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# Foster-Algebra 2

### Foster's Algebra 2 SOL review

Question | Answer |
---|---|

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 |

If a=b,then a+c=b+c Add same # to both sides | Addition Property |

a=a Both sides are the same | Reflexive Property |

a+(-a)=0 A number added to its opposite =0 | Inverse Of Addition |

(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