Pre Algebra Study Guide Flashcards
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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 $x = 20$?

<p>55</p> Signup and view all the answers

How is $11^{4}$ expressed?

<p>11 to the fourth power</p> Signup and view all the answers

What does $y^5$ represent?

<p>y to the fifth power</p> Signup and view all the answers

How is $a^3$ defined?

<p>a cubed</p> Signup and view all the answers

What does $3^5$ equal?

<p>Three to the fifth power</p> Signup and view all the answers

What is the absolute value of -24?

<p>|24| and -24</p> Signup and view all the answers

What is the absolute value of 31?

<p>|31| and 31</p> Signup and view all the answers

What is the final result of $18 - 3 imes 2$?

<p>12</p> Signup and view all the answers

What is the value of $4 imes (20 - 3 imes 3)$?

<p>44</p> Signup and view all the answers

Study Notes

Algebraic Expressions and Operations

  • Expression: 5x + y

  • Solution:* For x = 20, calculate: 5 × 20 + y

  • Final Answer:* 105 when y = 5.

  • Expression: y² - x

  • Solution:* For x = 20, calculate: 5 × 5 - 20

  • Final Answer:* 5.

  • Expression: yx - 7y

  • Solution:* For y = 5, calculate: 20 × 5 - 7 × 5

  • Final Answer:* 65.

  • Expression: y × (x - 9)

  • Solution:* For y = 5 and x = 20, calculate: 5 × (20 - 9)

  • Final Answer:* 55.

Exponents

  • Expression: 11 x 11 x 11 x 11

  • Definition:* This is equal to 11 raised to the fourth power.

  • Expression: y × y × y × y × y

  • Definition:* This represents y raised to the fifth power.

  • Expression: a x a x a

  • Definition:* This denotes a raised to the third power.

  • Expression: 3 x 3 x 3 x 3 x 3

  • Definition:* This is equivalent to three raised to the fifth power.

Absolute Values

  • Expression: -24

  • Equivalent:* |24| and 24.

  • Expression: 31

  • Equivalent:* |31| and -31.

Order of Operations

  • Expression: 18 - 3 x 2

  • Solution:* Calculate: 18 - 6

  • Final Answer:* 12.

  • Expression: 4 x (20 - 3 x 3)

  • Solution:* Calculate: 4 × (20 - 9).

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Description

This quiz features flashcards designed for studying pre-algebra concepts, including solving equations and polynomial expressions. Each card presents a mathematical problem along with its solution to help reinforce learning. Perfect for students looking to reinforce their algebra skills!

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