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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 #67 : Algebraic Functions

Given a function $f(x)=3x^{2}-2x+5$ , what is f(4) ?

Possible Answers:

Correct answer:

Explanation:

Given a function

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

we can plug in x=4 to get

$f(4)=3(4)^{2}-2(4)+5=48-8+5=40+5=45$ .

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Example Question #68 : Algebraic Functions

Given a function $f(x)=9-(6x-x^{2})$ , what is f(2) ?

Possible Answers:

Correct answer:

Explanation:

Given a function

$f(x)=9-(6x-x^{2})$ ,

we can plug in x=2 to get

$f(2)=9-(6(2)-(2)^{2})=9-12+4=-3+4=1$ .

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Example Question #69 : Algebraic Functions

Given a function $f(x)=\frac{1}{2}x^{3}$ , what is f(6) ?

Possible Answers:

112

108

110

104

106

Correct answer:

108

Explanation:

Given a function

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

we can plug in x=6 to get

$f(6)=\frac{1}{2}(6)^{3}=\frac{6\times6\times\6}{2}=\frac{216}{2}=108$ .

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Example Question #70 : Algebraic Functions

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

Possible Answers:

Correct answer:

Explanation:

Given a function

$f(x)=7x^{2}-9x+2$ ,

we can plug in x=2 to get

$f(2)=7(2)^{2}-9(2)+2=28-18+2=10+2=12$

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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 #71 : How To Find F(X)

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

Possible Answers:

$\frac{8}{5}$

$\frac{3}{8}$

$\frac{5}{}8$

$\frac{8}{3}$

$\frac{3}{5}$

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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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #67 : Algebraic Functions

Example Question #68 : Algebraic Functions

Example Question #69 : Algebraic Functions

Example Question #70 : Algebraic Functions

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 #71 : How To Find F(X)

All Algebra 1 Resources

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