 |  Simplification 22 Flashcards |  Start |
 | What does simplification involve in mathematics? |  Card: 1 / 22 |
| Simplification involves reducing a mathematical expression to its simplest form, which includes combining like terms, reducing fractions, and eliminating unnecessary parentheses. | Card: 2 / 22 |
| Simplify the expression: 2(x + 3) - 4. | Card: 3 / 22 |
| Distribute the 2: 2x + 6 - 4. Combine constants: 2x + 2. Thus, the simplified expression is 2x + 2. | Card: 4 / 22 |
| Simplify the expression: (x² - 4)(x + 2). | Card: 5 / 22 |
| Use the distributive property (FOIL): x²·x + x²·2 - 4·x - 4·2 = x³ + 2x² - 4x - 8. The simplified expression is x³ + 2x² - 4x - 8. | Card: 6 / 22 |
| How do you simplify the expression 5 - (2x - 3)? | Card: 7 / 22 |
| Distribute the negative sign: 5 - 2x + 3 = 8 - 2x. The simplified expression is 8 - 2x. | Card: 8 / 22 |
| What is the result of simplifying the expression 3x² + 2x - x² - 5? | Card: 9 / 22 |
| Combine like terms: (3x² - x²) + 2x - 5 = 2x² + 2x - 5. The simplified expression is 2x² + 2x - 5. | Card: 10 / 22 |
| How do you simplify the fraction 15x³y² / 3xy? | Card: 11 / 22 |
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| Divide the coefficients: 15/3 = 5. For x: x³/x = x^(3-1) = x². For y: y²/y = y. The simplified expression is 5x²y. | Card: 12 / 22 |
| Simplify the expression: (x + 1)². | Card: 13 / 22 |
| Expand using the formula (a + b)² = a² + 2ab + b²: x² + 2x + 1. Thus, the simplified expression is x² + 2x + 1. | Card: 14 / 22 |
| What is the simplified form of the expression 2x(3x - 4) + 5? | Card: 15 / 22 |
| Distribute 2x: 6x² - 8x + 5. The simplified expression is 6x² - 8x + 5. | Card: 16 / 22 |
| Simplify 4(2x - 3) - 3(2x + 1). | Card: 17 / 22 |
| Distribute: 8x - 12 - 6x - 3 = 2x - 15. The simplified expression is 2x - 15. | Card: 18 / 22 |
| Evaluate and simplify: 2(3 + 5) - 4. | Card: 19 / 22 |
| First, evaluate inside parentheses: 2(8) - 4 = 16 - 4 = 12. The simplified result is 12. | Card: 20 / 22 |
| Simplify the expression: 5x + 3x - 4 + 6. | Card: 21 / 22 |
| Combine like terms: (5x + 3x) + (-4 + 6) = 8x + 2. Therefore, the simplified expression is 8x + 2. | Card: 22 / 22 |
| Completed! Keep practicing to master all of them. |  Restart |
