Math 6+ Topic 3 Test: Simplify, LCM, Word Problems
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Questions and Answers

What is the value that makes the expression $rac{x}{2} + rac{x}{2} + rac{x}{2} + rac{x}{2}$ equivalent to 1?

x = 2

When finding the sum of $17 + rac{1}{3} + rac{1}{5} + rac{1}{7} + rac{1}{35}$, what is the least common denominator?

105

Write and evaluate an algebraic expression to find the cost per person to mountain bike for four hours.

$rac{194.75 + 4 * 76.15}{5}$

Write an expression to represent the cost of a book with a yellow sticker in terms of books with red stickers, r.

<p>$2r + 1.50</p> Signup and view all the answers

What is the amount of change from $50 that a customer would receive when purchasing 4 books with red stickers, 2 books with green stickers, and 1 book with a blue sticker when a book with a single red sticker book costs $1?

<p>$5.25</p> Signup and view all the answers

What value makes the expression $\frac{x}{2} + \frac{x}{2} + \frac{x}{2} + \frac{x}{2}$ equivalent to 1?

<p>x = 2</p> Signup and view all the answers

When finding the sum of $17 + \frac{1}{3} + \frac{1}{5} + \frac{1}{7} + \frac{1}{35}$, what is the least common denominator?

<p>105</p> Signup and view all the answers

Write and evaluate an algebraic expression to find the cost per person to mountain bike for four hours.

<p>$194.75 + 5 * (76.15 * 4) / 5$</p> Signup and view all the answers

Write an expression to represent the cost of a book with a yellow sticker in terms of books with red stickers, r.

<p>$2r + 1.50$</p> Signup and view all the answers

Write an expression to represent the cost of a book with a green sticker in terms of books with red stickers, r.

<p>$0.50r - 1$</p> Signup and view all the answers

Write an expression to represent the cost of a book with a blue sticker in terms of books with red stickers, r.

<p>$3r - 1.75$</p> Signup and view all the answers

What is the amount of change from $50 that a customer would receive when purchasing 4 books with red stickers, 2 books with green stickers, and 1 book with a blue sticker when a book with a single red sticker book costs $1?

<p>$50 - (4<em>1 + 2</em>0.50 + 1*3 - 1.75)$</p> Signup and view all the answers

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