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Solve - (6x + 4) = - 8x – 2

Algebra I. Solve - (6x + 4) = - 8x – 2 You are saving for a new bike that costs $175. You have saved $35. You want to save enough money in 6 weeks to purchase the bike. Write an equation to represent how much money you will need to save each week. Clear Targets: TSWBAT.

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Solve - (6x + 4) = - 8x – 2

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  1. Algebra I • Solve - (6x + 4) = - 8x – 2 • You are saving for a new bike that costs $175. You have saved $35. You want to save enough money in 6 weeks to purchase the bike. Write an equation to represent how much money you will need to save each week. Clear Targets: TSWBAT • Solve literal equations by using properties of equality

  2. Literal Equations Recall the Properties Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality

  3. Rewrite an Equation Solve z – br = p for b in terms of z, r, and p. (Means the same as solve for b) • Move terms using properties of Equality • Do addition/subtraction first • Multiplication and Division last • Variable must be positive not negative z – b r = p Circle the term to keep -z-z Sub Prop of Eq - br = p – z Rewrite equation - br = p – z Div Prop of Eq -r -r b = p – z Rewrite -r

  4. Rewrite an Equation Solving Literal Equations is the same as solving multi-step equations. It gives you the variable you need to solve for. Rewrite or solve the equation for x. y = 4x – 3 + 3 + 3 Add Prop of EQ Y + 3 4x 4 4 Div Prop of Eq

  5. Connect to Science Real World 2. Substitute the given values 3. What is the Volume?

  6. Rewrite an Equation The formula K = C + 273.15 gives the Kelvin temperature K in terms of the Celsius temperature C. Transform the formula to find Celsius temperature in terms of Kelvin temperature. Then, find the Celsius temperature when the Kelvin temperature is 400°. C = K – 273.15 or K – 273.15 = C

  7. Practice Transform the Geometric formula for the area of a triangle. The area of a triangle formula is A = ½ bh where b is the base and h is the height. Solve the formula for h.

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