Lesson 6: Practice Problems

Problem 1

A rectangle has side lengths of 6 units and 3 units. Could you make a quadrilateral that is not identical using the same four side lengths? If so, describe it.

Problem 2

Come up with an example of three side lengths that can not possibly make a triangle, and explain how you know.

Problem 3 From Unit 7 Lesson 3

Find $x$ , $y$ , and $z$ .

Three lines intersecting with angles: x, 18, unmarked, 64, y, and z

Problem 4 From Unit 7 Lesson 1

How many right angles need to be put together to make:

360 degrees?
180 degrees?
270 degrees?
A straight angle?

Problem 5 From Unit 6 Lesson 8

Solve each equation.

$\frac{1}{7} (x + \frac{3}{4}) = \frac{1}{8}$
$\frac{9}{2} = \frac{3}{4} (z + \frac{2}{3})$
$1.5 = 0.6 (w + 0.4)$
$0.08 (7.97 + v) = 0.832$

Problem 6 From Unit 4 Lesson 3

You can buy 4 bottles of water from a vending machine for $7. At this rate, how many bottles of water can you buy for $28? If you get stuck, consider creating a table.
It costs $20 to buy 5 sandwiches from a vending machine. At this rate, what is the cost for 8 sandwiches? If you get stuck, consider creating a table.