Algebra Class: Square Roots and Linear Equations

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Questions and Answers

What is the value of $\sqrt{2} \sqrt{18}$?

  • 10
  • 8
  • 6 (correct)
  • 4

What is the value of $\frac{\sqrt{8}}{\sqrt{18}}$?

  • 4/9 (correct)
  • 18
  • 12
  • 2/3

What are the values of $x$ and $y$ in the equation $4y + 2x = 3$?

x=1.5, y=0; x=0, y=0.75

What does $\frac{10}{\sqrt{5}}$ simplify to?

<p>2\sqrt{5} (A)</p> Signup and view all the answers

What is the slope of the line from the points (0,1) and (3,-8)?

<p>-3</p> Signup and view all the answers

If a pizzeria charges 14.99 cents for 2 pizzas and 12.99 cents for 3 pitchers of soda with a max spend of $75, how many pizzas can they buy?

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

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Study Notes

Square Root Calculations

  • √2 * √18 simplifies to 6.
  • √8 divided by √18 results in 12/18 (or 2/3 after simplification).

Linear Equations

  • The equation 4y + 2x = 3 has multiple solutions including:
    • x = 1.5, y = 0
    • x = 0, y = 0.75

Simplifying Expressions

  • The expression 10 divided by √5 simplifies to 2√5.

Finding Slope from Points

  • Slope calculation from points (0,1) and (3,-8) is -3.
  • The line equation can be represented as Y = (-3/9)x + 1.

Inequalities and Budgeting

  • A pizzeria charges $14.99 for 2 pizzas and $12.99 for 3 pitchers of soda.
  • With a maximum budget of $75, the problem asks how many pizzas can be purchased (let x equal the number of pizzas).

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