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High School Math : High School Math

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1451 : High School Math

List the first 4 terms of an arithmetic sequence with a first term of 3, and a common difference of 5.

Possible Answers:

5, 8, 10, 13

3, 8, 13, 18

5, 10, 15, 20

Correct answer:

3, 8, 13, 18

Explanation:

An arithmetic sequence is one in which the common difference is added to one term to get the next term. Thus, if the first term is 3, we add 5 to get the second term, and continue in this manner.

Thus, the first four terms are:

3, 8, 13, 18

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Example Question #1 : How To Graph An Ordered Pair

The vertices of a triangle are given by $(0,3), \; (0,5),\; and \; (-2,4)$ . The triangle is rotated about the origin by degrees clockwise. What are the new coordinates?

Possible Answers:

$(-9,0), \; (-15,0),\; and \; (-12,-6)$

$(3,0), \; (5,0),\; and \; (4,2)$

$(6,0), \; (10,0),\; and \; (8,4)$

$(-3,0), \; (-5,0),\; and \; (-4,-2)$

$(4,1), \; (6,1),\; and \; (5,3)$

Correct answer:

$(3,0), \; (5,0),\; and \; (4,2)$

Explanation:

The coordinates form a triangle in the second quadrant with a side along the y-axis. The rotation about the origin by degrees clockwise results in a triangle in the first quadrant with a side along the x-axis. There are two responses that give triangles along the x-axis:

$(3,0), \; (5,0),\; and \; (4,2)$ and

$(6,0), \; (10,0),\; and \; (8,4)$

A rotation and a dialation by a factor of is given by

$(6,0), \; (10,0),\; and \; (8,4)$ , so the correct answer is $(3,0), \; (5,0),\; and \; (4,2)$

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Example Question #1452 : High School Math

What is the y-intercept of the equation?

y=5x+5

Possible Answers:

(0,25)

(0,5)

(0,0)

$(0,\frac{1}{5})$

(0,1)

Correct answer:

(0,5)

Explanation:

To find the y-intercept, we set the value equal to zero and solve for the value of .

y=5x+5

y=5(0)+5

y=0+5

y=5

Since the y-intercept is a point, we want to write our answer in point notation: (0,5) .

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Example Question #1453 : High School Math

What is the x-intercept of the equation?

$y=\frac{2}{3}x+ 12$

Possible Answers:

(0,0)

(-12,0)

(6,0)

(-18,0

$(\frac{2}{3},0)$

Correct answer:

(-18,0

Explanation:

To find the x-intercept of an equation, set the value equal to zero and solve for .

$y=\frac{2}{3}x+ 12$

$0 =\frac{2}{3}x+12$

Subtract from both sides.

$0 -12 = \frac{2}{3}x +12 - 12$

$-12 = \frac{2}{3} x$

Multiply both sides by $\frac{3}{2}$ .

$(\frac{3}{2})(-12) = (\frac{2}{3} x)(\frac{3}{2})$

-18= x

Since the x-intercept is a point, we will want to write it in point notation: (-18,0

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Example Question #3 : How To Find X Or Y Intercept

What is the y-intercept of y=5x+20?

Possible Answers:

100

$\frac{1}{4}$

Correct answer:

Explanation:

To solve for the y-intercept, set the x value equal to zero:

y=5x+20

y=5(0)+20

y=20

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Example Question #1454 : High School Math

What is the x-intercept of y=5x+20 ?

Possible Answers:

$-\frac{1}{4}$

Correct answer:

Explanation:

To solve for the x-intercept, set the y value equal to zero:

y=5x+20

0=5x+20

Subtract from both sides:

-20=5x

$\frac{-20}{5}=x$

-4=x

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Example Question #5 : How To Find X Or Y Intercept

What is the y-intercept of 2y=3x+5 ?

Possible Answers:

$\frac{10}{3}$

$\frac{1}{2}$

$\frac{5}{2}$

$\frac{2}{5}$

Correct answer:

$\frac{5}{2}$

Explanation:

To find the y-intercept, set the x value to zero and solve:

2y=3x+5

2y=3(0)+5

2y=5

$y=\frac{5}{2}$

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Example Question #1455 : High School Math

What is the x-intercept of $y=\frac{2}{3}x+6$ ?

Possible Answers:

x=9

x=-9

x=0

x=-4

x=6

Correct answer:

x=-9

Explanation:

To solve for the x-intercept, we set the value equal to and solve.

$y=\frac{2}{3}x+6$

$0=\frac{2}{3}x+6$

$-6=\frac{2}{3}x$

$\frac{3}{2}*-6=x$

-9=x

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Example Question #1456 : High School Math

What is the y-intercept of $y=\frac{2}{3}x+6$ ?

Possible Answers:

y=-6

y=-9

y=18

y=6

y=4

Correct answer:

y=6

Explanation:

When looking at an equation in standard y=mx+b form, is our y-intercept.

Or, set the value equal to and solve.

$y=\frac{2}{3}x+6$

$y=\frac{2}{3}(0)+6$

y=6

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Example Question #1457 : High School Math

What is the y-intercept of 5x+6y=-12 ?

Possible Answers:

Correct answer:

Explanation:

Isolate for so that the equation is in slope-intercept form y=mx+b .

The is the y-intercept, which in this case, is .

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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 #1451 : High School Math

Example Question #1 : How To Graph An Ordered Pair

Example Question #1452 : High School Math

Example Question #1453 : High School Math

Example Question #3 : How To Find X Or Y Intercept

Example Question #1454 : High School Math

Example Question #5 : How To Find X Or Y Intercept

Example Question #1455 : High School Math

Example Question #1456 : High School Math

Example Question #1457 : High School Math

All High School Math Resources

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