m ath v ocabulary 2 nd period mrs. rhine by: kassy

MATH VOCABULARY2nd Period

Mrs. Rhine

By: Kassy

LINEAR EQUATIONS

•An algebraic equation in which each term is either a constant or the product of a constant and a single variable.

Any equation such that the sum of two solutions is a solution, and a constant multiple of a solution is a solution.

FUNCTION

A relationship in which every input is paired with exactly one output.

A special type of relation that pairs each domain value with exactly one output value.

FUNCTION NOTATION

A notation that describes a function. For a function ƒ, when x is a member of the domain, the symbol ƒ(x) denotes the corresponding member of the range.

Use the symbol f (x) to mean the function whose input is x. “ f(x)” is read “f of x” and means that the value of the function depends on the value of x. f(x) is the output (dependent variable) of the function with input (independent variable) x.

DOMAIN

The set of all possible input values of a relation or function.

The domain is the set of all the first numbers of the ordered pairs. In other words, the domain is all of the x-values.

PEMDAS• P----- Parenthesis ( )• E----- Exponents 2²• M----- Multiply *• D------ Divide /• A------ Add +• S------ Subtract -

RANGE The biggest number subtracts the smallest

number. The range is the set of the second numbers in each

pair, or the y-values. The difference of the greatest and least values in

the data set.

RELATIONS

A set of ordered pairs.

INDEPENDENT VARIABLE

The input of a function is the Independent Variable.

DEPENDENT VARIABLE

The output of a function is the dependent variable. The value of the dependent variable depends on or is a function of, the independent variable.

PERIMETER

Square- All sides added up except a circle. Formula: 4s

Rectangle- The sum of two lengths plus two widths.

Formula- P= 2l + 2w or P= 2(l + w)

WORD PROBLEM…..PERIMETER

Marissa needs to find the PERIMETER of her rectangular fence. If the width is 5 inches and the length is 10 inches, what is the perimeter?

5 inches A) 50 B) 15 10 inches

C) 30 D) 10

CIRCUMFERENCE

The perimeter around the outside of a circle. Two times pi times the radius or pi times

diameter. = 3.14 Formula: C= 2r or C= d

WORD PROBLEM….. CIRCUMFERENCE

Josue wants to find the circumference of his pizza before he eats it. If the radius is 3 then what is the circumference?

C = 2r

A) 18.84 B) 20 C) 18 D) 6

3

AREA

Square- one side times another. Formula- s²

Rectangle- length times width or base times height Formula- l∙w or b∙h

Triangle- base times height divided by 2 Formula- ½ bh

WORD PROBLEM…. AREA

Ms. Rhine wants to make a homemade rectangular picture frame. If the length is 12 inches and the width is 6 inches, what is the area?

A = l∙w 12 inches A) 18 B) 72 C) 27 D) 12

A = ? 6 inches

•P represents the Perimeter of the Base of a three-dimensional figure.

•B represents the Area of the Base of a three-dimensional figure.

SURFACE AREA

The sum of all the areas of all the shapes that cover the surface of the object.

Cube(total) - S= 6s²

Prism (lateral)- S=Ph Prism(total)- S=Ph+2B

SURFACE AREA Pyramid (lateral)- S= ½ Pl Pyramid (total)- S= ½ Pl+B

Cylinder (lateral)- S= 2rh Cylinder (total) - S= 2rh+ 2r² or 2r(h+r)

WORD PROBLEM…. SURFACE AREA

Sam has a cube. He wants to know the surface area of the whole cube. What is the surface are if the formula is S= 6s² ? The side of one face is 8 inches.

A) 184 B) 36 C) 48 D) 384

8 inches

VOLUME

The amount of space an object takes up Prism = V= Bh

Cylinder = V= Bh

Pyramid = V= 1/3 Bh

Sphere = V= 4/3r³

WORD PROBLEM…. VOLUME

Cody has a can shaped like a cylinder. He wants to know the volume of the can. If the formula is B· h, and the bas is 5 and the height is 15, what is the volume?

A) 20 B) 25 C) 75 D) 15 15

5

PYTHAGOREAN THEOREM

A mathematical proven statement which states that the square of the length of the right triangle is equal to the sum of the squares of those of the hypotenuse 2 other sides.

Hypotenuse: The side of a right triangle opposite the right angle

SIMPLE INTEREST FORMULA

Calculating Interest; Principal, Rate and Time.

I

P R T

PI

= 3.14