8th Grade Math Semester Exam STUDY GUIDE1
Directions:Define each Topic. Work out each sample problem (this is what we’ll go over during our Adobe Connect Exam Review Session). Use the links for extra help and practice problems. I recommend you open each Practice link to make sure you feel comfortable with various types of questions.
Topic: (definition) / Helpful Videos/Tutorials/Notes: / Practice problems: / Sample problem:Rational & Irrational Numbers: / / Game:
Practice problems: / 1. Which of the following numbers is irrational? Circle irrational numbers.
A. / √32 / B. / √49
C. / 4.05 / D. /
2. Identify each root as rational or irrational:
Supplementary Angles: / / (answers are on the last page) / Solve for x and y.
Vertical Angles: /
Transformations: / (at the bottom of the page is a link to each type of transformation, i.e. rotation, reflections, etc.)
/ /
- What point is the image of (3,4) if it is reflected over the y axis?
B) (3,-4)
C) (-3,-4)
D) (3,4)
2. What point is the image of (4,5) with a translation of right 2 and down 3?
3. Find B' in a reflection of Triangle ABC when A(3,6), B(-4,2), C(-1,-3) over the y axis.
Scientific Notation
Scientific Notation / / At bottom of link / 1. In 2000, the top attendance at an amusement park in the United States was 15,400,000 people. Write the number of people in scientific notation.
2. In 2000, an estimated 7.7 107 people spoke French as their first language and an estimated 1 108 people spoke standard German as their first language. In 2000, which language had more speakers?
answer______
Standard Form / / Look at bottom of website. / The planet Mercury is an estimated 3.598 107 miles from the Sun. Write the distance Mercury is from the Sun in Standard form.
Answer ______
Multiplying numbers in scientific notation / Video: / / Simplify: (5 x 10 3) (6x 103)
Answer ______
Dividing numbers in scientific notation / Video: / / In 2000, an estimated 1.664 108 dollars in 1000-dollar bills were in circulation. How many 1000 dollar bills were in circulation in 2000?
Answer ______
Estimating square roots / / /
Exponents / / What is a number raised to the power of 0? Why? Be able to explain how you know. Justify your answer here. ______
______
Function: vertical line test / Video: / /
Circle the graph(s) above that could represent functions. Cross out the graph(s) that are not functions.
Solving equations: /
video: / / Solve for m.
-3(4m + 5 – 3m +2) = -6
4 ( x + 3) =
5( 2 – 8) + 12 =
Distributive Property /
Distance Formula / / / Find the distance using the following points.
- ( 2,3) ( 8, 11) ______
- ( 4,5) ( -3, 9) ______
- (12, - 4) ( -6, 3) ______
EAT exterior Angle theorem /
/ / Find X______Y______Z ______
Pythagorean Theorem / Video: / /
- A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between first base and third base?
2. A 13 feet ladder is placed 5 feet away from a wall. The distance from the ground straight up to the top of the wall is 13 feet. Will the ladder reach the top of the wall? ______
Area of a square / / / Find the area of the square:
Answer ______
Interior angles of a triangle / / / The window at the top of my door is an isosceles triangle. The top angle measures 110 degrees.
1. What is the sum of the other two angles?______
2. What is the measure of one of the other angles? Answer ______
Parallel Lines, Transversals, and Angles / / At bottom of link / Find each angle measure.
Volume of a cube: / / / A basketball with a radius of 5 inches is sold in a box that touches each side of the basketball.
1) What is the volume of the basketball? ______
2) What is the volume of the box? ______
3) How much “empty space” is in the package? ______
Volume of a cylinder / / / Find the volume of a cylinder with height of 4 inches and radius of 2 inches.
Answer ______
Volume of a cone / / / Find the volume of a cone with height of 5 ft and diameter of 28 feet.
Answer ______
Find the volume of a cone with a height of 12 cm and radius of 5 cm
Answer ______