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Algebra 1 : Algebraic Functions

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 #71 : Algebraic Functions

Given a function $f(x)=-(x^{2})+4x-10$ , what is f(3) ?

Possible Answers:

Correct answer:

Explanation:

Given a function

$f(x)=-(x^{2})+4x-10$ ,

we can plug in x=3 to get

$f(x)=-((3)^{2})+4(3)-10=-9+12-10=3-10=-7$ .

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Example Question #71 : Algebraic Functions

Given a function $f(x)=\frac{x^{2}-4x+11}{2}$ , what is f(7) ?

Possible Answers:

Correct answer:

Explanation:

Given a function

$f(x)=\frac{x^{2}-4x+11}{2}$ ,

we can plug in x=7 to get

$f(7)=\frac{(7)^{2}-4(7)+11}{2}=\frac{49-28+11}{2}=\frac{21+11}{2}=\frac{32}{2}=16$ .

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Example Question #73 : Algebraic Functions

Solve for : x-7=7 .

Possible Answers:

Correct answer:

Explanation:

In order to solve for in the above equation, we must isolate it on one side of the equation. We can do this by applying an operation to that is the inverse (opposite) of what's currently being applied to .

Given x-7=7 , we see that is being subtracted from , so we need to add to both sides of the equation to isolate :

x-7=7

x-7+7=7+7

x=14

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Example Question #74 : Algebraic Functions

Given a function $f(x)=-x^{2}-\frac{1}{x}+3x$ , what is f(2) ?

Possible Answers:

$\frac{3}{2}$

$\frac{5}{2}$

$\frac{1}{2}$

$-\frac{1}{2}$

$\frac{7}{2}$

Correct answer:

$\frac{3}{2}$

Explanation:

Given a function

$f(x)=-x^{2}-\frac{1}{x}+3x$ ,

we can plug in x=2 to get

$f(2)=-(2)^{2}-\frac{1}{(2)}+3(2)=-4-\frac{1}{2}+6=2-\frac{1}{2}=\frac{3}{2}$ .

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Example Question #75 : Algebraic Functions

Given a function $f(x)=3x^{2}-10+2x$ , what is f(1) ?

Possible Answers:

Correct answer:

Explanation:

Given a function

$f(x)=3x^{2}-10+2x$ ,

we can plug in x=1 to get

$f(1)=3(1)^{2}-10+2(1)=3-10+2=-7+2=-5$ .

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Example Question #3401 : Algebra 1

Given a function $f(x)=\frac{3}4{x}+\frac{5}{3}$ , what is $f(\frac{4}{3})$ ?

Possible Answers:

$\frac{8}{5}$

$\frac{5}{}8$

$\frac{3}{5}$

$\frac{3}{8}$

$\frac{8}{3}$

Correct answer:

$\frac{8}{3}$

Explanation:

Given a function

$f(x)=\frac{3}4{x}+\frac{5}{3}$ ,

we can plug in $x=\frac{4}{3}$ to get

$f(\frac{4}{3})=\frac{3}4({\frac{4}{3}})+\frac{5}{3}=1+\frac{5}{3}=\frac{3}{3}+\frac{5}{3}=\frac{8}{3}$ .

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Example Question #121 : Functions And Lines

Given a function $f(x)=x^{3}-\frac{1}{x^{2}}$ , what is f(2) ?

Possible Answers:

$\frac{29}{4}$

$\frac{30}{4}$

$\frac{33}{4}$

$\frac{32}{4}$

$\frac{31}{4}$

Correct answer:

$\frac{31}{4}$

Explanation:

Given a function

$f(x)=x^{3}-\frac{1}{x^{2}}$ ,

we can plug in x=2 to get

$f(2)=(2)^{3}-\frac{1}{(2)^{2}}=8-\frac{1}{4}=\frac{32}{4}-\frac{1}{4}=\frac{31}{4}$ .

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Example Question #71 : Algebraic Functions

Given a function $f(x)=2x^{2}-3x$ , what is f(10) ?

Possible Answers:

150

170

160

190

180

Correct answer:

170

Explanation:

Given a function

$f(x)=2x^{2}-3x$ ,

we can plug in x=10 to get

$f(10)=2(10)^{2}-3(10)=200-30=170$ .

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Example Question #71 : Algebraic Functions

Given a function $f(x)=x-(\frac{x^{2}-1}{3})$ , what is f(5) ?

Possible Answers:

$-\frac{1}{3}$

$\frac{1}{3}$

$\frac{5}{3}$

Correct answer:

Explanation:

Given a function

$f(x)=x-\left(\frac{x^{2}-1}{3}\right)$ ,

we can plug in x=5 to get

$f(5)=5-\left(\frac{(5)^{2}-1}{3}\right)=5-\frac{24}{3}=5-8=-3$

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Example Question #71 : Algebraic Functions

Given the function f(x) = 4x+6 , what is $f(\frac{2}{7})$ ?

Possible Answers:

$\frac{24}{7}$

$\frac{12}{7}$

$\frac{48}{7}$

$\frac{50}{7}$

Correct answer:

$\frac{50}{7}$

Explanation:

Start by replacing the number with the term in the function.

$f(\frac{2}{7}) = 4(\frac{2}{7})+6$

Simplify by distributing the four with the two in the numerator.

$4(\frac{2}{7})+6 = \frac{8}{7}+6$

Convert $\frac{6}{1}$ to $\frac{42}{7}$ and replace so that fractions with like denominators can be added.

$\frac{8}{7}+6 = \frac{8}{7}+ \frac{42}{7} = \frac{50}{7}$

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Algebra 1 : Algebraic Functions

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #71 : Algebraic Functions

Example Question #71 : Algebraic Functions

Example Question #73 : Algebraic Functions

Example Question #74 : Algebraic Functions

Example Question #75 : Algebraic Functions

Example Question #3401 : Algebra 1

Example Question #121 : Functions And Lines

Example Question #71 : Algebraic Functions

Example Question #71 : Algebraic Functions

Example Question #71 : Algebraic Functions

All Algebra 1 Resources

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