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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 #1 : Functions

$f(x) = \frac{x^{4}-x+\sqrt[3]{x}}{x^{x}+3x}$

Find f(1) .

Possible Answers:

Undefined

$\frac{1}{3}$

$\frac{1}{4}$

Correct answer:

$\frac{1}{4}$

Explanation:

This question demonstrates that complicated functions are not complicated at every point.

To solve the function at x=1, all that is necessary is familiarity with the operations used.

$f(1) = \frac{1^{4}-1+\sqrt[3]{1}}{1^{1}+3(1)}$

$= \frac{1-1+1}{1+3}$

$=\frac{1}{4}$

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Example Question #93 : Functions And Lines

Given a function $f(x)=3x^{2}+8x+2$ , what is f(4) ?

Possible Answers:

Correct answer:

Explanation:

Given a function $f(x)=3x^{2}+8x+2$ , we can plug in x=4 to get

$\\f(4)=3(4)^{2}+8(4)+2\\f(4)=3(16)+32+2\\f(4)=48+32+2\\f(4)=48+34\\f(4)=82$

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Example Question #94 : Functions And Lines

Given a function $f(x)=5x-x^{2}+7$ , what is f(-2) ?

Possible Answers:

Correct answer:

Explanation:

Given a function $f(x)=5x-x^{2}+7$ , we can plug in x=-2 to get

$\\f(-2)=5(-2)-(-2)^{2}+7\\=-10-4+7\\=-14+7\\=-7$ .

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Example Question #95 : Functions And Lines

Given a function $f(x)=\frac{1}{2}x^{2}+7x-3$ , what is f(5) ?

Possible Answers:

None of the above

$-\frac{89}{2}$

$-\frac{2}{89}$

$\frac{2}{89}$

$\frac{89}{2}$

Correct answer:

$\frac{89}{2}$

Explanation:

Given a function $f(x)=\frac{1}{2}x^{2}+7x-3$ , we can plug in x=5 to get

$\\f(5)=\frac{1}{2}(5)^{2}+7(5)-3\\ \\=\frac{25}{2}+35-3\\ \\=\frac{25}{2}+32\\ \\=\frac{25}{2}+\frac{64}{2}\\ \\=\frac{89}{2}$

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Example Question #96 : Functions And Lines

Given a function $f(x)=2x^{2}-x+8$ , what is f(3) ?

Possible Answers:

Correct answer:

Explanation:

Given a function $f(x)=2x^{2}-x+8$ , we can plug in x=3 to get

$\\f(3)=2(3)^{2}-(3)+8\\=18-3+8\\=15+8\\=23$ .

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Example Question #51 : How To Find F(X)

Given a function $f(x)=5x^{2}+5x+9$ , what is f(7) ?

Possible Answers:

292

293

290

291

289

Correct answer:

289

Explanation:

Given a function $f(x)=5x^{2}+5x+9$ , we can plug in x=7 to get

$\\f(7)=5(7)^{2}+5(7)+9\\=5(49)+35+9\\=245+44\\=289$ .

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Example Question #52 : How To Find F(X)

Given a function $f(x)=\frac{1}{2}x^{2}-11x+8$ , what is f(-2) ?

Possible Answers:

Correct answer:

Explanation:

Given a function $f(x)=\frac{1}{2}x^{2}-11x+8$ , we can plug in x=-2 to get

$\\f(-2)=\frac{1}{2}(-2)^{2}-11(-2)+8\\=2+22+8\\=2+30\\=32$ .

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Example Question #53 : How To Find F(X)

Given a function $f(x)=x^{2}-\frac{1}{2}x+\frac{3}{4}$ , what is f(2) ?

Possible Answers:

$\frac{21}{4}$

$\frac{19}{4}$

$\frac{15}{4}$

$\frac{13}{4}$

$\frac{17}{4}$

Correct answer:

$\frac{15}{4}$

Explanation:

Given a function

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

we can plug in x=2 to get

$\\f(2)=(2)^{2}-\frac{1}{2}(2)+\frac{3}{4}\\ \\=4-1+\frac{3}{4}\\ \\=3+\frac{3}{4}\\ \\=\frac{12}{4}+\frac{3}{4}\\ \\=\frac{15}{4}$

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Example Question #54 : How To Find F(X)

Given a function $f(x)=x^{3}+2x^{2}+5x$ , what is f(3) ?

Possible Answers:

Correct answer:

Explanation:

Given a function

$f(x)=x^{3}+2x^{2}+5x$ ,

we can plug in x=3 to get

$\\ f(3)=(3)^{3}+2(3)^{2}+5(3)\\ \\=27+18+15\\ \\=27+33\\ \\=60$ .

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Example Question #55 : How To Find F(X)

Given a function $f(x)=-7x^{2}-6x^{2}+15$ , what is f(1) ?

Possible Answers:

Correct answer:

Explanation:

Given a function

$f(x)=-7x^{2}-6x^{2}+15$ ,

we can plug in x=1 to get

$\\ f(1)=-7(1)^{2}-6(1)^{2}+15\\ \\=-7-6+15\\ \\=-13+15\\ \\=2$ .

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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #1 : Functions

Example Question #93 : Functions And Lines

Example Question #94 : Functions And Lines

Example Question #95 : Functions And Lines

Example Question #96 : Functions And Lines

Example Question #51 : How To Find F(X)

Example Question #52 : How To Find F(X)

Example Question #53 : How To Find F(X)

Example Question #54 : How To Find F(X)

Example Question #55 : How To Find F(X)

All Algebra 1 Resources

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