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GED Math : Algebra

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4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #23 : Finding Slope And Intercepts

Find the slope of the following equation: 2x-6y = 7x

Possible Answers:

$-\frac{1}{2}$

$-\frac{5}{6}$

$-\frac{7}{12}$

$\frac{7}{4}$

$\frac{6}{5}$

Correct answer:

$-\frac{5}{6}$

Explanation:

Subtract from both sides.

2x-6y-2x = 7x-2x

-6y = 5x

Divide by negative 6 on both sides.

$\frac{-6y}{-6} =\frac{ 5x}{-6}$

$y=-\frac{5}{6}x$

The answer is: $-\frac{5}{6}$

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Example Question #31 : Finding Slope And Intercepts

Find the slope of the following line:

8y=72x+16

Possible Answers:

Correct answer:

Explanation:

To find the slope, we will write the equation in slope-intercept form:

y=mx+b

where m is the slope and b is the y-intercept.

So, given the equation

8y=72x+16

we will solve for y. We get

$\frac{8y}{8} = \frac{72x}{8} + \frac{16}{8}$

y = 9x+2

Now, if we compare this equation to the slope-intercept form above, we can see that 9 is the slope.

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Example Question #32 : Finding Slope And Intercepts

Find the y-intercept of the following equation:

8y=72x+16

Possible Answers:

Correct answer:

Explanation:

To find the y-intercept, we will write the equation in slope-intercept form:

y=mx+b

where m is the slope and b is the y-intercept.

So, given the equation

8y=72x+16

we will solve for y. We get

$\frac{8y}{8} = \frac{72x}{8} + \frac{16}{8}$

y = 9x+2

So, if we compare this equation to the formula above, we can see that the y-intercept is 2.

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Example Question #271 : Algebra

What is the y-intercept to the equation y= -3x+9 ?

Possible Answers:

$-\frac{1}{3}$

Correct answer:

Explanation:

The equation is already given in slope-intercept format.

y=mx+b

The y-intercept is denoted by the letter .

The answer is:

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Example Question #32 : Finding Slope And Intercepts

What is the slope of the following equation? 2y= 2(-2x-3)

Possible Answers:

$\frac{1}{2}$

$-\frac{1}{2}$

Correct answer:

Explanation:

Rewrite the equation in slope-intercept format:

y=mx+b

Divide both sides by two.

$\frac{2y}{2}= \frac{2(-2x-3)}{2}$

y= -2x-3

The slope is .

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Example Question #32 : Finding Slope And Intercepts

Find the slope given the following equation: y = 50x-63

Possible Answers:

$-\frac{63}{50}$

Correct answer:

Explanation:

The slope is the value of in the slope-intercept equation: y=mx+b

The equation is already given in slope-intercept format.

This means that the slope is:

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Example Question #831 : Ged Math

Find the slope of the following equation: 2x-9x+3=2y

Possible Answers:

$\frac{7}{6}$

$-\frac{7}{2}$

$-\frac{3}{2}$

Correct answer:

$-\frac{7}{2}$

Explanation:

Combine like terms of the left.

-7x+3=2y

Divide by 2 on both sides.

$\frac{-7x+3}{2}=\frac{2y}{2}$

$y= -\frac{7}{2}x + \frac{3}{2}$

Now that the equation is in slope-intercept form y=mx+b , we can identify the coefficient in front of the x-variable.

The answer is: $-\frac{7}{2}$

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Example Question #32 : Finding Slope And Intercepts

Find the slope of the line which passes through the following points:

(4,5) (97,104)

Possible Answers:

$\frac{31}{33}$

$\frac{-33}{31}$

$\frac{33}{93}$

$\frac{33}{31}$

Correct answer:

$\frac{33}{31}$

Explanation:

Find the slope of the line which passes through the following points:

(4,5) (97,104)

To find the slope of a line, use the following formula

$m=\frac{y_1-y_2}{x_1-x_2}$

Note that it doesn't matter which point is "1" and which point is "2," so long as we are consistent.

Let's make our points

Point 1:

(97,104)

Point 2:

(4,5)

Now, recall that points are an x and a y value as follows: (x,y)

$m=\frac{104-5}{97-4}=\frac{99}{93}=\frac{33}{31}$

So, our slope is

$\frac{33}{31}$

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Example Question #34 : Finding Slope And Intercepts

Which of the following lines are perpendicular to the following equation?

$y=-\frac{1}{4}x+36$

Possible Answers:

$y=\frac{1}{4}x$

y=-4x+36

$y=-\frac{1}{8}x+36$

y=4x+33

Correct answer:

y=4x+33

Explanation:

Which of the following lines are perpendicular to the following equation?

$y=-\frac{1}{4}x+36$

Perpendicular lines have opposite reciprocal slopes. This means that our answer will have a slope that is positive, and will be the reciprocal of one-fourth.

$\frac{1}{4}\rightarrow4$

So, our answer must have a slope of 4.

Try this!

y=4x+33

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Example Question #31 : Finding Slope And Intercepts

Give the -coordinate of the -intercept of the line of the equation

4x = 3y + 17

Possible Answers:

$4\frac{1}{4}$

$-5\frac{2}{3}$

Correct answer:

$-5\frac{2}{3}$

Explanation:

the -intercept of the line is the point at which it intersects the -axis. The -coordinate of the point is 0, so substitute 0 for in the equation and solve for :

4x = 3y + 17

4 (0)= 3y + 17

0= 3y + 17

Isolate on one side by first subtracting 17 from both sides:

0-17 = 3y + 17 - 17

-17 = 3y

Divide both sides by 3:

$\frac{-17}{3} = \frac{3y}{3}$

$y = -5\frac{2}{3}$ ,

the correct choice.

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All GED Math Resources

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GED Math : Algebra

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #23 : Finding Slope And Intercepts

Example Question #31 : Finding Slope And Intercepts

Example Question #32 : Finding Slope And Intercepts

Example Question #271 : Algebra

Example Question #32 : Finding Slope And Intercepts

Example Question #32 : Finding Slope And Intercepts

Example Question #831 : Ged Math

Example Question #32 : Finding Slope And Intercepts

Example Question #34 : Finding Slope And Intercepts

Example Question #31 : Finding Slope And Intercepts

All GED Math Resources

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