Final Review: Chapter 1 & Chapter 2 – Numbers, Expressions, Equations, and Word Problems

Apuntes

**Final Review A** **Chapter 1** • Subtopic: Number Classification 1. Identify each number as natural, whole, integer, rational, or irrational. Write all that apply. - (a) 0 - (b) π - (c) –13 2. Which of the numbers 0, \(-\frac{1}{2}\), \(\sqrt{2}\), π, 0.13, \(\frac{3}{7}\), and 2.7182… are rational? • Subtopic: Algebraic Translation 3. Translate “1 less than twice a number” into algebra. • Subtopic: Expression Components 4. Identify the (a) coefficient(s) and (b) constant term in the expression \(7x + 2y + 14\). • Subtopic: Properties of Numbers 5. Identify the missing part and the property used. - (a) π + ? = π - (b) 8(u + 2) = 8u + ? - (c) a( ? ) = 1 - (d) (73)( ? ) = 0 • Subtopic: Simplification 6. Simplify \(4(3 - 1)^2 - 6 + 10\). 7. Simplify \(7 - (-4)\). 8. Simplify \(-9^2\). **Chapter 2** • Subtopic: Solving Equations Solve. If there is no solution, write "no solution." 9. \(7(x + 10) = 4(x + 25)\) 10. \(0.2x - 0.1 = 0.4x + 0.7\) 11. \(\frac{1}{2}x + \frac{1}{8} = \frac{1}{4}\) 12. \(3|x + 6| + 1 = 16\) 13. \(|4x - 2| + 9 = 5\) 14. Solve \(y = mx + b\) for \(x\). • Subtopic: Evaluation and Absolute Value 15. Evaluate the expression \(3y(5x - y) + x\) when \(x = 0\) and \(y...