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15 Cards in this Set
- Front
- Back
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Rules for adding two negative numbers |
You add the absolute value of the numbers and keep the negative sign -6 + -3= -9 |
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Rule for adding a negative number and a positive number |
Subtract the absolute value Keep the sign of the larger number. -3 + 9= 6 |
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To subtract to negative numbers |
Add the opposite. Keep, change, change
-9 - -4= -9 - 4= -9 + 4 = -5. -9 + -4= 13 |
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Simplify expressions by combining like terms |
3x - 5y + 12x -5 -5y = 15x -10y - 5 |
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2.1 one step equation |
A solution to an equation: a number that makes the equation true 9=-2y + 5 ; -2 9= -2 x -2= 4 +5 9=9 So -2 is a solution |
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Addition and subtraction of properties of equality: Equation means one side equal other side |
If a=b then a+c =b+c V -7=2 V +7=2+ 7 The sevens cancel out so v is left by itself then add V = 9 Check your answer by replacing answer with number 9-7 = 2 |
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Multiplication of Equality multiplication by division |
If: a = b Then: ac = bc Solve the equation: by dividing and 4x = -20 4. = 4 X= -5 |
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Division of equality division by multiplying recripical |
If a =b Then a over c = b over c a/c= b/c 4/5y = -3/10 multiply by reciprical on both sides of equation 5/4 x 4/5y= -3/10 x5/4= y=-3/8 |
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Quotent |
Means division The quotent of a number and 2 is 8. write it out: x / 2 = 8 divide by recripocal 2/1 on both sides to get x by itself. X= 8x2=16 |
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Product means multiplication by division |
Z x 3 = 24 to get x by itself divide both sides by three 24 ÷ 3 = 8 |
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The sum of x and 6 = -20 X +6 =-20 |
Solve the equation X +6 =-20X -6 = -20 -6 subtract -6 from both sidesadd the opposite to leave x by itself.X = -26 |
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Solve a linear equation on one variable |
Simplify bith sides of the equation 1. Clear the parenthesis 2. Combine like terms 3 move all variables to one side and 4. Move all constanants-numbers to the other by adding or subtracting 5 solve for x by multiplying or dividing |
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A conditional equation |
A conditional equation is true because it has one solution that make it so. |
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Contridiction Has no solution so it is never true... |
Example: when the x' s cancel each other out you cant solve for x. |
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Identity solution |
An identity solution is always true Solutions are all real numbers Example: 8t + 4 = 8t + 4 |
