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SAT II Math II : SAT Subject Test in Math II

Study concepts, example questions & explanations for SAT II Math II

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All SAT II Math II Resources

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Example Questions

Example Question #241 : Sat Subject Test In Math Ii

Find the x-intercept of the following equation:

2y+6x=5

Possible Answers:

x=3

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

y=3

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

Correct answer:

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

Explanation:

In order to find the x-intercept, set y=0 then solve for x. For this equation that looks as follows:

$2y+6x=5\rightarrow 0+6x=5$

Divide by 6 to get x by itself:

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

This gives a final answer of x=5/6

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Example Question #242 : Sat Subject Test In Math Ii

Find the y-intercept of the following equation:

2x+6y=15

Possible Answers:

$x=\frac{15}{6}$ y=3

x=6

$y=\frac{15}{6}$

x=5

Correct answer:

$y=\frac{15}{6}$

Explanation:

In order to find the y-intercept, set x=0 then solve for y. For this equation that looks as follows:

$2x+6y=15\rightarrow 0+6y=15$

Divide both sides by 6 to get y by itself:

$\frac{6y}{6}=\frac{15}{6}$

This gives a final answer of y=15/6

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Example Question #243 : Sat Subject Test In Math Ii

Find the y-intercept of the following equation:

2y=12x+3

Possible Answers:

x=3

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

y=2

$y=\frac{3}{2}$

Correct answer:

$y=\frac{3}{2}$

Explanation:

In order to find the y-intercept, set x=0 then solve for y. For this equation that looks as follows:

$2y=12x+3\rightarrow 2y=0+3$

Divide both sides by 2 to get y by itself:

$\frac{2y}{2}=\frac{3}{2}$

This gives a final answer of y=3/2

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Example Question #244 : Sat Subject Test In Math Ii

Find the y-intercept of the following equation:

3x-y=12

Possible Answers:

y=12

x=12

y=-12

x=-12

Correct answer:

y=-12

Explanation:

In order to find the y-intercept, set x=0 then solve for y. For this equation that looks as follows:

$3x-y=12\rightarrow 0-y=12$

Divide both sides by -1 to get y by itself:

$\frac{-1y}{-1}=\frac{12}{-1}$

This gives a final answer of y=-12

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Example Question #245 : Sat Subject Test In Math Ii

Find the y-intercept of the following equation:

y=6x+2

Possible Answers:

y=3

x=6

x=2

y=2

Correct answer:

y=2

Explanation:

In order to find the y-intercept, set x=0 then solve for y. For this equation that looks as follows:

$y=6x+2\rightarrow y=0+2$

This gives a final answer of y=2

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Example Question #34 : Functions And Graphs

What is the y-intercept of the following equation? 2y-2 = 2x+2

Possible Answers:

$-\frac{1}{2}$

$\textup{The equation is not linear.}$

Correct answer:

Explanation:

Rewrite the equation in slope-intercept form:

y=mx+b

Our objective is to determine the value of , which represents the y-intercept.

Add two on both sides.

2y-2 +(2)= 2x+2+(2)

2y= 2x+4

Divide by 2 on both sides.

$\frac{2y}{2}=\frac{ 2x+4}{2}$

y= x+2

The value of b =2 .

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Example Question #23 : X Intercept And Y Intercept

What is the y-intercept of the following? y=2(2x-3)^2

Possible Answers:

Correct answer:

Explanation:

The y-intercept is the value of when x=0 .

Substitute the value of x=0 into the given equation.

y=2(2(0)-3)^2 = 2(0-3)^2 = 2(-3)^2 = 2(9)

The answer is:

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Example Question #23 : X Intercept And Y Intercept

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

Possible Answers:

$\frac{2}{3}$

$-\frac{3}{2}$

$\frac{3}{2}$

Correct answer:

$\frac{2}{3}$

Explanation:

The x-intercept is the value of x when y=0 .

0= 3x-2

Add two on both sides, and then divide both sides by three.

0+2= 3x-2+2

2=3x

The answer is: $\frac{2}{3}$

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Example Question #26 : X Intercept And Y Intercept

Define $h(x)=6- \log _{3}\left ( x-7 \right )$ .

Give the -coordinate of the -intercept of the graph of (nearest hundredth).

Possible Answers:

6.56

5.44

The graph of has no -intercept.

7.77

4.23

Correct answer:

The graph of has no -intercept.

Explanation:

Evaluate h(0) :

$h(x)=6- \log _{3}\left ( x-7 \right )$

$h(0)=6- \log _{3}\left ( 0-7 \right )$

$h(0)=6- \log _{3}\left ( -7 \right )$

A negative number cannot have a logarithm, so h(0) is an undefined expression. Therefore, the graph of has no -intercept.

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Example Question #1 : Slope

What is the slopeof the line between the points (-1,0) and (3,5)?

Possible Answers:

$\frac{3}{2}$

$\frac{5}{4}$

Correct answer:

$\frac{5}{4}$

Explanation:

For this problem we will need to use the slope equation:

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

In our case (x_1, y_1)=(-1,0) and (x_2, y_2)=(3,5)

Therefore, our slope equation would read:

$m=\frac{5-0}{3--1}=\frac{5}{4}$

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All SAT II Math II Resources

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SAT II Math II : SAT Subject Test in Math II

Study concepts, example questions & explanations for SAT II Math II

All SAT II Math II Resources

Example Questions

Example Question #241 : Sat Subject Test In Math Ii

Example Question #242 : Sat Subject Test In Math Ii

Example Question #243 : Sat Subject Test In Math Ii

Example Question #244 : Sat Subject Test In Math Ii

Example Question #245 : Sat Subject Test In Math Ii

Example Question #34 : Functions And Graphs

Example Question #23 : X Intercept And Y Intercept

Example Question #23 : X Intercept And Y Intercept

Example Question #26 : X Intercept And Y Intercept

Example Question #1 : Slope

All SAT II Math II Resources

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