Section 10.4: Cumulative Review
This section provides cumulative problems covering all topics studied in the course: algebraic expressions, linear equations, inequalities, functions, exponents, polynomials, quadratics, rational expressions, and systems of equations.
Cumulative Practice Problems
- Simplify: \( 4x^3 \cdot 2x^2 \)
- Solve: \( 3x - 7 = 8 \)
- Solve inequality: \( 5x + 2 > 12 \)
- Factor: \( x^2 - 9x + 20 \)
- Solve quadratic: \( x^2 - 5x + 6 = 0 \)
- Complete the square: \( x^2 + 8x + ? = 0 \)
- Simplify rational expression: \( \frac{x^2 - 4}{x^2 - 2x} \)
- Solve system by elimination: \( 2x + y = 7, 3x - y = 8 \)
- Graph: \( y = -x + 4 \) and \( y = 2x - 1 \)
- Word problem: A store sold 80 items. Jackets $50, scarves $20. Total $2,600. Find the numbers sold.