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Algebra II : Basic Single-Variable Algebra

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #7 : Solving Expressions

Evaluate the expression if w = 3 , x = 8 , y = -2 and z = 2

$\frac{12w-6y}{z^2}$

Possible Answers:

Correct answer:

Explanation:

When you plug in your given values the expression should read as followed;

$\frac{12(3)-6(-2)}{2^2} = \frac{36+12}{4}=\frac{48}{4}=12$

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Example Question #1 : Solving Expressions

Simplify the expression

2(6c-8d)+3(4c-9d)

Possible Answers:

24c - 43d

24c+43d

- 43d

Correct answer:

24c - 43d

Explanation:

2(6c-8d)+3(4c-9d) = 12c -16d+12c-27d = 24c-43d

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Example Question #9 : Solving Expressions

Evaluate the expression $a^{2}-7a+4b$ when a=2 and b=7 .

Possible Answers:

Correct answer:

Explanation:

First, substitute for and for : $(2)^{2}-7(2)+4(7)$

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

4-7(2)+4(7)

4-14+28

Leaving you with,

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Example Question #2 : Solving Expressions

Evaluate the expression $-5+15-x-3x^{2}$ given x=5 .

Possible Answers:

Correct answer:

Explanation:

First, you substitute for : $-5+15-(5)-3(5)^{2}$

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

-5+15-5-3(25)

-5+15-5-75

Leaving you with,

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Example Question #2011 : Algebra Ii

Evaluate the expression $3b-2a^{2}+c$ when a=4 , b=8 , and c=25 .

Possible Answers:

Correct answer:

Explanation:

First, substitute for , for , and for : $3(8)-2(4)^{2}+(25)$

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

3(8)-2(16)+25

24-32+25

Leaving you with,

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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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Algebra II : Basic Single-Variable Algebra

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #7 : Solving Expressions

Example Question #1 : Solving Expressions

Example Question #9 : Solving Expressions

Example Question #2 : Solving Expressions

Example Question #2011 : Algebra Ii

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

All Algebra II Resources

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