45 terms

ECHS-MrsZTEACHER

like terms

terms that contain the same variables raised to the same power. Only the numerical coefficients are different.

coefficient

a number or quantity placed (generally) before and multiplying another quantity, as 3 in the expression 3x

a⁻ⁿ =

1/aⁿ

Example of the product rule for exponents

x³y²x³y⁵= x⁶y⁷

Example of the quotient rule for exponents

x⁸/x³ = x⁵

Example of the power rule for exponents

(x⁵)² = x¹⁰

Linear Equation

A polynomial equation of the first degree whose graph is a line.

arithmetic sequence

a sequence of numbers that has a common difference between every two consecutive terms

geometric sequence

a sequence of numbers that has a common ratio between every two consecutive terms

Rate of change

A value that results from dividing the change in a function (y-values) of a variable by the change in the variable (x-values). It is another name for slope.

Slope

It is generally represented by m, and defined as the change in y divided by the corresponding change in x. Rise over Run

Volume of a cube

V = s³

Volume of a cylinder

V = π r² h

Volume of a rectangular prism

V = Bh

Markup

the amount added to the cost to determine the retail price

Discount

the amount subtracted from the cost to determine a new selling price

Linear Equation - Slope-intercept form

y = mx + b

Linear Equation - Point-slope form

y - y₁ = m (x - x₁)

Linear Equation - Standard form

Ax + By = C where A, B, and C are real numbers

Excluded value

a value for which an expression is undefined

Standard form of a polynomial is

ordering the terms from those with the highest power, to the lowest power.

Lead Coefficient

The coefficient of the leading term of a polynomial in standard form.

Box-and-whisker Plot

a graphic way to display the median, quartiles, and extremes of a data set on a number line to show the distribution of the data

Stem and Leaf Plot

A display where the data is organized by place value, very useful if you need to find the mean, median, or mode of the data set. The data is divided in to two parts.

Inner Quartile Ratio (IQR)

The difference between Quartile 3 and Quartile 1

Parallel Lines

Lines in the same plane, i.e. coplanar, which do not intersect are called ___________________.

Perfect Square Trinomial a² - 2ab + b²

results from expanding (a - b)²

Perfect Square Trinomial a² + 2ab + b²

results from expanding (a + b)²

Graph for a Direct Variation

This graph will be a line which must go through the origin

FOIL - First Outer Inner Last

a technique used to multiply two binomials

Graph for an Inverse Variation

This graph will be a hyperbola which has vertical and horizontal asymptotes. A hyperbola has two branches. They are mirror images of one another.

Inverse Variation

A situation when one value increases and the other value decreases. y = k/x k≠0

Direct Variation

A situation when one value increases as the other vaule increases or as one decreases the other decreases. y = kx k≠0

Difference of two squares a² - b²

results from expanding (a - b)(a + b)

Given two lines with the same slope and different y-intercepts, you know the lines are?

Parallel Lines

Given two lines with the same slope and the same y-intercepts, you know the lines are?

Coinciding Lines

Given two lines with different slopes and/or different y-intercepts, you know the lines are?

Intersecting Lines

Given two lines with opposite reciprocal slopes, you know the lines are?

Perpendicular Lines

Pythagorean Theorem

a² + b²= c² where a & b are legs of a right triangle and c is the hypoteneuse

Area of a square

A = s²

Area of a rectangle

A = lw

Area of a parallelogram

A = bh

Area of a triangle

A = ½bh

Area of a trapezoid

A = ½h(b₁+ b₂)

Skew Lines

Lines which are not in the same plane, i.e. non-coplanar, which do not interesect are called ______________.