Algebra Practice Problems
Comprehensive algebra practice covering everything from basic expressions to systems of equations. Build a strong foundation in algebraic thinking with these carefully designed problems.
Skills You'll Practice
- Simplifying algebraic expressions
- Evaluating expressions
- Solving equations and inequalities
- Working with exponents
- Understanding functions
- Graphing linear equations
- Solving systems of equations
Expressions & Simplifying
EasySimplify: 3x + 5x - 2x
💡 Show Hint
Combine like terms
✓ Show Answer
6x
Evaluate 2x + 5 when x = 4
💡 Show Hint
Substitute 4 for x: 2(4) + 5
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13
Simplify: 4(x + 3)
💡 Show Hint
Distribute the 4
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4x + 12
Equations & Inequalities
MediumSolve: 5x - 3 = 2x + 12
💡 Show Hint
Get all x terms on one side
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x = 5
Solve: -2x + 7 > 15
💡 Show Hint
Divide by -2, flip the inequality sign!
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x < -4
Solve: |x - 3| = 5
💡 Show Hint
x - 3 = 5 OR x - 3 = -5
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x = 8 or x = -2
Systems & Functions
HardSolve the system: y = 2x + 1 and y = -x + 7
💡 Show Hint
Set 2x + 1 = -x + 7
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(2, 5)
If f(x) = x² - 4x, find f(5)
💡 Show Hint
f(5) = 25 - 20
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5
What is the slope and y-intercept of 3x - 2y = 8?
💡 Show Hint
Rewrite in y = mx + b form
✓ Show Answer
slope = 3/2, y-intercept = -4
Pro Tips
- 💡Like terms have the same variable AND the same exponent
- 💡When multiplying/dividing an inequality by a negative, flip the sign
- 💡For systems of equations, substitution or elimination both work—choose wisely
- 💡Function notation f(x) just means "plug x into the function"
Curriculum Alignment
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