The deposit is described as an untaxed flat fee, so that would mean 18 would have to represent it in the equation. If x=100, then 1.08x would equal 108. 108+18=126, but since the 18 is a deposit and the 100 is the retail price, that leaves a remainder of 8, which would have to represent the tax. $8 is eight percent of 100, thus making Answer 4 the only correct choice.
Vertex form of a parabola equation: y=a(x-h)2+k, where (h,k) is the vertex. Plug 4 into the h slot and -4 slot, and Answer 3 will be the only correct choice.
The fraction 1/3 would not be part of any correct answer since the equation represents the final sales of Marsha, so you can eliminate answers 2 and 3 right away. That leaves Answers 1 and 4. Since the parentheses in Answer 4 would mean that you would need to multiply both figures by the fraction, that cannot be correct either. Answer 1 is the only correct answer.
All the selections utilize slope-intercept y=mx+b where b is y-intercept and x,y are points on line. Answers 2 and 4 produce the wrong results for y when you plug in x. Answer 1 has a y-intercept of -4 instead of 4. This leaves only Answer 3 as the correct choice.
For this answer, start by choosing any number. We'll pick 2. 4(2)+12 or 8+12=20. Now increase 2 by 4. 4(6)+12 or 24+12=36. Now subtract 20 from 36 and you're left with 16. Answer 2 is the only correct choice.
Plug in the answer choices to x and 4 for radius, and you will find that Answer 1 is the only answer that can be plugged into the equation at x where the equation checks out.
The easiest thing to do is to first use the word problem to tell you what a is. Doing so, you will see that a=1/3b+2. Multiply both sides of the equation by 3 (the inverse of the fraction) and that will leave you with 3a=b+6. Add -6 to both sides, and you're at 3a-6=b. From the four answers listed, Answer 2 is the only response that equation can be derived from.
1,275 represents the starting rotation rate. That will have to be reflected, so you can remove Answer 1. A closer reading of the question will dismiss Answers 2 and 3. Answer 4 is the only one to reflect 1,275 as the starting rotation as well as the reduction in speed -- 3 less (-3) than four times the liquid's square height (4h2), or -3+4h2, which is the same as saying 4h2-3.
Start with the simplest equation to figure out. The bottle is a mix of only two products (z and m) and since it's 32 ounces in volume, you have z+m=32. This eliminates Answer 2 straightaway. As for the other two incorrect answers (3 and 4), they give themselves away by the incorrect percent to decimal conversion, leaving Answer 1 as the best choice.
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SAT Math Practice Test #2
