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Solve Literal Equations. Homework Review. h=7 2. w=-72 3. K=-2 4. identity 5.X=3 6. x = -5 7. No solution 8. w=0 9. r=5 10.no solution. Factoring using the distributing property.
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Homework Review h=7 2. w=-72 3. K=-2 4. identity 5.X=3 6. x = -5 7. No solution 8. w=0 9. r=5 10.no solution
Factoring using the distributing property Identify the common factor in each expression: 2a + 3a= -8e+9e= 7w+2w= 5a – 5b=
Use the distributive property to factor • 1. 5x + 5y= • 2. mx-my= • 3. ta-tb= • 4. fr-fg= • 5. wx-wy= • 6. -hs-ht=
What are Literal equations? • Examples • A=0.5hb • y=mx + b • P = c –d • P = 4s • Non Examples • 3x + 5 = 10 • 12 = 2x -5 • 6x = 18 • 4x – 4 = 2x + 7
In algebra, it is possible to have no numbers at all in an equation, only letters. These are called literal equations. • Literal equations are equations containing one or more variables. Your goal is to solve for just one variable with respect to others.
Literal Equations Regular Equations -3x = 10 4x = -15 • -ax = b Solve for x • cx = -b
Literal Equation Regular Equation 2x + 4x = 10 -8 = 5x + 2x • cx + bx = a • -c = bx + ax
Literal Equation Regular Equation 15 = 3x + 7 4 = 5m • y = mx + b Solve for b • V = hm Solve for m
Literal Equation Regular Equation 10 = 2x·5 25 = 2w +15 • C=2πr Solve for r • P = 2w +2l Solve for w
Literal Equations Regular Equations 5p – 10 = 20 20 = 3x - 5 • ap – b = r Solve for p • y = mx + b solve for x
Do Now • Solve for y 2x + y = 15 • Solve for p I=prt • Solve for y 3x + 6y = -4 • Solve for x 5x – 10y = 50