ECHS Algebra I Test 13
Terms in this set (42)
terms that contain the same variables raised to the same power. Only the numerical coefficients are different.
a number or quantity placed (generally) before and multiplying another quantity, as 3 in the expression 3x
Example of the product rule for exponents
Example of the quotient rule for exponents
x⁸/x³ = x⁵
Example of the power rule for exponents
(x⁵)² = x¹⁰
A polynomial equation of the first degree whose graph is a line.
Rate of change
Another name for slope. 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 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
the amount added to the cost to determine the retail price
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
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.
The coefficient of the leading term of a polynomial in standard form.
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
Lines in the same plane, i.e. coplanar, which do not intersect are called ___________________.
Perfect Square Trinomial a² - 2ab + b² PST
results from expanding (a - b)²
Perfect Square Trinomial a² + 2ab + b² PST
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.
A situation when one value increases and the other value decreases. y = k/x k≠0
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 DOTS
results from expanding (a - b)(a + b)
Given two lines with the same slope and different y-intercepts, you know the lines are?
Given two lines with the same slope and the same y-intercepts, you know the lines are?
Given two lines with different slopes and/or different y-intercepts, you know the lines are?
Given two lines with opposite reciprocal slopes, you know the lines are?
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)
Lines which are not in the same plane, i.e. non-coplanar, which do not interesect are called ______________.
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