 of a US liquid pint or 1/128 of a US gallon in the US system.

A unit of length in the customary system. 1 foot = 12 inches, 1 foot = 30.48 centimeters..

80) What is GALLON

A customary unit of volume for liquid measure. 1 gallon = 4 quarts.

81) What is GRAM

A metric unit of mass (weight). 1,000 grams = 1 kilogram .

82) What is HALF GALLON

Half of a gallon = 2 quarts (approximately 1.9 liters).

83) What is HEIGHT

A measure of how tall something is.

84) What is INCH

The smallest unit of length in the customary system. 1 inch = 2.54 centimeters.

85) What is KILOGRAM

A metric measure of mass abbreviated as kg. 1 kg = 1,000 grams.

86) What is KILOMETER

A metric unit of distance equal to 1,000 meters.

87) What is LENGTH

Length is the distance from one end to the other end of an object.

88) What is OUNCE

Imperial measure of weight. Abbreviated as oz. Equivalent to 28.35 grams.

89) What is LITER

A metric unit of volume mostly used to measure liquids. The abbreviation is L. 1 liter (L) = 1,000 milliliters (ml).

90) What is MILLILITER

A metric unit used to measure capacity,which is equivalent to 1/1,000 of 1 liter.

90) What is MASS

A measure of how much matter is in an object. Usually measured in grams, kilograms, tonnes in the metric system.

91) What is MILE

A custmoary unit of length equal to 5,280 feet. It is equal to 1.6093 km. It is a large unit that is used to denote distance between cities, length of rivers and roads.

92) What is MEASURE

Finding a number that shows the size or amount of something.

93) What is MEASURING TAPE

A measuring tape is a flexible form of ruler. It is usually a ribbon of cloth, plastic, fiber glass, or metal strip with linear-measurement markings.

94) What is TON

A metric unit for measuring mass. 1 ton = 1000 kg.

95) What is YARD

A unit of linear measurement in the customary system equal to 3 feet (36 inches).

96) What is YARDSTICK

A graduated measuring stick one yard in length.

97) What is RULLER

A ruler can be defined as a tool or device used to measure and draw straight .

98) What is PINT

A unit of measurement in the customary system. 1 pint = 0.4733L.

99) What is POUND

A unit of mass (or weight) defined as 0.454 kg.

100) What is SIZE

How big or small something is, in simple words things overall measurement and dimensions.

101) What is PARANTHESES

Parentheses or "round brackets" are the familiar ( ) symbols used in pairs to group things together or specify the order of operations in an equation.

102) What is REASONABLENESS

To be reasonable means to be as much as is appropriate or fair.

103) What is REGROUP

Regrouping is the process used in addition and subtraction. Also popularly known as carrying and borrowing.

104) What is REPEATED ADDITION

Adding the same number again and again in order to find the answer to a multiplication problem.

105) What is Stack

A pile of objects arranged on top of each other.

106) What is STANDARD FORM

Standard form is a way of writing down very large or very small numbers easily.

106) What is HIERARCHY

A preordered defined on a set.