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ACT Problem

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(6a – 12) – (4a + 4) = ?

- 2(a+2)
- 2(a+4)
- 2(a-2)
- 2(a-4)
- 2(a-8)

(6a – 12) – (4a + 4) = ?

Suppose a = 1.

(6(1)-12) – (4(1) + 4)

(6-12) – (4+4)

-6 – 8

-14

(6a – 12) – (4a + 4) = ?

Our answer was a -14

If a = 1, then

- 2(a+2) = 2(3) = 6
- 2(a+4) = 2(5) = 10
- 2(a-2) = 2(-1) = -2
- 2(a-4) = 2(-3) = -6
- 2(a-8) = 2(-7) = -14

Vertical Angles and Transversals

4 Ways

By the points that

Compose it:

<NMO or <OMN

By the vertex (or pivot

point of the angle):

<M

Or the number associated with it: <1

Vertical lines are

opposite each other.

They are always equal.

Angles

1=3=5=7

Angles

2=4=6=8

Alternate exterior

Alternate interior

Corresponding

Consecutive Interior

Set up the information you know and solve for x as you would in algebra:

2x + 4 + 38 = 90

2x + 42 = 90

-42 -42

2x = 48

2 2

x = 24

2x + 4