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 #11 : Word Problems

If a rectangle possesses a width of  and has a perimeter of , then what is the length? 

 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall the formula for perimeter of a rectangle:

We can substitute in our known values and solve for our unknown variable (i.e. length):

We want to isolate the  to one side of the equation. In order to do this, we will first subtract  from both sides of the equation. 

Next, we can divide each side by 

The length of the rectangle is 

Example Question #12 : Word Problems

If a rectangle possesses a width of  and has a perimeter of , then what is the length? 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall the formula for perimeter of a rectangle:

We can substitute in our known values and solve for our unknown variable (i.e. length):

We want to isolate the  to one side of the equation. In order to do this, we will first subtract  from both sides of the equation. 

Next, we can divide each side by 

The length of the rectangle is 

Example Question #13 : Word Problems

If a rectangle possesses a width of  and has a perimeter of , then what is the length? 

 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall the formula for perimeter of a rectangle:

We can substitute in our known values and solve for our unknown variable (i.e. length):

We want to isolate the  to one side of the equation. In order to do this, we will first subtract  from both sides of the equation. 

Next, we can divide each side by 

The length of the rectangle is 

Example Question #14 : Word Problems

If a rectangle possesses a width of  and has a perimeter of , then what is the length? 

 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall the formula for perimeter of a rectangle:

We can substitute in our known values and solve for our unknown variable (i.e. length):

We want to isolate the  to one side of the equation. In order to do this, we will first subtract  from both sides of the equation. 

Next, we can divide each side by 

The length of the rectangle is 

Example Question #15 : Word Problems

If a rectangle possesses a width of  and has a perimeter of , then what is the length? 

 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall the formula for perimeter of a rectangle:

We can substitute in our known values and solve for our unknown variable (i.e. length):

We want to isolate the  to one side of the equation. In order to do this, we will first subtract  from both sides of the equation. 

Next, we can divide each side by 

The length of the rectangle is 

Example Question #501 : New Sat

If a rectangle possesses a width of  and has a perimeter of , then what is the length? 

 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall the formula for perimeter of a rectangle:

We can substitute in our known values and solve for our unknown variable (i.e. length):

We want to isolate the  to one side of the equation. In order to do this, we will first subtract  from both sides of the equation. 

Next, we can divide each side by 

The length of the rectangle is 

Example Question #1 : Systems Of Inequalities

Solve the following inequality for . Round your answer to the nearest tenth.

Possible Answers:

Correct answer:

Explanation:

The first step is to square each side of the inequality.

Now simplify each side.

Now subtract the left side of the inequality to make it zero, so that we can use the quadratic formula.

Now we can use the quadratic formula.

Recall the quadratic formula.

Where , and , correspond to coefficients in the quadratic equation.

In this case  ,  , and .

Now plug these values into the quadratic equation, and we get.

Now since we are dealing with an inequality, we put the least value on the left side, and the greatest value on the right. It will look like the following.

Example Question #502 : New Sat

Solve the following inequality for , round your answer to the nearest tenth.

Possible Answers:

Correct answer:

Explanation:

The first step is to square each side of the inequality.

Now simplify each side.

Now subtract the left side of the inequality to make it zero, so that we can use the quadratic formula.

Now we can use the quadratic formula.

Recall the quadratic formula.

Where , , and , correspond to coefficients in the quadratic equation.

In this case , and .

Now plug these values into the quadratic equation, and we get.

Now since we are dealing with an inequality, we put the least value on the left side, and the greatest value on the right. It will look like the following.

 

Example Question #1 : Inequalities And Absolute Value

Solve the following inequality for , round your answer to the nearest tenth.

Possible Answers:

Correct answer:

Explanation:

The first step is to square each side of the inequality.

Now simplify each side.

Now subtract the left side of the inequality to make it zero, so that we can use the quadratic formula.

Now we can use the quadratic formula.

Recall the quadratic formula.

Where , , and , correspond to coefficients in the quadratic equation.

In this case  ,  , and .

Now plug these values into the quadratic equation, and we get.

Now since we are dealing with an inequality, we put the least value on the left side, and the greatest value on the right. It will look like the following.

 

Example Question #3 : Inequalities And Absolute Value

Solve the following inequality for , round your answer to the nearest tenth.

Possible Answers:

Correct answer:

Explanation:

The first step is to square each side of the inequality.

Now simplify each side.

Now subtract the left side of the inequality to make it zero, so that we can use the quadratic formula.

Now we can use the quadratic formula.

Recall the quadratic formula.

Where , , and , correspond to coefficients in the quadratic equation.

In this case  ,  , and .

Now plug these values into the quadratic equation, and we get.

Now since we are dealing with an inequality, we put the least value on the left side, and the greatest value on the right. It will look like the following.

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