The images contain math problems covering various algebraic topics, including:

1. Calculating Values of Expressions (Arithmetic operations, fractions, and integers)
2. Solving Equations (Linear equations, absolute values, and polynomial evaluations)

Let's break down and solve a few representative examples from each section:

I. Calculate the Value of Expressions

1. $[2 - 5 - (-3)] \div 9 - 2 \cdot 4$

   • Simplify inside the brackets first: $2 - 5 + 3 = 0$
   • The expression becomes: $0 \div 9 - 8 = -8$

2. $5 + (-5) - 3 + 1 =$

   • Combine terms: $0 - 3 + 1 = -2$

II. Evaluate Fractions and Mixed Operations

For example: $\frac{3}{4} \div 2 + \frac{1}{2}$

• Divide fractions: $\frac{3}{4} \times \frac{1}{2} = \frac{3}{8}$
• Add $\frac{3}{8} + \frac{1}{2} = \frac{3}{8} + \frac{4}{8} = \frac{7}{8}$

III. Rational Numbers and Decimals

1. $1.6 - \frac{3}{5} \div \left(-\frac{2}{4}\right) \cdot 0.2 - \frac{4}{5}$
   • Compute each operation step by step to reach the solution.

IV. Solve Equations

1. $|x - 2| = 2x - 1$
   • Two cases: $x - 2 = 2x - 1$ or $x - 2 = -(2x - 1)$
   • Solve for $x$ in each case.

V. Evaluate Polynomials

For example: $P(x) = 3x^4 - 9x^3 + 8x^2 + 2x - 8$ for $x = 2$

• Substitute $x = 2$ and calculate each term to find $P(2)$.

Would you like me to go into detail on any specific question or provide further explanations for these problems?

Related Questions:

1. How do you approach solving equations with absolute values?
2. What steps are involved in simplifying expressions with mixed operations?
3. How can you efficiently evaluate polynomials for given values?
4. What is the general method for solving rational expressions?
5. How do you handle negative signs in complex arithmetic calculations?

Tip:

Always simplify expressions inside parentheses first, and follow the order of operations: parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).