Pre-Algebra Chapter 9 Are You Ready? Name

Pre-Algebra Chapter 9 Are You Ready? Name:

Date: Block:

1.)Draw a right triangle and label the legs and hypotenuse:

2.)Pythagorean Theorem: ______

3.)Rational Number: ______

4.)Irrational Number: ______

5.)Midpoint Formula: ______6.) Distance Formula: ______

Find the square ROOTS of the numbers. Approximate to the nearest INTEGER.

7.)256 8.) 400 9.)

Use a calculator to approximate to the nearest tenth.

10.) 11.)

Evaluate the following expressions for when a = 12 and b = 4

12.) 13.) 14.)

Solve each equation, round to the nearest tenthif necessary.

15.) 16.)17.)

Find the unknown length, round to the nearest tenth if necessary.

18.) 19.) 20.)

Determine whether the triangle with the given side lengths is a right triangle.

21.) 22.)

Circle whether the number is rational or irrational.

23.) rationalirrational 24.) rationalirrational

Complete using .Order from least to greatest.

25.) 26.) 27.)

______

Find the DISTANCE between the given points. Round to the nearest tenth if necessary.

28.) 29.)

Find the MIDPOINT of the segment with the given endpoints.

30.) 31.)

Answer the following questions showing ALL WORK necessary! Be sure to label your answer when necessary.

32.) A chipmunk drops a nut from the deck of a house 24 feet above the ground. Use the equation to determine the time , in seconds, that it takes the nut to fall to the ground.

33.) Bobby left his house riding his bike 20 miles south then 15 miles east to get to his friend’s house. What is the shortest distance between Bobby’s house and his friend’s house?

34.) The diagram shows how a post was broken. What was the original height of the post?

35.) A builder needs to add diagonal braces to a wall. The wall is 16 feet wide by 12 feet high. What is the length of each brace?

36.) has endpoint A(-3, -4) and B(-7, -8). has endpoints P(3,2) and Q(9, 8).Which segment is

longer?

37.) Draw the right triangle with vertices X (-3, 2), Y (-3, -7), and Z (5, 2). Then find the coordinates of the midpoint of the hypotenuse.

Answer the following question in complete sentences. Be sure to USE EXAMPLES and correct math terminology when possible.

38.) Explain why is an irrational number. Give an example of a rational number.

39.) How can you prove a triangle is a right triangle when given the lengths of all 3 sides?