Subjects algebra

Varied Examples B89613

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1. The user asked for "other examples" but did not specify a particular math topic or problem. 2. To provide useful examples, I will give a few different types of algebra problems with solutions. Example 1: Solve for $x$ in the equation $2x + 3 = 7$. - Subtract 3 from both sides: $$2x + 3 - 3 = 7 - 3$$ - Simplify: $$2x = 4$$ - Divide both sides by 2: $$\cancel{2}x = \frac{4}{\cancel{2}}$$ - Simplify: $$x = 2$$ Example 2: Factor the quadratic expression $x^2 - 5x + 6$. - Find two numbers that multiply to 6 and add to -5: -2 and -3. - Write as: $$(x - 2)(x - 3)$$ Example 3: Find the slope of the line passing through points $(1,2)$ and $(3,8)$. - Use slope formula: $$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8 - 2}{3 - 1} = \frac{6}{2} = 3$$ These examples cover solving linear equations, factoring quadratics, and finding slope.