13.4 Problem Solving: Work Backwards (p.298-299)

13.4 Problem Solving: Work Backwards (p. 298-299)
I. Use when the problem describes a series of actions and tells the result
II. Can be used to solve a problem represented by an equation by undoing the operation
III. When a desired outcome is known, work backwards to figure out what you need to do to make it work

13.3 Use Formulas (p.294-297)

I. A formula is a rule or principle used to find a value: i.e. area, perimeter, volume, etc…
II. Use properties of equations to solve for the variable in a formula
III. Useful formulas:
Converting between Fahrenheit and Celsius :
F = (9/5 x C)+32
C = 5/9 x (F-32)
Average Speed: d = rt (distance equals rate times time)

13.1-2 Solve Multiplication and Division Equations (p.290-293)

I. Focus on getting the variable by itself on one side of the equation – use the opposite operation to cancel and balance the equation.
II. Division Property of Equality: If both sides of an equation are divided by the same nonzero number, the two sides remain equal
III. Multiplication Property of Equality: both sides of an equation are multiplied by the same number, the two sides remain equal.

12.5 Problem Solving Strategy: Write an Equation (p. 282-283)

I. Identify which quantities are equal to each other.
II. Use key words in the problem, identify operations needed to solve.
III. Use a variable to represent any unknown quantity
IV. Write an equation that models what is given in the problem

12.4 Solve Subtraction Equations (p. 280-281)

I. Focus on getting the variable alone on one side of the equation
II. Addition Property of Equality: Add the same number to both sides of an equation, the two sides will remain equal

12.2-3 Solve Addition Equations (p.277-279)

I. Focus on getting the variable alone on one side of the equation
A. Use the subtraction property of equality to subtract an equal amount from BOTH SIDES of the equation

12.1 Words and Equations (p.274-275)

I. Use the same strategies to translate word expressions to equations – similar to the way you translate word expressions to numerical and algebraic expressions.
II. Use variables to represent an unknown number or value
III. “is” translates as “=”