New SAT Writing and Language : New SAT

Study concepts, example questions & explanations for New SAT Writing and Language

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Example Questions

Example Question #1 : How To Find Compound Interest

Jack has , to invest. If he invests two-thirds of it into a high-yield savings account with an annual interest rate of , compounded quarterly, and the other third in a regular savings account at  simple interest, how much does Jack earn after one year?

Possible Answers:

Correct answer:

Explanation:

First, break the problem into two segments: the amount Jack invests in the high-yield savings, and the amount Jack invests in the simple interest account (10,000 and 5,000 respectively).

Now let's work with the high-yield savings account. $10,000 is invested at an annual rate of 8%, compounded quarterly. We can use the compound interest formula to solve:

Plug in the values given:

Therefore, Jack makes $824.32 off his high-yield savings account. Now let's calculate the other interest:

 

Add the two together, and we see that Jack makes a total of,  off of his investments.

Example Question #291 : New Sat

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Approximate the Average Yearly change in the number of PhD's.

Possible Answers:

Correct answer:

Explanation:

What this question is asking for is to approximate the slope of the line of best fit. To calculate the slope, we need to find find two points on the line. The best points to pick out is , and . Now we can find the rate of change by using the following equation.

, where  are points on the line.

 

Example Question #292 : New Sat

The table below shows the number of college graduates per 2 months

 

 

Which 2 month period had the most college graduates?

 

Possible Answers:

Correct answer:

Explanation:

In order to answer this question, we need to add each column up and see what column is the largest.

It looks like that the  2 month period has the most college graduates.

Example Question #252 : Coordinate Plane

The equation  represents a line.  This line does NOT pass through which of the four quadrants?

Possible Answers:

III

I

Cannot be determined

II

IV

Correct answer:

III

Explanation:

Plug in  for  to find a point on the line:

Thus,  is a point on the line.

Plug in   for  to find a second point on the line:

 is another point on the line.

Now we know that the line passes through the points  and .  

A quick sketch of the two points reveals that the line passes through all but the third quadrant.

Example Question #293 : New Sat

A vase needs to be filled with water.  If the vase is a cylinder that is \dpi{100} \small 12{}'' tall with a \dpi{100} \small 2{}'' radius, how much water is needed to fill the vase?

Possible Answers:

\dpi{100} \small 96\pi

\dpi{100} \small 12\pi

\dpi{100} \small 24\pi

\dpi{100} \small 64\pi

\dpi{100} \small 48\pi

Correct answer:

\dpi{100} \small 48\pi

Explanation:

Cylinder

\dpi{100} \small V = \pi r^{2}h

\dpi{100} \small V = \pi (2)^{2}\times 12

\dpi{100} \small V = 4\times 12\pi

\dpi{100} \small V = 48\pi

Example Question #221 : Algebra

Solve for x

\small 3x+7 \geq -2x+4

 

Possible Answers:

\small x \leq \frac{3}{5}

\small x \geq \frac{3}{5}

\small x \geq -\frac{3}{5}

\small x \leq -\frac{3}{5}

Correct answer:

\small x \geq -\frac{3}{5}

Explanation:

\small 3x+7 \geq -2x+4

\small 3x \geq -2x-3

\small 5x \geq -3

\small x\geq -\frac{3}{5}

Example Question #294 : New Sat

What is the focus of the above quadratic equation?

Possible Answers:

Correct answer:

Explanation:

The focus is solved by using the following formula , where  are the coordinates of the vertex, and  is the distance from the vertex. To solve for , we use

, where  is the coefficient in front of the  term and  is the focus.

 

Since , we can substitute in to get,

Now we need to find the vertex of the equation.

Since our equation is in vertex form, we can deduce that the vertex is at 

So the focus is at 

Example Question #295 : New Sat

 

Screen shot 2016 02 12 at 9.39.26 am

The bar chart shows the number of consecutive heads for a fair coin. How many more 4 Heads were there compared to 3 Heads?

Possible Answers:

Correct answer:

Explanation:

To figure this out, we need to go to the y-axis and find the number of 4 heads and 3 Heads there were. . Now we find the difference between them, which is simply .

Example Question #296 : New Sat

Screen shot 2016 02 12 at 9.39.26 am

Find the average rate of change between 3 Heads and 5 Heads

 

Possible Answers:

Correct answer:

Explanation:

The average rate of change is calculated by the following.

So we simply do the following,

Example Question #293 : New Sat

 

 Week 1 Homework Time                       Week 2 Homework Time

                          

 

The above tables show how much time Amanda spent doing homework during the first 2 weeks of school. Which week has the largest standard deviation?

Possible Answers:

Correct answer:

Explanation:

The first step is to calculate the mean for each table.

 

Recall how to find the standard deviation

 

Now we will apply this to each table.

 

 

Since  is our answer

 

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