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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #3371 : Algebra 1

$f(x)=\frac{4x-2}{x+3}, x\neq-3$

Solve for f(x) , when x=0 .

Possible Answers:

$f(x)=\frac{-1}{3}$

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

$f(x)=\frac{2}{3}$

f(x)=0

$f(x)=\frac{1}{3}$

Correct answer:

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

Explanation:

$f(x)=\frac{4x-2}{x+3}, x\neq-3$

Plug in the value for .

$f(0)=\frac{4(0)-2}{(0)+3}$

Simplify

$f(0)=\frac{0-2}{3}$

Subtract

$f(0)=\frac{-2}{3}$

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Example Question #3372 : Algebra 1

For the following equation, if x = 2, what is y?

y=x^3-4x+9

Possible Answers:

Correct answer:

Explanation:

On the equation, replace x with 2 and then simplify.

y=x^3-4x+9

y=(2)^3-4(2)+9

y=8-8+9

y=9

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Example Question #3373 : Algebra 1

Solve for f(3) when $f(x)= \frac{x^{2}+12x}{3x}$ .

Possible Answers:

Does not exist

f(3)=16

f(3)=5

f(3)=3

f(3)=9

Correct answer:

f(3)=5

Explanation:

Plug 3 in for x:

$f(3)=\frac{(3^{2})+12*3}{3*3}$

Simplify:

= $\frac{9+36}{9}$

= 5

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Example Question #12 : Function Notation

What is f(7) of the following equation?

$f(x)=x^{2}+15x+35$

Possible Answers:

188

190

187

189

Correct answer:

189

Explanation:

To complete an equation with a function, plug the number inside the parentheses into the equation for and solve algebraically.

In this case the $f(7)=7^{2}+(15*7)+35$

Square the 7 and multiply to get f(7)=49+105+35

Add the numbers to get the answer f(7)=189 .

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Example Question #3374 : Algebra 1

$\textup{If }f(p)= p^{3}-3p,\;\textup{what is the value of }f(5)\textup{?}$

Possible Answers:

140

107

110

Correct answer:

110

Explanation:

$\textup{Just plug in 5 every time you see }p\textup{ in the equation and solve:}$

$\left ( 5\right )^{3}-3\left ( 5\right )=125-15=110$

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Example Question #14 : Function Notation

$\textup{If }f\left(x\right )=\frac{3x^{2}-2x}{x}\textup{ , what is the value of}f\left ( 4\right )\textup{?}$

Possible Answers:

Correct answer:

Explanation:

$\textup{Plug in 4 every time you see an }x\textup{ in the given equation and solve:}$

$f\left ( 4\right )=\frac{3\left ( 4\right )^{2}-2\left ( 4\right )}{4}\;\;=\frac{48-8}{4}=10$

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Example Question #91 : Functions And Lines

$\small f(x)=2x+17$ .

Find $\small f(-3)$ .

Possible Answers:

$\small 11$

$\small 34$

$\small 16$

$\small 23$

Correct answer:

$\small 11$

Explanation:

Finding $\small f(-3)$ means plugging in $\small -3$ in place of x into the function $\small f(x)$ . In this case, we are told that $\small f(x)=2x+17$ , so we are multiplying $\small -3$ by 2 and then adding 17:

$\small \small f(-3)=2(-3)+17$ order of opperations tells us to first multiply:

$\small f(-3)=-6+17$ and now add:

$\small f(-3)= 11$

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Example Question #43 : How To Find F(X)

$\small f(x)=(2x)^2$ .

Evaluate $\small f(5)$ .

Possible Answers:

$\small 50$

$\small 100$

$\small 25$

Correct answer:

$\small 100$

Explanation:

Evaluating f(5) means plugging 5 in for x in the function $\small f(x)$ . In this case, we are told that $\small f(x)=(2x)^2$ , so that is what we will do to 5 - multiply by 2, then square the product:

$\small f(5)=(2*5)^2$ order of opperations [PEMDAS] tells us that first we will be doing what is in the parentheses, so we will multiply first:

$\small f(5)=10^2$ now we can square 10 for the final answer:

$\small f(5)=100$

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Example Question #43 : Algebraic Functions

$\small k(x)=3x^2 - 10$ .

Find $\small k(2)$ .

Possible Answers:

$\small 26$

$\small -1$

$\small 2$

Correct answer:

$\small 2$

Explanation:

Evaluating $\small k(2)$ means plugging in 2 for x in the function $\small k(x)$ . In this case we are told that $\small k(x)=3x^2 - 10$ , so that is what we'll do with 2:

$\small \small \small k(2)=3*2^2 - 10$ Order of opperations [PEMDAS] tells us to do parentheses first, but no opperations are taking place in parentheses. Next we will do exponents:

$\small k(2)=3*4 -10$ The next step in order of opperations is multiplication, so we will next multiply 3 and 4:

$\small k(2)=12-10$ finally we will subtract:

$\small k(2)=2$

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Example Question #42 : How To Find F(X)

If f(x) is the reciprocal of the following function what is f(x) ?

$\frac{x^3}{y-x}$

Possible Answers:

$\frac{x}{(y-x)^3}$

$\frac{y-x}{x^3}$

$\frac{x^2}{y-1}$

$\frac{-x^3}{y+x}$

x^3(y-x)

Correct answer:

$\frac{y-x}{x^3}$

Explanation:

The question is asking for the reciprocal.

The reciprocal can be found by flipping the numerator and the denominator, effectively dividing 1 by the number.

$\frac{x^3}{y-x}$ becomes $\frac{y-x}{x^3}$ .

*Always remember what the question is asking.

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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #3371 : Algebra 1

Example Question #3372 : Algebra 1

Example Question #3373 : Algebra 1

Example Question #12 : Function Notation

Example Question #3374 : Algebra 1

Example Question #14 : Function Notation

Example Question #91 : Functions And Lines

Example Question #43 : How To Find F(X)

Example Question #43 : Algebraic Functions

Example Question #42 : How To Find F(X)

All Algebra 1 Resources

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