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# Foster-Algebra 2

### Foster's Algebra 2 SOL review

The _______ of a polynomial tells at most how many times it crosses the x-axis Degree
When solving absolute value inequalities, solve > and > as _________. OR
When solving absolute value inequalities, solve < and < as _________. AND
The two types of compound inequalities And, OR
a+b=b+a Change in order Commutative Of Addition
a+0=a Adding zero to a number does not change its value Identity Of Addition
Switch sides a=b, b=a Symmetric Property
If a=b, and b=c, then a=c Transitive Property
a*b=b*a Change in order Commutative Of Multiplication
a*1=a Multiplying by 1 Identity Of Multiplication
a(b+c)=ab+ac or ab+ac=a(b+c)(Factor GCF) Distributive Property
When adding and multiplying real numbers, only one answer that is also a real number Closure Property
a=a Both sides are the same Reflexive Property
(a+b)+c=a+(b+c)Change in grouping Associative Of Addition
If a=b,then a-c=b-c Subtract same # from both sides Subtraction Property
One quantity may replace another Substitution Property
a*(1/a)=1A number times its inverse =1 Inverse Of Multiplication
(a*b)*c=a*(b*c) A change in grouping Associative Of Multiplication
A function that looks like "U" Quadratic Function
A function that looks like "V" Absolute Value Function
A function that looks like a set of stairs Step Function
A function that is a line Linear Function
A function that is of the form y=x. It is a line that is through the origin with a slope of 1. Identity Function
A function that passes through the origin with a slope not equal to 0 Direct Variation Function
A function that looks like a hill. A function of the form y=ab^x Exponential Function
Name the 4 methods to solve quadratic equations 1. Graphing 2. Factoring 3. Completing the square 4. Quadratic formula
Formula to factor a difference of squares a^2 - b^2 (a-b)(a+b)
Formula to factor a sum of cubes a^3+b^3 (a+b)(a^2 - ab + b^2)
Formula to factor a difference of cubes a^3 - b^3 (a-b)(a^2+ab+b^2)
A line that goes UP and to the RIGHT has _________ slope Positive
A line that goes DOWN and to the RIGHT has __________ slope Negative
A horizontal line has__________ slope Zero
A vertical line has _____________ slope No slope or undefined
Which conic equation only has one variable squared? Parabola
Which conic equation has subtraction? Hyperbola
Which two conic equations always equal 1? Ellipse and Hyperbola
A sequence where each term is found by adding a constant to the previous term Arithmetic sequence
A sequence where each term is found by multiplying a constant to the previous term Geometric sequence
Σ means to _________ the terms of the sequence Add
A quadratic equation has an exponent of ______. 2-The largest exponent of the equation is 2.
An exponential equation has an exponent of ______ x- The exponent is an x.
To clear the memory on the TI-83(Plus) what buttons do you push? 2nd +,7,1(enter),2
What do you do to solve a quadratic using the calculator? Graph the equation under y=, find the x intercepts (where it crosses the x axis) or looking at the table find the x value that has a 0 in y column. Or use the store as button or substitution on SOL test.
i^2 = ______ -1
i=________ square root of -1
True or False A translation of a line changes the slope of it. False- a translation changes the y-intercept, not the slope
The formula for a direct variation is ____________ y=kx
The formula for an inverse variation is ____________ xy=k
The formula for a joint variation is ____________ y=kxz
Which conic equation has subtraction in the formula? Hyperbola
Created by: elizabeth.foster