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56 Cards in this Set
- Front
- Back
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Multiply across parenthesis. Don't forget to distribute negative. |
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The number multiplied by variables. |
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A polynomial with 3 terms. Terms are separated by + or -. |
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A polynomial with 2 terms. Terms are separated by + or -. |
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Equations include an = sign. Expressions have NO = sign. |
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General steps: 1) Distribute 2) Combine Like Terms |
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Terms are separated by + or -. |
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Left Hand, Less Than. |
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Greater Than |
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( x , y ) ( Left/Right , Up/Down) |
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The phrase "less than" tells us to reverse the order. |
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The phrase "more than" tells us to reverse the order. |
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If a Vertical Line touches/crosses the graph more than once, it is NOT a FUNCTION. |
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When you multiply or divide by a NEGATIVE, FLIP the inequality symbol. |
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Vertical lines have an equation x = #. Vertical lines have Undefined Slope. VUX (Vertical, Undefined, x=) |
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Horizontal lines have equation y = #. Horizontal lines have slope = 0. HOY (Horizontal, ZerO, y=) |
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Combine Like Terms by adding Coefficients of Like Terms. |
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Half means to: -Divide by 2 OR -Multiply by 1/2 |
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Quotient means to DIVIDE. |
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Difference means to SUBTRACT. |
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Sum and Total BOTH mean to ADD. |
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Product means to MULTIPLY. |
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IS and WAS both generally mean EQUALS. |
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Twice means Double or to Muliply by 2. |
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Negative Parabola - opens down - 'a' value is negative |
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Positive Parabola - opens up - 'a' value is positive |
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Axis of Symmetry (Line of Symmetry) - passes through the Vertex - passes through the x-axis - splits the parabola in half |
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ROXS R - Roots 0 - zerOs X - x-intercept S - Solution |
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Vertex - minimum or maximum of parabola - highest or lowest point on graph |
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Finds solutions for quadratics. Remember song "Pop Goes the Weasel" |
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Exponent is the superscript. |
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For exponents, expand the expression |
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Squared means to the power of 2. Often referring to area. |
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Cubed means to the power of 3. Often referring to volume. |
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When multiplying powers (with the same bases), ADD exponents. OR Expand and add up. (Don't forget to multiply coefficients) |
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When dividing powers (with same bases), SUBTRACT exponents. OR Expand and cancel out. (Don't forget to divide coefficients) |
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When there is an exponent outside the parenthesis, multiply exponents. OR Repeat parenthesis. |
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Negative exponents cannot be left negative, they must be moved. If the neg exp is in top - move to bottom (and remove neg) If the neg exp is in bottom - move to top (and remove neg) |
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Anything to the power of 0 = 1 |
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Domain: - x values - bottom to top Range: - y values - left to right |
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Domain: - x values - input - cause - independent variable Range: - y values - output - effect - dependent variable - effect |
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Parallel lines have the same slope and the lines never touch. |
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Perpendicular lines create a right angle (90 degress). |
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X-intercept: -where the line crosses the x-axis -( x , 0 ) -known as 'zero' for linear fcts -known as 'ROXS' for quadratics y-intercept: -where the line crosses the y-axis -( 0 , y ) -known as 'b' in linear fcts -known as 'c' for quadratics |
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Point Slope Formula -solve for y |
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Linear Functions create a straight line |
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y = mx + b -m represents slope -b represents y-int |
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To find slope from a graph use rise over run |
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m - represents slope b - represents y-int |
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slope is rise over run |
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horizontal lines have zero slope (m = 0) HOY (horizontal, m=0, eqn y=#) |
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Vertical lines have Undefined slope (sometimes called No Slope) VUX (vertical, Undefined, eqn x=#) |
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a linear graph goes down (from left to right) when the slope is negative |
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the solution to a system (more than one equation together) is the point the two lines have in common or the intersection |
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The solution to a system is the POINT (x,y) where the two lines intersect or the point the two lines have in common |
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Slope Intercept Form m - slope b - y-intercept |
