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Algebra II : Expressions

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Example Questions

Example Question #11 : Solving Expressions

Evaluate the expression $5^{x}-2x+6x-b$ when x=3 and b=8 .

Possible Answers:

138

129

Correct answer:

129

Explanation:

First, substitute for and for : $5^{3}-2(3)+6(3)-(8)$

Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:

125-2(3)+6(3)-8

125-6+18-8

Leaving you with,

129

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Example Question #173 : Basic Single Variable Algebra

Evaluate the expression a(3-2b) when a=8 and b=3 .

Possible Answers:

Correct answer:

Explanation:

First, substitute for and for : (8)(3-2(3))

Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:

(8)(3-6)

(8)(-3)

Leaving you with,

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Example Question #12 : Solving Expressions

Evaluate the expression $4(5-x)^{y}-24x$ when x=2 and y=3 .

Possible Answers:

Correct answer:

Explanation:

First, substitute for and for : $4(5-(2))^{(3)}-24(2)$

Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:

$4(3)^{3}-24(2)$

4(27)-24(2)

108-48

Leaving you with,

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Example Question #175 : Basic Single Variable Algebra

Evaluate the expression $(3b^{2}-5a^{3})+31$ when a=4 and b=5 .

Possible Answers:

235

214

247

Correct answer:

Explanation:

First, substitute for and for : $(3(5)^{2}-5(4)^{3})+31$

Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:

(3(25)-5(64))+31

(75-320)+31

-245+31

Leaving you with,

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Example Question #13 : Solving Expressions

Evaluate the expression $x^{y}-z^{x}+x^{z}$ when x=2 , y=3 , and z=4 .

Possible Answers:

Correct answer:

Explanation:

First, substitute for , for , and for : $(2)^{3}-(4)^{2}+(2)^{4}$

Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:

8-16+16

Leaving you with,

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Example Question #131 : Expressions

Evaluate the expression $x(a+b)-x^{a}$ when a=2 , b=10 , and x=3 .

Possible Answers:

Correct answer:

Explanation:

First, substitute for , for , and for : $(3)(2+10)-(3)^{2}$

Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:

(3)(12)-(9)

36-9

Leaving you with,

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Example Question #131 : Expressions

Evaluate the expression $14-2c+d^{2}-c^{2}$ given c=12 and d=11 .

Possible Answers:

Correct answer:

Explanation:

First, substitute for and for : $14-2(12)+(11)^{2}-(12)^{2}$

Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:

14-2(12)+(121)-(144)

14-24+121-144

Leaving you with,

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Example Question #132 : Expressions

Evaluate the expression $5y+x^{2}(x-7)$ when x=8 and y=11 .

Possible Answers:

119

121

117

Correct answer:

119

Explanation:

First, substitute for and for : $5(11)+(8)^{2}((8)-7)$

Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:

5(11)+(64)(1)

55+64

Leaving you with,

119

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Example Question #2025 : Algebra Ii

Evaluate the expression $b^{4}+3a-9$ when a=6 and b=5 .

Possible Answers:

423

634

566

285

709

Correct answer:

634

Explanation:

First, you subsitute for and for : $(5)^{4}+3(6)-9$

Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:

625+3(6)-9

625+18-9

Leaving you with,

634

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Example Question #131 : Expressions

If f(x)= 2x^2+1 and g(x)=x-3 , what is f(g(2)) ?

Possible Answers:

Correct answer:

Explanation:

To begin solving, first we would plug in to g(x) for every there is, making it:

g(2)=(2)-3

Solving, we get:

g(2)=-1

We would then put that solution into f(x) for every there is, making it:

$f(g(2))=2(-1)^{2}+1$

Following the order of operations, the first thing we do is square :

$-1 \times -1 = 1$

We can then solve the rest of the expression:

f(g(2))=2(1)+1

f(g(2))=3

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Algebra II : Expressions

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #11 : Solving Expressions

Example Question #173 : Basic Single Variable Algebra

Example Question #12 : Solving Expressions

Example Question #175 : Basic Single Variable Algebra

Example Question #13 : Solving Expressions

Example Question #131 : Expressions

Example Question #131 : Expressions

Example Question #132 : Expressions

Example Question #2025 : Algebra Ii

Example Question #131 : Expressions

All Algebra II Resources

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