ACT Practice #2

ACT Practice #2

Bridge Math Fall 2020

Mr. Marichal

Hillwood High School

Arithmetic Sequence

• 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)

Geometric Sequence

• 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)

Multiple Choice

What is the missing term in this series?

3, 12, ?, 192, ...

• 21

• 15

• 48

• 100

Solving a system of equations (substitution)

• 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

Multiple Choice

If x-y = 18, x + y = 30, and x > y, what is the value of xy ?

• 40

• 200

• 144

• 125

• 63

Factoring using the AC Method

•  $ax^2+bx+c$  

• 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)

Factoring by grouping

• 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)

Multiple Choice

Which of the following is a factor of the polynomial

 $2x^{2\ }-3x-5$  ?

• x-1

• 2x-5

• 2x+5

• 2x-3

Trigonometry (Introduction)

• 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

Multiple Choice

What is the sine of

 $\alpha$  ?

• 8/17

• 15/17

• 8/15

• 17/8

Closing

• How do you feel about today's material? Rate yourself on a scale of 1-5.

• Homework: ACT Review Assignment #2 in Schoology