🧮 algebra

1. **Problem statement:** a. Define what 1 unit of water consumed means.

1. **State the problem:** Expand the expression $$(2x+5)(3x+6)$$. 2. **Formula used:** Use the distributive property (also known as FOIL for binomials):

1. **State the problem:** Expand the expression $$(2x-4)(x+3)$$. 2. **Formula used:** Use the distributive property (also known as FOIL for binomials): $$(a+b)(c+d) = ac + ad + bc

1. **Task 1: Interpret the graph** (i) The domain of a graph is the set of all possible input values (x-values) for which the graph is defined. The range is the set of all possible

1. The problem is to solve the assignment question, but since no specific math problem was provided, I will explain how to approach typical algebra assignments. 2. Generally, algeb

1. Since you asked to show only the working out, I will provide the detailed steps for a generic algebraic problem as an example. 2. Suppose we want to solve the quadratic equation

1. Let's start by understanding what you want to simplify. Simplifying usually means making an expression or problem easier to work with or understand. 2. If you have a specific ma

1. **State the problem:** Simplify the expression $$\sqrt{2}^2 + 5(2)$$. 2. **Recall the rules:**

1. **Task 1: Interpret the graph** (i) The domain of a graph is the set of all possible input values (x-values) for which the graph is defined. The range is the set of all possible

1. **State the problem:** Simplify the expression $4 + 5 \times 3 \times 4 \times 5 \div 2 \times 100$. 2. **Recall the order of operations (PEMDAS/BODMAS):**

1. **Task 1: Interpret the Domain and Range Graph** 1. The problem asks to identify the domain and range of the graph, and determine if it represents a function and a one-to-one fu

1. **Identifier le coefficient directeur et l'ordonnée à l'origine** pour chaque fonction affine. Pour une fonction affine $f(x) = ax + b$, $a$ est le coefficient directeur (pente)

1. **State the problem:** We have a table showing input-output pairs and want to find the relationship between "In" and "Out" values. 2. **Given data:**

1. Solve $2x - 18 = 44$. Step 1: Add 18 to both sides to isolate the term with $x$.

1. **State the problem:** Solve for $x$ in the equation $$10 = 1 + \frac{3}{x}$$. 2. **Isolate the fraction:** Subtract 1 from both sides to get $$10 - 1 = \frac{3}{x}$$ which simp

1. **State the problem:** Solve the equation $7x + 4 = 5x - 18$ for $x$. 2. **Write down the equation:**

1. **State the problem:** Solve for $x$ in the equation $$\frac{a}{x+a} + \frac{1}{x-b} = \frac{a+b}{x+c}.$$\n\n2. **Identify the formula and approach:** To solve for $x$, we need

1. **State the problem:** Simplify the expression $$(4 - x)(3 + 2x)$$. 2. **Formula used:** To multiply two binomials, use the distributive property (also known as FOIL for binomia

1. **State the problem:** Simplify the expression $$\frac{31^2+15^2}{2}-31\times15$$. 2. **Recall the formula and rules:** This expression involves squares, addition, division, and

1. **State the problem:** Simplify the expression $$(4-x)(3+2x)$$. 2. **Formula used:** To multiply two binomials, use the distributive property (also known as FOIL for binomials):

1. **State the problem:** Solve the equation $$\frac{2}{3}w - \frac{2}{3} = 0$$ for the variable $w$. 2. **Write down the equation:** $$\frac{2}{3}w - \frac{2}{3} = 0$$