Lesson 1: Practice Problems

Problem 1

Here are questions about two types of angles.

Draw a right angle. How do you know it’s a right angle? What is its measure in degrees?
Draw a straight angle. How do you know it’s a straight angle? What is its measure in degrees?

Problem 2

An equilateral triangle’s angles each have a measure of 60 degrees.

Can you put copies of an equilateral triangle together to form a straight angle? Explain or show your reasoning.
Can you put copies of an equilateral triangle together to form a right angle? Explain or show your reasoning.

Problem 3

Here is a square and some regular octagons.

In this pattern, all of the angles inside the octagons have the same measure. The shape in the center is a square. Find the measure of one of the angles inside one of the octagons.

4 octagons arranged in a circle with a square in the middle

Problem 4 From Unit 6 Lesson 17

The height of the water in a tank decreases by 3.5 cm each day. When the tank is full, the water is 10 m deep. The water tank needs to be refilled when the water height drops below 4 m.

Write a question that could be answered by solving the equation $10 - 0.035 d = 4$ .
Is $100$ a solution of $10 - 0.035 d > 4$ ? Write a question that solving this problem could answer.

Problem 5 From Unit 6 Lesson 18

Use the distributive property to write an expression that is equivalent to each given expression.

$- 3 (2 x - 4)$
$0.1 (- 90 + 50 a)$
$- 7 (- x - 9)$
$\frac{4}{5} (10 y + (- x) + (- 15))$

Problem 6 From Unit 2 Lesson 3

Lin’s puppy is gaining weight at a rate of 0.125 pounds per day. Describe the weight gain in days per pound.