Questions and Answers
What is the value of $5x + y$ when $x = 20$ and $y = 5$?
105
What is the result of $y^2 - x$ when $x = 20$ and $y = 5$?
5
What is the value of $yx - 7y$ when $x = 5$ and $y = 20$?
65
What is the value of $y(x - 9)$ when $y = 5$ and $x = 20$?
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How is $11^{4}$ expressed?
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What does $y^5$ represent?
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How is $a^3$ defined?
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What does $3^5$ equal?
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What is the absolute value of -24?
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What is the absolute value of 31?
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What is the final result of $18 - 3 imes 2$?
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What is the value of $4 imes (20 - 3 imes 3)$?
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Study Notes
Algebraic Expressions and Operations
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Expression: 5x + y
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Solution:* For x = 20, calculate: 5 × 20 + y
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Final Answer:* 105 when y = 5.
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Expression: y² - x
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Solution:* For x = 20, calculate: 5 × 5 - 20
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Final Answer:* 5.
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Expression: yx - 7y
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Solution:* For y = 5, calculate: 20 × 5 - 7 × 5
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Final Answer:* 65.
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Expression: y × (x - 9)
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Solution:* For y = 5 and x = 20, calculate: 5 × (20 - 9)
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Final Answer:* 55.
Exponents
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Expression: 11 x 11 x 11 x 11
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Definition:* This is equal to 11 raised to the fourth power.
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Expression: y × y × y × y × y
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Definition:* This represents y raised to the fifth power.
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Expression: a x a x a
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Definition:* This denotes a raised to the third power.
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Expression: 3 x 3 x 3 x 3 x 3
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Definition:* This is equivalent to three raised to the fifth power.
Absolute Values
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Expression: -24
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Equivalent:* |24| and 24.
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Expression: 31
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Equivalent:* |31| and -31.
Order of Operations
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Expression: 18 - 3 x 2
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Solution:* Calculate: 18 - 6
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Final Answer:* 12.
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Expression: 4 x (20 - 3 x 3)
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Solution:* Calculate: 4 × (20 - 9).
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