Ratios and unit rates
A ratio compares two quantities. A unit rate tells how much for one unit: 150 miles in 3 hours is 50 miles per hour.
Try it: A car goes 240 miles in 4 hours. What is the unit rate?
Show answer
60 miles per hour.
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.
A ratio compares two quantities. A unit rate tells how much for one unit: 150 miles in 3 hours is 50 miles per hour.
Try it: A car goes 240 miles in 4 hours. What is the unit rate?
60 miles per hour.
Percent means per 100. Change the percent to a decimal and multiply: 30% of 60 = 0.30 × 60 = 18.
Try it: What is 40% of 50?
20.
Substitute a number for the variable, then follow the order of operations. If x = 4, then 3x + 2 = 3(4) + 2 = 14.
Try it: Evaluate 2n + 5 when n = 6.
17.
Use inverse operations to get the variable alone. If x + 7 = 15, subtract 7 from both sides to get x = 8.
Try it: Solve 4n = 28.
n = 7.
The Andes are the longest mountain range on land, running along the western edge of South America. The Amazon River and rain forest are in northern South America.
Try it: Which mountain range runs along western South America?
The Andes.
Mexico's capital is Mexico City. Brazil is the largest country in South America, its capital is Brasília, and its official language is Portuguese.
Try it: What is the capital of Brazil?
Brasília.
The Alps cross much of central Europe. The Danube River flows through several countries to the Black Sea, and the Mediterranean Sea lies to the south.
Try it: Which sea lies along southern Europe?
The Mediterranean Sea.
The European Union is a group of European countries that cooperate on trade and other issues. Many members use the euro as their currency.
Try it: What is the EU?
A group of European countries that cooperate, especially on trade and the economy.
The central idea is the main point of a text. An author's claim is what they want you to believe, supported by evidence.
Try it: What is the difference between a claim and evidence?
A claim is the point the author argues. Evidence is the facts or examples that support it.
A strong argument has a clear claim, relevant evidence, and sound reasoning. Watch for evidence that does not support the claim.
Try it: What makes evidence relevant?
It directly supports the claim.
State a claim, support it with reasons and evidence, and address a counterclaim (an opposing view).
Try it: What is a counterclaim?
An opposing viewpoint that the writer responds to.
Introduce the topic, organize ideas in groups, use transitions like first, next, and for example, and finish with a conclusion.
Try it: Give one transition word or phrase that introduces an example.
For example (or for instance).