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🎓 Algebra Basics Practice
Simplify: 2x + 3x - x
Hint: Combine like terms
Evaluate: 3(x + 2) - 2x when x = 5
Hint: First distribute, then substitute
Write an expression for: "twice a number plus 7"
Hint: "twice" means multiply by 2
🔢 Equation Solving Practice
Solve: x + 8 = 15
x =
Hint: Subtract 8 from both sides
Solve: 3x - 5 = 13
x =
Hint: Add 5 first, then divide by 3
Solve: \frac{x}{4} + 2 = 7
x =
Hint: Subtract 2 first, then multiply by 4
Solve: 2(x - 3) = 14
x =
Hint: Divide both sides by 2 first
⚖️ Inequality Practice
Solve: x + 3 > 7
Hint: Subtract 3 from both sides
Solve: -2x \leq 8
Hint: Divide by -2 (reverse inequality)
Graph: x \geq -2
📈 Function Practice
Find f(3) for: f(x) = 2x + 1
f(3) =
Hint: Substitute x = 3
Is this a function? {(1,2), (3,4), (1,5), (6,7)}
Hint: Check if x=1 maps to multiple y values
Find the domain: f(x) = \frac{1}{x-2}
Hint: Where is the denominator zero?
🔗 Systems of Equations Practice
🏹 Quadratic Equations Practice
Solve: x^2 = 16
x =
Hint: Take square root of both sides
Use quadratic formula: x^2 - 4x - 5 = 0
x =
Hint: a=1, b=-4, c=-5
🎭 Mixed Algebra Review
Simplify: \frac{3x^2 \cdot 2x^3}{6x^5}
Hint: Multiply coefficients, add exponents
Solve for x: |2x - 3| = 7
Hint: Two cases: 2x-3=7 and 2x-3=-7
Word problem: The sum of two numbers is 20. Their difference is 8. Find the numbers.
Hint: Let x and y be the numbers. x + y = 20, x - y = 8
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