Last updated: October 1, 2026
This week's algebra lesson plans for Grade 8.
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Grade 8 algebra lesson plans
Skills covered
- Solving linear equations
- Variables on both sides
- A word-problem close
- Check by substitution
Sample questions and answer key
1. Solve: 3x − 7 = 14
Answer: x = 7
2. Solve: 2(x − 4) = 10
Answer: x = 9
3. The perimeter of a square is 4x + 8. One side is 12. Find x.
Answer: 4x + 8 = 48, so x = 10.
Teaching notes
Warm-up: two one-step equations. Core: two-step and variables on both sides. Exit: one word problem.
Related pages
About this page
This Grade 8 algebra lesson plan is built for a 45-minute block: two warm-up equations, a worked example, independent practice, and one word problem.
If you need printable practice after the lesson, use the Grade 7 algebra worksheets in the cluster below.
Standards alignment
What this algebra math content covers
Worksheets are mapped to the following published standards. Pick a standard to focus your worksheet on the matching skill.
- CCSS
8.EE.C.7Grade 8
Solve linear equations in one variable, including those with rational coefficients and variables on both sides.
- CCSS
8.EE.C.8Grade 8
Analyze and solve pairs of simultaneous linear equations.
Common mistakes
Misconceptions students bring to algebra
Specific errors to watch for when reviewing student work — pulled from classroom research and teacher reports.
Distributing only over the first term in parentheses.
What to teach instead: The factor outside the parentheses multiplies every term inside.
3(x + 4) = 3x + 12, not 3x + 4.
Confusing a negative sign with subtraction inside an expression.
What to teach instead: A negative coefficient sticks with the variable when you move terms.
In 5 − 2x, the −2 is the coefficient of x, not just a subtraction.
Thinking x² and 2x are the same.
What to teach instead: x² = x · x; 2x = x + x. They're only equal when x = 0 or x = 2.
Cancelling terms from a sum like factors of a product.
What to teach instead: You can only cancel factors that multiply the whole numerator and denominator, not addends.
(x + 3)/3 ≠ x. You can't cancel the 3s because the numerator is a sum.
Forgetting to flip the inequality when multiplying or dividing by a negative.
What to teach instead: Multiplying or dividing both sides of an inequality by a negative reverses the direction.
−2x < 6 → x > −3 (not x < −3).
Key vocabulary
Algebra terms students should know
A short glossary of core vocabulary you can drop into any worksheet, quiz, or study guide.
- Variable
- A letter or symbol that stands for a number that can change or is unknown.
- Coefficient
- The number multiplied by a variable. In 4x, the coefficient is 4.
- Constant
- A fixed number with no variable attached.
- Expression
- A combination of numbers, variables, and operations without an equals sign.
- Equation
- A statement that two expressions are equal, with an equals sign.
- Inequality
- A comparison using <, >, ≤, or ≥ instead of an equals sign.
- Solution
- A value of the variable that makes an equation true.
- Like terms
- Terms that have the same variables raised to the same powers, so they can be combined.
- Distributive property
- a(b + c) = ab + ac. Lets you 'distribute' multiplication over addition.
- Slope
- The steepness of a line, computed as rise over run.
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