ACT Practice #2

A list of numbers where the difference between one term (number) and the next is constant

Example: 4, 6, 8, 10, 12, ... (common difference is 2)

Example 2: -4, -7, -10, -13, ... (common difference is -3)

A list of numbers where the ratio between one term (number) and the next is constant

Example: 2, 6, 18, 54, ... (common ratio is 3)

Example #2: 5, 5/2, 5/4, 5/8, ... (commmon ratio is 1/2)

Step 1: Solve one of the equations for one of the variables

Step 2: Substitute what the variable equals in the solved equation into the other equation

Step 3: Solve the second equation (which should now only have one variable)

Step 4: Plug in the solution from step 3 to one of the original equations to solve for the other variable

 $ax^2+bx+c$  

Step 1: Multiply a and c

Find two numbers that multiply to be the product from step 1 and also add to be b

Substitute those numbers for b

Factor by Grouping (see next slide)

Group the first two terms and the second two terms together

Find the GCF of the first two terms

Find the GCF of the second two terms

Complete the factoring (see next slide for example)

In a right triangle, the ratios of sides in relation to an angle are described using trigonometric ratios

The ratios are sine, cosine, and tangent

Sine = opposite side divided by hypotenuse

Cosine = adjacent side divided by hypotentuse

Tangent = Opposite side divided by adjacent side

SOH-CAH-TOA

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Homework: ACT Review Assignment #2 in Schoology