Algebra

Question 1

Variable

Answer 1

A placeholder for a number whose value may vary. (X, y, z, a, b)

Question 2

Constant

Answer 2

A numerical quantity whose value does not change

Question 3

Numerical expression

Answer 3

Any constant or combination of two or more constants joined by explicit or implied operational symbols

Question 4

Algebraic expression

Answer 4

A symbol or combination of symbols that represent a number.

Consist of one or more variables joined by one or more operations with it without constants explicitly included.

Question 5

Juxtaposition

Answer 5

When constants and variables or two or more variables are written side by side, they are products.

Question 6

Terms (in algebraic expression)

Answer 6

The parts of the expression that are connected to the other parts by plus or minus symbols.

Question 7

Monomial

Answer 7

A term that when simplified is a constant or a product of one or more variables raised to non-negative integer powers, with it without and explicit coefficient.

Question 8

Coefficient

Answer 8

The product of the other factors in a term.

Ex, the coefficient of y in 5y(x+2) is 5(x+2)

Question 9

Degree of a monomial

Answer 9

The sum of the exponents of its variables

Question 10

Like terms

Answer 10

Monomial terms that only differ in their numerical coefficients

Question 11

Numerical coefficient

Answer 11

The constant number in a term with a variable

Question 12

Polynomial

Answer 12

An algebraic expression composed of one or more monomials.

A monomial Is polynomial with only one term.

Question 13

Binomial

Answer 13

Polynomial with exactly two terms

Ex, 8xy+5

Question 14

Trinomial

Answer 14

A polynomial with exactly three terms

Ex, 16x+8x+1

Question 15

FOIL

Answer 15

First terms, Outer Terms, Inner terms, Last terms.
Used to obtain the product of two binomials.

Ex, (2x-3)(x+4)

Question 16

Perfect trinomial square

Answer 16

(X+/-y) squared

Question 17

Difference of two squares

Answer 17

(X+y)(x-y)

Question 18

Perfect cube

Answer 18

(X+/- y) cubed

Question 19

Rational expression

Answer 19

An algebraic fraction in which both the numerator and denominator are polynomials

Question 20

Complex fraction

Answer 20

A fraction that has fractions in its numerator, denominator or both

Question 21

Equation

Answer 21

A statement that two mathematicians expressions are equal

Question 22

Open sentence

Answer 22

An equation containing one or more variables

Ex, x+2=3 or x+2y=8

Question 23

Formula

Answer 23

An equation that expresses the relationship between two or more variables

Question 24

Literal equation

Answer 24

An equation with no numbers, only letters

Question 25

Fractional equation

Answer 25

One in which a variable appears in the denominator of one or more terms Ex, 1/2+1/x = 5/6 Can be converted to a quadratic equation by multiplying both sides by the lcm of the equations fractions.

Question 26

Radical equation

Answer 26

One in which the variable appears in a radical (square root)

Question 27

Exponential equation

Answer 27

One in which the variable appears in a exponent

Question 28

System

Answer 28

A set of equations with the same set of variables and are all considered simultaneously.

Question 29

Consistent system

Answer 29

A system that has a solution

Question 30

Inconsistent system

Answer 30

One without a solution

Question 31

Ordered pair

Answer 31

An x-value paired with a corresponding y-values | X, y

Question 32

Three possibilities of a system of equations

Answer 32

1. Exactly one solution. Lines intersect at the solution. 2. Infinitely many solutions. Lines have all points in common (two identical lines overlapped) 3. No solution. Lines are parallel

Question 33

Positive slope

Answer 33

When a line slopes upward to the right.

Question 34

Negative slope

Answer 34

When a line slopes downward to the right

Question 35

Horizontal line equation

Answer 35

Y=k (m=0) K stands for any constant

Question 36

Vertical line equation

Answer 36

X=h (undefined slope) H stands for any constant

Question 37

Percentage change formula

Answer 37

Percent change=(new value-old value)/old value • 100%