Term
| What is an Algebraic Expression |
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Definition
An expression consisting of one or more numbers or variables along with one or more arithmetic operations
Ex: 5a +2
3x
xy
(3/2)x2
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Term
| What is the definition of the word "Sum" ? |
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Definition
| This is the answer to an addition problem |
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Term
| What is the definition of the word "Difference" ? |
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Definition
| This is the answer to a subtraction problem |
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Term
| What is the definition to the word "Product" ? |
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Definition
| This is the answer to a multiplication problem |
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Term
| What is the definition of word "Quotient"? |
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Definition
| This is the answer to a division problem. |
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Term
| What is a "verbal expression" ? |
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Definition
| This is an Algebraic Expression written in words. |
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Term
| What is the Order of Operations? |
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Definition
The rule that lets you know which operation to preform first. Can be remember by using the acronym: P.E.M.D.A.S
P=Parenthesis
E=Exponent
M=Multiplication
D=Division
A=Addition
S=Subtraction |
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Term
| What is the "Distributive Property" ? |
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Definition
This is the property that states: Anything on the outside of a parenthesis is multiplied to everything on the inside of the parenthesis:
Ex: 3(2a-4) = 6a-12
(x+8y)2=2x+16y |
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Term
| What is the horizontal axis of a coordinate system called? |
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Definition
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Term
| What is the vertical axis of the coordinate system called? |
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Definition
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Term
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Definition
The ordered pair is the location of a point on a coordinate system. It uses the x coordinate and the y coordinate enclosed in parenthesis.
Remember: x is always before y, just like the alphabet. |
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Term
| What is the origin on a coordinate system? |
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Definition
| The origin is the point where both the x-axis and y-axis intersect. This location's ordered pair is (0,0) |
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Term
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Definition
The domain is a set of all the x coordinates of a relation, a mapping, or a graph.
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Term
| What are the rules for the Domain? |
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Definition
1. No repeats allows.
2. Order the numbers from least to greatest. |
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Term
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Definition
| The range is the set of all the y coordinates of a relation, a mapping or a graph. |
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Term
| What are the rules for a Domain? |
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Definition
1. No repeats allows.
2. Order the numbers from least to greatest. |
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Term
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Definition
A function is a relationship between input and output where there is exactly one output for each input.
FYI: The x coordinates do not repeat in a function. |
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Term
| To see if a graph is a function, you do this? |
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Definition
| The Vertical Line Test. Run a vertical pencil, pen, or ruler from left to right on a graph. If it does not touch the graph (or points) more that once the graph is a function. |
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Term
| What are the steps to solving most equations? |
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Definition
1. Where is my variable? ex: left, right, both, middle
2. What is attached to my variable?
3. What is it doing to my variable?
4. Undo it. |
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Term
| If you have a fraction attached to a variable in an equation, how do you undo it? |
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Definition
| Find the reciprocal of the fraction and multiply it to the other side of the equation. |
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Term
| How do you know an equation is linear? |
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Definition
| The exponents are equal to one. Any other number makes the equation non-linear |
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Term
| What is the equation for the Slope. |
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Definition
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Term
| What is the definition of the Slope? |
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Definition
| The slope is the steepness of a line. This refers to the ration of the rise over the run. |
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Term
| What is the expression for Standard Form? |
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Definition
The expression is: Ax+By=C
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Term
| What are the steps for getting an expression in Standard Form? |
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Definition
1. A and B are on the same side.
2. C is by itself.
3. A is always first.
4. A is always positive
5. There are no fractions allowed.
FYI : you do not have to have an A or a B, but you have to have at least one of these. |
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Term
| What is the equation for Slope-Intercept form? |
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Definition
y = mx + b
Where y is just y, m is the slope, x is just x and b is the y-intercept. |
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Term
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Definition
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Term
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Definition
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Term
| What is the equation for Point-Slope form? |
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Definition
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Term
| How do you know if two linear equations are parallel? |
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Definition
For these to be parallel, m1 = m2 and
b1 not equal to b2
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Term
| How do you know if two linear equations are Perpendicular? |
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Definition
Two linear equations are perpendicular is their slopes are opposite reciprocals of each other.
In other words: m1(m2) = -1 |
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Term
| What is the only rule for Inequalities? |
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Definition
| If you multiply or divide an inequality by a negative number, you must remember to flip the inequality. |
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