**Which line running through (3,4) is perpendicular to y = -3x + 4?**

y = -3x + 13

y = 3x - 5

*m*, a perpendicular Line 2 will have a slope of . Line y = -3x + 4 is in slope-intercept form: y=mx+b, where

*m*is the slope and

*b*is the

*y*-intercept. Since m=-3, it has a slope of -3. A line perpendicular to it should have a slope of . Thus, it will have an equation in the form: Only the line is similar to this format. If there were more choices that fit the format, continue: Plug in (3, 4) for (x, y) to solve for

*b*: 4 = 1 + b 4-1=b 3=b Therefore, the correct equation is:

**Where does cross the y axis?**

(-1,0)

(2,0)

(1,-2)

(0,-2)

*y*axis when

*x*is equal to zero. Thus, when x = 0, Presented as (x, y), this is the point (0, -2).

**Which equation runs through points (1, 6) and (-1, 2)?**

y = 2x + 4

y = -2x + 8

y = -4x + 10

y = 4x + 2

*m*, is defined as rise over run, or the vertical distance between two points divided by the horizontal distance between the same points: , where and are two points along the line.

To compute for

*m*in the problem use and

The straight-line equation in the slope-intercept form applies, that is:

y = mx + b, where

*m*is the slope and

*b*is the value of

*y*when

*x*= 0 (the

*y*-intercept)

Initially, we know that the equation will be something like this:

y = 2x + b

Since there is only one choice that fits this description, save time by choosing that answer.

However, if there were more than one choices that fit the description, or if it isn't a multiple choice problem, continue:

We need to know

*b*, which we compute by plugging in either of the points given:

If we use (x, y)=(-1, 2):

y = 2x + b

2 = 2(-1) + b

2=-2+b

2+2=b

4=b

Therefore, the correct equation is:

y = 2x + 4

TIP: you can check by using the other given point, (1, 6).

Jim is filling his rectangular pig trough full of slop. The trough is 3 ft wide, 8 ft long, and has a depth of 4 ft. One of the piglets jumps in the trough and the slop rises 2.8 inches.
**What is the volume of the trough?**

*volume of the trough*, use the formula: Volume = L u00D7 W u00D7 H

The information about 2.8 inches rise in slop is unnecessary because you are asked to find the

*volume of the trough*, not that of the slop.

Be careful to be aware of, and discard, any irrelevant information given in test questions.

A ladder is leaning against an 18 ft building. The bottom of the ladder is 8.5 ft from the building.
**Approximately how tall is the ladder?**

20 Ft

18 Ft

40 Ft

396 Ft

TIP: It's easy to arrive at the answer ,

but not as easy looking for the . Since you will be computing manually, review the answer choices and eliminate the unlikely answers. 396 is definitely not the answer because the square root of 396.25 will be a much smaller number. 40 is also out because if you square it,

18 is also eliminated because .

Checking out 20, it is the best answer because , very close to 396.25.

**Where do lines y = x - 1 and y = -5x + 11 intersect?**

(3, -4)

(2, 1)

(-2, -3)

(-3, -4)

**In parallelogram ABCD, ∠ = 4x + 8 and ???? = 6x - 10. Find the measure of ∠.**

Austin, Texas has a statue of Stevie Ray Vaughn that is 12 ft tall. It casts an 8 ft shadow. Doug stops to admire the statue. Doug's shadow is 3.5 ft.
**How tall is Doug?**

5 ft

6 ft

4.75 ft

*h*be Doug's height, the equation will be: Cross-multiply and you will have: 8h = 12 \u00D7 3.5 8h = 42 Divide both sides by 8 to get the value of just

*h*:

**If Hunter scored an average of 76 on his first four tests, what is the minimum he must score on his fifth test in order to have an overall average of 80?**

80

86

96

94

Next, you will need to find the total of what you want. There are 5 tests, and you want an average of 80. Multiplying 5 by 80 gives you a total of 400.

Then, you will need to find the difference between the totals on the first 4 tests and all 5 tests. Subtracting 304 from 400 gives you a total of 96.

Meghan raised funds for the Cancer Society for seven straight days. She raised the following amounts:
$525, $350, $275, $630, $1,010, $275, and x.
**What would the value of x equal if the average funds collected were $500?**

$375

$480

$595

$435

($525 + $350 + $275 + $630 + $1,010 + $275 + x) × 7 = $500.

Solve for x.

($3,065 + x) × 7 = $500

$3,065 + x = 7 × $500 = $3,500

x = $3,500 - $3,065 = $435

A bus arrives at the bus station every 2 hours, a second bus arrives every 3 hours, and a third bus arrives every 4 hours.
**If all 3 buses arrive at 9:00 AM, at what time will all 3 buses next arrive at the same time?**

9:00 PM

12:00 PM

3:00 AM

6:00 PM

**Solve the following equation**:

|2x + 6 - 5x| = 9

x = 1 or x = 5

x = -1 or x = 5

x = -3 or x = -5

x = 3 or x = 5

**John adopted his dog exactly 5 years and 12 days ago. At this instant, how many minutes has John had his dog**? (Ignore leap years.)

2,217,116 minutes

3,098,732 minutes

2,645,280 minutes

1,872,234 minutes

**Which of the following pairs of points both lie on the line whose equation is 4x-2y= 10?**

(3,2) and (4,4)

(8,3) and (6,-1)

(2,-2) and (5,5)

(3,1) and (6,7)

|3 + x| = 5
**Which of the following options is the correct solution set for the above equation?**

{2, 8}

{-8, 2}

{-8, -2}

{-8, 8}

Kyle borrows $12,000 for a period of five years to buy a used car.
**If the simple interest rate is 12%, how much will he pay in interest?**

$7,200

$5,400

$8,400

$1,200