**Question 181 – “ If ½ of the air in a tank is removed….”
** Alternatively, you can use the 1 minus approach.

Khan Academy Question 183 – Begins at 4.50

**Question 182 – “If the two-digit integers M and N….”
** OG Explanation is fine but I didn’t see that you had to test for a multiple of 11. Alternatively, you could try to find a counterexample for each.

44 = 13 + 31

99 = 44 + 55

121 = 65 +56

165 = 69 + 96

Khan Academy Question 184 – Begins at 6.40

**Question 183 – “Car X and Car Y traveled….”
** OG Explanation is fine. Alternatively (abstract approach), d = rt. If the rate increases by 50% it is the same as being multiplied by (3/2), if d is to say the same, t must be multiplied by (2/3). (2/3)(2 hours) = 4/3 hours or 1 and 1/3 hours.

Khan Academy Link 185 – Begins at 0.00

**Question 184 – “If the average (arithmetic mean) of the four numbers K, 2K+3,…….”
** OG Explanation is fine.

Khan Academy 186 – 1.25

**Question 185 – “If p is an even integer….”
** OG Explanation is fine. Alternatively, you could pick numbers.

Khan Academy 187 – 4.25

**Question 186 – “Drum X is ½ full of oil and Drum Y…”
** OG Explanation. Alternatively, you could pick numbers for the capacity. Because we have 2/3 and 1/2, a number with factors of 2 and 3 would be a good pick. Let’s pick 24 gallons for Drum Y and 12 gallons for Drum X.

Drum X is ½ full of oil. It is has 6 gallons. Y is 2/3 full and has 16 gallons. If all of X is poured into Y, Y will have 22 gallons.

Drum Y fraction to capacity: 22/24 = 11/12

Khan Academy Question 188 – 7:10

**Question 187 – “If x > 0, x/50 ,,, “
** OG Explanation is fine.

Khan Academy Question 189 – 9.25

**Question 188 – “If the operation * is defined…”
** OG Explanation is fine.

Khan Academy Question 190 – Begins at 0.00

**Question 189 – “The inside dimensions of a rectangular wooden box….”
** OG Explanation is fine.

Khan Academy Question 191 – Begins at 1:30

**Question 190 – “What is the units digit of….”
** OG Explanation is fine.

Khan Academy #194 – Begin at 9.30

**Question 191 – “Pat will walk from Intersection X to Intersection Y….”
** OG Explanation is okay. Alternatively, the number of way you could arrange UUURR is 5!/(2!3!) = 10 using the combinations formula.

Khan Academy Question 195 – Begins at 0.00

**Question 192 – “The ratio by volume of soap to alcohol to water…”
** OG Explanation is too complicated.

Starting S to A to W: 2 to 50 to 100

Soap to Alcohol Ratio Double While Soap to Water is Halved:

Starting with Soap to Alcohol:

Currently 2 to 50

We Need 4 to 50

Combined 4 to 50 to WATER

Soap to Water is Halved:

Currently 2 to 100

Needed 4 to 100

Combined 4 to 50 to 400

If we have 100 Alcohol, we can adjust the ratio to

8 to 100 to 800.

The answer is E.

Khan Academy #196 – Begins at 3.30

**Question 193 – “If 75% of a class answered the first question…”
** OG Explanation is fine. Alternatively, you could pick numbers (i.e. there are 100 students) instead of working in percents.

Khan 197, Begins at 6.50

**Question 194 – “In the rectangular coordinate system above the line….”
** OG Explanation is fine. Remember that slope of a perpendicular bisector is the negative reciprocal.

Khan Academy Question 199 – Begins at 1.15

**Question 195 – “A store currently charges the same price….”
** OG Explanation is fine. Alternatively, you could check the answer choices directly. Examples:

Khan Academy Question # 200, Begins at 5:00

In general, if the answer choices are in ascending or descending order, you should start in the middle (answer choice C) and move accordingly using algebraic reasoning.

**Question 196 – “In the table above, what is the number of green marbles….”
** OG Explanation is fine.

Khan Academy Question 205 – Begins at 0:00

**Question 197 – “A point on the edge of a fan….”
** OG Explanation is fine.

Khan Academy 207 – Begins at 0.00 (I think there is an error in this video)

**Question 198 – “If n = 4p where p is a prime…”
** OG Explanation is fine. Alternatively, you could pick a number, say let p = 12. Divisors of 12 are 1, 2, 3, 4, 6, and 12. There are four even factors here. (i.e. 2, 4, 6, and 12)

**Question 199 – “The data sets I, II, and II above….”
** The OG Explanation is doing unnecessary calculations. There is no need to compute the standard deviation here. Starting with set II, the standard deviation here is 0 because none of the terms deviate from the mean. The standard deviation in I is smaller than the standard deviation than III because 62 and 89 deviate so far out from the mean.

Thus, the answer is III, I, II (D)

Khan Question 212 – 3.05

**Question 200 – “Of the 50 researches in a workgroup….”
** OG Explanation is fine.

Khan #214 – Begins at 0:00

I read a lot of interesting posts here. Probably you

spend a lot of time writing, i know how to save you a lot of time, there is an online tool that creates readable, SEO friendly articles in minutes, just type in google

- laranitas free content

Elements and principles of art. Exploration of the elements of line, shape and color in two-dimensional and three-dimensional design and drawing projects. Experiences in conceptualization and visual problem solving.