Reminders Sites you can search for topics: http://www.coolmath.com/prealgebra http://www.coolmath.com/algebra http://www.virtualnerd.com/
Multiply & Divide with Negative Numbers: http://www.virtualnerd.com/pre-algebra/algebra-tools/multiply-divide-integers/divide-integers/multiplying-or-dividing-with-different-signs
Add Fractions with Unlike Denominators Video Tutorial: http://www.virtualnerd.com/algebra-1/algebra-foundations/real-number-add-subtract/real-number-add/add-fractions-different-denominator
o Add & Subtract Fractions Example:
o Multiply & Divide Fractions Examples:
A.K.A. "Flip the second guy & multiply."
Cross-cancelling is not required, but highly recommended.
Order of Operations Video Tutorial: http://www.virtualnerd.com/algebra-1/algebra-foundations/simplifying-expressions/order-of-operations/order-of-operations-examples o Order of Operations Example:
Solving 2-Step Equations Video Tutorial: http://www.virtualnerd.com/algebra-1/linear-equations-solve/two-or-multi-step/two-steps/two-step-example o Solving 2-Step Equations Examples:
Using the Distributive Property Video Tutorial: http://www.virtualnerd.com/pre-algebra/one-two-step-equations/distributive-property/distributive-property-applications/distributive-propertyexamples
Solving Multi-Step Equations Video Tutorial http://www.virtualnerd.com/algebra-1/linear-equations-solve/two-or-multi-step/multiple-steps/distributive-propertiy-multi-step-example o Solving Multi-Step Equations Example:
Step 3a) Solve for 'b' Subtract 69 from both sides
-69 =-69 -3b =-21
Step 3b) Divide both sides by -3
-3b =-21 -3 -3 b = 7
Solving Equations with Variables on Both Sides Video Tutorial: http://www.virtualnerd.com/algebra-1/linear-equations-solve/variables-both-sides-equations/variables-both-sides-solution/variables-groupingsymbols-both-sides o Solving Equations with Variables on Both Sides Example:
Step 2a) Solve using symbolic method
Step 3) Check your answer
Linear equations are written in the form y = mx + b, where m is the slope & b is the y-intercept.
Graph an Equations using Slope & Y-Intercept Video Tutorial http://www.virtualnerd.com/algebra-1/linear-equation-analysis/slope-intercept-form/slope-intercept-form-examples/graph-line-givenslope-intercept
o Graph an Equations using Slope & Y-Intercept Example Graph the equation y = x – 4 Step 1a: Identify the y-intercept (b)
b = -4 so y-intercept is (0, -4)
Step 1b: Plot the y-intercept
Step 2a: Identify the slope of the line (m)
Step 2b: Use the slope to graph at least 2 additional points
so the slope means rise up 2 units and
run right 3 units
o Graph an Equations using a Table Example Graph the equation y = 2x – 2
Step 2a) Create a table to help find ordered pairs. The table will have a column for xcoordinates, a column for plugging our x values into 2x – 2 and a column for our y-coordinates. Since we are not given any x-coordinates, we have to choose some ourselves. It is a good idea to choose one positive number, one negative number and zero as our xcoordinates. Let's choose -1, 0 and 1 for our xcoordinates.
(FYI...You can pick any numbers you like to create coordinates.) Step 2b) Calculate the y-coordinates by substituting each of the x-coordinates into the equation. Use order of operations to find the value of y when x = -1, x = 0 and x = 1
Step 4) Draw a line through your plotted points & add arrows at both ends.