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8 sample questions. Expand to see answers and explanations.
1. Sample Worksheet: Algebra 1 — Solving Linear Equations
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Answer
Problems: 1) 2x + 5 = 13 2) 3x - 7 = 14 3) 4x + 9 = 25 4) 5x - 11 = 19 5) 6x + 3 = 33 6) 7x - 8 = 34
Explanation
This worksheet focuses on two-step linear equations. Students practice isolation strategies: subtract/add first, then divide. Answer key shows each solution step.
2. Sample Worksheet: Geometry — Area and Perimeter
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Answer
Problems: 1) Rectangle 8×5: find area and perimeter 2) Square with side 7: find area and perimeter 3) Circle radius 4: find circumference and area 4) Triangle base 10, height 6: find area
Explanation
Mixed geometry practice applying area and perimeter formulas to different shapes. Students must select and apply the correct formula for each shape.
3. Sample Worksheet: Pre-Algebra — Order of Operations
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Answer
Problems: 1) 3 + 4 × 2 2) (8 - 3) × 4 3) 20 ÷ 4 + 3 × 2 4) 5² - 3 × 4 5) (12 + 8) ÷ 4 6) 3 × (5 + 2) - 6
Explanation
PEMDAS practice with increasing complexity. Students must correctly apply order of operations: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).
4. Sample Worksheet: Fractions — Addition and Subtraction
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Answer
Problems: 1) 1/4 + 2/4 2) 3/5 + 1/5 3) 5/6 - 2/6 4) 2/3 + 1/6 5) 3/4 - 1/3 6) 1/2 + 2/5
Explanation
Fraction practice starting with common denominators, progressing to finding LCD. Later problems require converting fractions before adding or subtracting.
5. Sample Worksheet: Algebra 2 — Quadratic Equations
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Answer
Problems: 1) Factor: x² + 5x + 6 2) Solve: x² - 7x + 12 = 0 3) Complete square: x² + 6x + ___ = (x + ___)² 4) Quadratic formula: x² + 3x - 10 = 0
Explanation
Multi-method quadratic practice: factoring, zero product property, completing the square, and quadratic formula. Students practice selecting the most efficient method.
6. Sample Worksheet: Calculus — Derivatives
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Answer
Problems: 1) f(x) = 3x⁴ 2) f(x) = 5x² - 2x + 7 3) f(x) = (2x + 1)(x - 3) 4) f(x) = (3x² + 4x - 1)
Explanation
Differentiation practice using power rule and product rule. Students must apply derivative rules and simplify results. Answer key shows each step.
7. Sample Worksheet: Statistics — Mean, Median, Mode
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Answer
Data sets: 1) {3, 7, 7, 10, 12, 15, 19} 2) {22, 18, 15, 22, 30, 22, 18} 3) {5.2, 6.8, 4.9, 7.1, 6.8, 5.5}. Find mean, median, and mode for each.
Explanation
Descriptive statistics practice. Students calculate central tendency measures and interpret which measure best represents each dataset.
8. Sample Worksheet: Geometry — Triangle Properties
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Answer
Problems: 1) Two angles are 45° and 60°, find the third 2) Is a triangle with sides 5,12,13 a right triangle? 3) Find missing angle in isosceles triangle with base angles 50° each
Explanation
Mixed triangle problems testing angle sum theorem, Pythagorean theorem verification, and isosceles triangle properties.
Workflow
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Have students complete problems independently, then review together using the answer key
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Tips
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