Math Test Tips

The average is between the two numbers.

Between 1/3 and 1/6 is numbers like 1/4 and 1/5.

So 1/9 is out.         2/3 is the same 4/6 which is bigger than 1/3, so d. is out.

So the answers can only be a or c.  Your odds are 50-50 of getting it right.

Let's say you scored 20 points a game, then in three games you'd have scored 60.  So to get 74, you'd need to have scored a few more...let's say 25.

Figuring out the possible solutions yields:

a.  24.67   b.  0.405   c.  296   d.  70

So the answer is a.

If you do a quick graph, you'll see that the line that goes through those points is going up (from left to right).  This means the slope is positive.  So the answer can only be c or d.

If you know that slope is RISE over RUN, then to get from the left point to the right, do you go up 1 and over 1 (c) or up 3 and over 2 (d)?

The answer is d.

The solution (11, 0) represents a point of the form (x, y).  So, in this case, x = 11 and y = 0.  From the problem, it says that x is days and y is the number of samples.  So look for an answer that mentions 11 days and 0 samples. Therefore, the answer is c.

You  can solve this using substitution, elimination, graphing, Cramer's Rule, Matrices, etc.....

...Or just plug in each value and see what works. 

a.  2(-6) - 2 does not equal 6

b.  2(-2) - 2 does not equal 6

c.  2(2) - -2 DOES equal 6  and 2  + 2(-2) DOES equal -2

d.  2(4) - 2 DOES equal 6 but 4 + 2(2) does NOT equal 8

Same as #5, just plug in each value for x.

a.  2(-1)² + 4(-1) = 3 + 3(-1)²  gives   -2 = 6 ....nope

b.  2(0)² + 4(0) = 3 + 3(0)²  gives 0 = 3  ....nope

c.  2(3)² + 4(3) = 3 + 3(3)²  gives 30 = 30  ....yep

d.  2(6)² + 4(6) = 3 + 3(6)²  gives 96 = 111  ....nope

You'll want to draw this one. 

The y-intercept is negative, so the graph is moving from Quadrant III to Quadrant IV (at x = 0).

It has a positive slope so it's going upwards (left to right).  So it must start in Quadrant III and eventually end up in Quadrant I.

Therefore, it will NEVER be in Quadrant II.  (-3, 3) is in Quadrant II, so the answer is b.

A little math knowledge helps here.  In this factored form, you can easily the x-intercepts (or zeros of the function).  They are 6 and -12.  The vertex will be halfway between these two points.  So the answer is b.

Or you could plug various x values into the equation and get some points to plot.   The vertex will be the low point of the parabola.  (If you didn't know ahead of time that it's a low point, the graph would help you out)

If 100 grams of bananas gives you 0.15 grams of zinc, then 200 grams of bananas would give you twice as much or 0.30 grams of zinc.  The given number of 140 grams of bananas is a little less than halfway between 100 and 200, so the answer should be a little less than halfway between 0.15 and 0.3.  Halfway between these is 0.225, so a little less would be 0.21 or b.

Visualize Juliene's Google calendar.  She has a certain amount of time blocked off for dancing on Tuesday.

She danced twice as long on Monday, so she would have two of those time slots blocked off.

So looking at the two days, there would be THREE time slots blocked off for dancing.

2 hours and 15 minutes = 60 + 60 +15 = 135 minutes total.

So how long is 1 time slot?  3 slots = 135 minutes, so divide by 3 -->  135 / 3 = 45 minutes.

So the answer is 45 minutes???

No.  This is why reading the problem is important.  The are asking about how long she danced on Monday.

On Monday, she danced for TWO time slots, which means that she danced for 45 minutes and then another 45 minutes, or a total of 90 minutes.