Algebra - Semester 2 Final

Algebra - Semester 2 Final

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Section 1

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rational expression

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Cards (63)

Section 1

(50 cards)

rational expression

Front

an algebraic fraction whose numerator and denominator are polynomials

Back

radical expression

Front

an expression that contains a square root

Back

Fundamental Counting Principle

Front

Uses multiplication of the number of ways each event in an experiment can occur to find the number of possible outcomes in a sample space.

Back

perfect square

Front

a number that is the square of an integer

Back

a quadratic equation has two real solutions if...

Front

the discriminant is > 0

Back

a quadratic equation has no real solutions if...

Front

the discriminant < 0

Back

axis of symmetry formula

Front

Back

negative exponents

Front

flip to the other side of the fraction and turn positive

Back

vertex of a parabola

Front

highest or lowest point of the parabola

Back

radical equation

Front

an equation that has a variable in the radicand

Back

factorial (!)

Front

the product of an integer and all the integers below it

Back

permutation (nPr)

Front

an arrangement of objects when the order of the objects IS important

Back

Radical Function

Front

y = a√x-h + k where (h,k) is the vertex

Back

quadratic formula

Front

Back

binomial

Front

A polynomial with two terms

Back

Vertex Form of a Quadratic Function

Front

where (h,k) is the vertex

Back

a parabola has a maximum if...

Front

it opens down

Back

when finding the power of a product...

Front

"distribute" the power to everything inside

Back

Standard Form of a Quadratic Equation

Front

Back

parabola

Front

The U-shaped graph of a quadratic function

Back

probability

Front

# of favorable outcomes / # of total possible outcomes

Back

degree of a polynomial

Front

the greatest degree of any term in the polynomial

Back

degree of a monomial

Front

the sum of the exponents of the variables in the monomial

Back

a parabola opens down if...

Front

a < 0

Back

odds against

Front

# of unfavorable outcomes / # of favorable outcomes

Back

scientific notation

Front

a method of expressing a quantity as a number (between 1 & 10) multiplied by 10 to the appropriate power

Back

when raising a power to another power...

Front

multiply the exponents

Back

discriminant formula

Front

determines how many solutions a quadratic equation will have

Back

domain

Front

included x-values of a function

Back

exponential function

Front

y = a*b^x

Back

when dividing powers with the same base...

Front

subtract the exponents

Back

radicand

Front

The expression under the radical sign

Back

extraneous solution

Front

a number that does not satisfy the original equation

Back

range

Front

included y-values of a function

Back

trinomial

Front

A polynomial with three terms

Back

descending order

Front

when the terms of an expression are written from highest degree to lowest degree

Back

monomial

Front

A number, a variable, or a product of a number and one or more variables (1 term)

Back

when multiplying powers with the same base...

Front

add the exponents

Back

combination (nCr)

Front

an arrangement of objects when the order of the objects is NOT important

Back

odds in favor

Front

# of favorable outcomes / # of unfavorable outcomes

Back

zeros of a function

Front

x-intercepts, roots, or solutions

Back

exponential decay formula

Front

y = a(1 - r)^t a = initial amount r = rate of decay as a decimal t = time

Back

a quadratic equation has one real solution if...

Front

the discriminant = 0

Back

quadratic function

Front

Back

a parabola opens up if...

Front

a > 0

Back

value of c that completes the square

Front

(b/2)^2

Back

a parabola has a minimum if...

Front

it opens up

Back

anything to the zero power is...

Front

1

Back

excluded value of a rational expression

Front

a value that makes a rational expression undefined (makes the denominator = 0 )

Back

exponential growth formula

Front

y = a(1 + r)^t a = initial amount r = rate of growth as a decimal t = time

Back

Section 2

(13 cards)

quotient

Front

the answer to a division problem

Back

product

Front

the answer to a multiplication problem

Back

coefficient

Front

number in front of a variable

Back

difference

Front

the answer to a subtraction problem

Back

Probability of 1

Front

certain to occur

Back

Probability of 0

Front

The event is impossible

Back

Difference of Squares

Front

x² - y² = (x + y)(x - y)

Back

leading coefficient

Front

The coefficient of the term with the highest degree

Back

(x+3)^2

Front

(x+3)(x+3) = x^2 + 3x + 3x + 9 x^2 + 6x + 9

Back

Completing the Square

Front

Back

x-intercept

Front

where the graph touches the x-axis

Back

sum

Front

the answer to an addition problem

Back

y-intercept

Front

where the graph touches the y-axis

Back