Slope and linear equations
The equation y = mx + b has slope m and y-intercept b. The line y = 2x + 1 goes through (0, 1) and (1, 3).
Try it: What is the slope of y = −3x + 4?
Show answer
−3.
Grade 8
Lessons by subject. Read the lesson, try the question, then check your answer.
Topics follow the Georgia Standards of Excellence, the state's current standards (they replaced the older Common Core Georgia Performance Standards). This is an unofficial study aid, not a Coffee County Schools resource. Your teacher's pacing guide and textbook come first. Official standards: georgiastandards.org.
Math
Expressions and Equations
Solving multi-step equations
Distribute, combine like terms, then use inverse operations. 3(x − 2) = 12 means x − 2 = 4, so x = 6.
Try it: Solve 2(x + 3) = 14.
Show answer
x = 4.
Geometry
The Pythagorean theorem
In a right triangle, a² + b² = c², where c is the hypotenuse. Legs of 6 and 8 give 36 + 64 = 100, so c = 10.
Try it: The legs are 5 and 12. Find the hypotenuse.
Show answer
13.
Transformations
A translation slides, a reflection flips, a rotation turns, and a dilation resizes a figure.
Try it: Reflect the point (2, 3) across the x-axis.
Show answer
(2, −3).
Geography
Georgia's Geography
Regions and features
Georgia's five regions differ in landforms and economy. Brasstown Bald, in the Blue Ridge, is the state's highest point, and the Okefenokee Swamp lies in the south.
Try it: In which region is the Okefenokee Swamp?
Show answer
The Coastal Plain, in south Georgia.
Natural resources
Georgia's resources include pine forests, kaolin clay, and Elberton granite. The fertile Coastal Plain supports many crops.
Try it: Name one natural resource found in Georgia.
Show answer
Pine forests, kaolin, granite, or fertile farmland.
Georgia Government and Economy
Three branches
Georgia's government has three branches: the General Assembly (legislative), the governor (executive), and the courts (judicial).
Try it: Which branch makes Georgia's laws?
Show answer
The legislative branch, the General Assembly.
Agriculture and industry
Georgia is a top producer of peanuts, pecans, and poultry. Atlanta is a major hub for business, transportation, and film.
Try it: Name one crop Georgia is known for.
Show answer
Peanuts or pecans.
Language Arts
Reading Informational Text
Evaluating arguments and evidence
Check whether evidence is relevant and sufficient, and look for flawed reasoning or bias.
Try it: What does it mean for evidence to be sufficient?
Show answer
There is enough of it to support the claim.
Text structure and purpose
Authors organize texts by cause and effect, compare and contrast, problem and solution, or sequence, depending on their purpose.
Try it: Which structure fits an essay about why a bridge collapsed?
Show answer
Cause and effect.
Writing and Language
Argument essays
Introduce the claim, give reasons with evidence, respond to counterclaims, and end with a conclusion that follows from the argument.
Try it: Where does a counterclaim belong in an argument essay?
Show answer
In the body, followed by your response to it.
Verbals and voice
Gerunds (swimming), participles (broken), and infinitives (to run) are verb forms used as other parts of speech. Active voice is usually clearer: The dog chased the ball.
Try it: Change to active voice: The ball was kicked by Sam.
Show answer
Sam kicked the ball.