New SAT Math - No Calculator : New SAT Math - No Calculator

Study concepts, example questions & explanations for New SAT Math - No Calculator

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Example Questions

Example Question #1 : How To Find Compound Interest

A truck was bought for  in 2008, and it depreciates at a rate of  per year. What is the value of the truck in 2016? Round to the nearest cent.

Possible Answers:

Correct answer:

Explanation:

The first step is to convert the depreciation rate into a decimal. . Now lets recall the exponential decay model. , where  is the starting amount of money,  is the annual rate of decay, and  is time (in years). After substituting, we get

 

 

Example Question #11 : New Sat Math No Calculator

What is  in radians?

Possible Answers:

Correct answer:

Explanation:

To convert degrees to radians, we need to remember the following formula.

.

Now lets substitute for degrees.

Example Question #191 : New Sat

Trans

Lines P and Q are parallel. Find the value of .

Possible Answers:

Correct answer:

Explanation:

Since these are complementary angles, we can set up the following equation.

 

Now we will use the quadratic formula to solve for .

Note, however, that the measure of an angle cannot be negative, so  is not a viable answer. The correct answer, then, is 

 

Example Question #11 : New Sat Math No Calculator

Find the equation of a line that goes through the points , and .

Possible Answers:

Correct answer:

Explanation:

For finding the equation of a line, we will be using point-slope form, which is

, where  is the slope, and  is a point. 

We will pick the point 

If we picked the point 

 

We get the same result

Example Question #21 : How To Find The Equation Of A Line

Find the equation of a line that passes through the point , and is parallel to the line .

Possible Answers:

Correct answer:

Explanation:

Since we want a line that is parallel, we will have the same slope as the line . We can use point slope form to create an equation.

, where  is the slope and  is a point.

Example Question #1 : Rectangles

A rectangular garden has an area of . Its length is  meters longer than its width. How much fencing is needed to enclose the garden?

Possible Answers:

Correct answer:

Explanation:

We define the variables as  and .

We substitute these values into the equation for the area of a rectangle and get

 or 

Lengths cannot be negative, so the only correct answer is . If , then

Therefore, .

Example Question #191 : New Sat

If , what does  equal?

Possible Answers:

Correct answer:

Explanation:

Subtract  and  from the both sides to get

Divide both sides by , to get

 

Example Question #671 : Sat Mathematics

Screen shot 2016 02 10 at 1.10.30 pm

What is the equation of the graph?

Possible Answers:

Correct answer:

Explanation:

In order to figure out what the equation of the image is, we need to find the vertex. From the graph we can determine that the vertex is at . We can use vertex form to solve for the equation of this graph.

Recall vertex form,

, where  is the  coordinate of the vertex, and  is the  coordinate of the vertex.

Plugging in our values, we get

To solve for , we need to pick a point on the graph and plug it into our equation.

I will pick .

Now our equation is

Let's expand this,

Example Question #11 : New Sat Math No Calculator

Which expression is equivalent to the following quotient? For .

Possible Answers:

Correct answer:

Explanation:

All we need to do is remember the quotient rule for exponents.

We apply this to each term and we get the following.

 

Example Question #101 : Algebra

Solve for x:

Possible Answers:

Correct answer:

Explanation:

The first step is to cancel out the denominator by multiplying both sides by 7:

Subtract 3 from both sides to get  by itself:

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