Algebra 1 · course sample
Algebra 1 End-of-Course Exam Prep
Review linear relationships, inequalities, functions, systems, and quadratics with illustrative exam-style practice. This is not an official exam blueprint or a score guarantee.
About this read-only sample
Authored illustrative samples. These static, read-only outlines and examples were created for this website, not extracted from production courses. They have not been teacher-reviewed and are not a verified Florida curriculum.
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The full sample outline
Start with the foundations, then build on one idea at a time.
Chapter 1
Linear equations
Connect equation-solving steps to the meaning of a linear relationship.
- 1
Multi-step equations
Distribute, combine like terms, and isolate a variable.
- 2
Slope and intercept
Interpret rate of change and initial value in a linear model.
- 3
Equations from representations
Write a linear rule from a table, graph, or word problem.
- 1
Chapter 2
Inequalities
Describe a range of solutions rather than only one value.
- 1
Solve an inequality
Reverse the inequality direction when multiplying or dividing by a negative number.
- 2
Show a solution set
Represent inclusive and exclusive bounds on a number line.
- 3
Model a constraint
Translate a limit in a word problem into an inequality.
- 1
Chapter 3
Functions
Treat a function as a rule that assigns one output to each allowed input.
- 1
Function notation
Evaluate a function and interpret its input and output.
- 2
Domain and range
Identify reasonable input and output values from a graph or context.
- 3
Compare function models
Distinguish a constant rate of change from a constant multiplicative factor.
- 1
Chapter 4
Systems of equations
Find values that satisfy two relationships at once.
- 1
Graph a system
Interpret an intersection as a shared solution.
- 2
Substitution and elimination
Choose a method and solve a pair of linear equations.
- 3
Interpret the result
Check a solution in both equations and recognize no-solution or equivalent systems.
- 1
Chapter 5
Quadratics
Use expressions, equations, and graphs to describe quadratic relationships.
- 1
Multiply and factor
Expand simple products and factor suitable quadratic expressions.
- 2
Solve a quadratic
Use an appropriate method and check candidate roots.
- 3
Read a parabola
Identify a vertex, zeros, and the meaning of these features in context.
- 1
Chapter 6
Practice and review
Use mixed practice to identify what needs another explanation.
- 1
Mixed problem set
Select a strategy without being told the topic in advance.
- 2
Explain an error
Locate an invalid step and repair the reasoning.
- 3
Plan another review
Use missed questions to choose the next topic to practice, not to predict an exam score.
- 1
Let's work through an example
An equation is a balance
Solve 3(x + 2) = 21, then check your answer.
- 1
Divide both sides by 3: x + 2 = 7. Doing the same operation on both sides keeps the equality true.
- 2
Subtract 2 from both sides to undo the addition: x = 5. The variable is now on its own.
- 3
Check in the original equation: 3(5 + 2) = 3 × 7 = 21. The two sides match, so the proposed solution works.
The idea to keep: You can divide before distributing here. Either valid method should give the same solution.
Check your thinking · read-only quiz
What value of x makes 2x + 5 = 17 true?
Choose an answer in your head, then open the explanation. Nothing is submitted, graded, or saved.
- A.x = 5
- B.x = 6
- C.x = 11
- D.x = 12
Reveal answer and explanation
Answer B: x = 6
Subtract 5 from both sides to get 2x = 12, then divide both sides by 2. Checking gives 2 × 6 + 5 = 17. This is illustrative practice, not a question from an official exam.