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High School Math : High School Math

Study concepts, example questions & explanations for High School Math

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All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1121 : High School Math

Solve for if, $x^{3}=27$ .

Possible Answers:

x=13

x=6

x=9

x=3

Correct answer:

x=3

Explanation:

To solve an equation with we must take the cube root of each side of the equation to get by itself.

Doing this makes our problem look like $\sqrt[3]{x^{3}}=\sqrt[3]{27}$

Then we perform the cube root to get the answer x=3 .

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Example Question #1122 : High School Math

What is the slope of the line y=5x-32 .

Possible Answers:

Correct answer:

Explanation:

In the standard form of a line the slope is represented by the variable .

In this case the line y=5x-32 has a slope of .

The answer is .

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Example Question #1 : How To Identify A Point In Pre Algebra

If the equation of a line is y=4x+15 , what is the y-intercept?

Possible Answers:

(15,0)

(4,15)

(0,4)

(0,15)

Correct answer:

(0,15)

Explanation:

In the slope-intercept form of a line, , the y-intercept when the line intersects the y-axis.

It does this at x=0 .

So we plug in for in our equation y=4x+15 to give us y=4(0)+15 .

Anything multiplied by is so y=15 .

Our coordinates for the y-intercept are (0,15) .

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Example Question #3 : How To Identify A Point In Pre Algebra

What is the y-intercept of the line y=9x-17 ?

Possible Answers:

(-17,0)

(0,-17)

(0,9)

(9,0)

Correct answer:

(0,-17)

Explanation:

In the standard form of a line the y-intercept occurs when the line intersects the y-axis.

It does this at

So we plug in for in our equation y=9x-17 to give us y=9(0)-17 .

Anything multiplied by is so .

Our coordinates for the y-intercept are (0,-17) .

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Example Question #4 : How To Identify A Point In Pre Algebra

What is the slope of a line that is parallel to y=5x+64 ?

Possible Answers:

$\frac{1}{5}$

$-\frac{1}{5}$

Correct answer:

Explanation:

Parallel lines have the same slope.

If an equation is in point-slope form, y=mx+b , we take the from our equation and set it equal to the slope of our parallel line.

In this case m=5

The slope of our parallel line is .

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Example Question #1123 : High School Math

Define the point based on the coordinate plane.

Possible Answers:

(3,-5)

(-3,5)

(-3,-5)

(3,5)

Correct answer:

(3,5)

Explanation:

The point resides in quadrant I (the upper right quadrant), so both values must both be positive. The only possible solution is $\small (3,5)$ .

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Example Question #1124 : High School Math

What is the slope of a line that is perpendicular to y=-15x-31 ?

Possible Answers:

$\frac{1}{15}$

$\frac{1}{5}$

Correct answer:

$\frac{1}{15}$

Explanation:

The slope of a perpendicular lines has the negative reciprocal of the slope of the original line.

If an equation is in point-slope form, , we use the from our equation as our original slope.

In this case m=-15

First flip the sign to get m=15 .

To find the reciprocal you take the integer and make it a fraction by placing a over it. If it is already a fraction just flip the numerator and denominator.

Do this to make the slope $m=\frac{1}{15}$

The slope of the perpendicular line is $\frac{1}{15}$ .

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Example Question #1125 : High School Math

What is the slope of the line with the equation y=13x+17 ?

Possible Answers:

m=-4

m=4

m=17

m=13

Correct answer:

m=13

Explanation:

In the standard form equation of a line, , the slope is represented by the variable .

In this case the line y=13x+17 has a slope of .

Therefore the answer is m=13 .

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Example Question #2 : Graphing Lines

What is the slope of the line y=15x+92 ?

Possible Answers:

m=35

m=15

m=5

m=92

Correct answer:

m=15

Explanation:

In the slope-intercept form of a line, , the slope is represented by the variable .

In this case the line

has a slope of .

The answer is m=15 .

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Example Question #3 : Graphing Lines

What is the y-intercept of the line y=31x-65 ?

Possible Answers:

(-65,0)

(0,-65)

(0,31)

(31,0)

Correct answer:

(0,-65)

Explanation:

In the slope-intercept form of a line, , the y-intercept is when the line intersects the y-axis.

It does this at .

So we plug in for in our equation

y=31x-65

to give us

y=31(0)-65

Anything multiplied by is so

y=-65

Our coordinates for the y-intercept are (0,-65) .

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All High School Math Resources

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High School Math : High School Math

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #1121 : High School Math

Example Question #1122 : High School Math

Example Question #1 : How To Identify A Point In Pre Algebra

Example Question #3 : How To Identify A Point In Pre Algebra

Example Question #4 : How To Identify A Point In Pre Algebra

Example Question #1123 : High School Math

Example Question #1124 : High School Math

Example Question #1125 : High School Math

Example Question #2 : Graphing Lines

Example Question #3 : Graphing Lines

All High School Math Resources

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