🧮 algebra

1. **State the problem:** Jo has a mobile phone plan with a monthly charge of 16.

1. **State the problem:** Solve the equation $2x + 3 = 7$ for $x$. 2. **Formula and rules:** To solve a linear equation, isolate the variable on one side by performing inverse oper

1. **State the problem:** You have four classes, each worth 25% of your overall grade. You scored 85% in three classes and 50% in one class. We need to find your overall mark. 2. *

1. **State the problem:** Solve the rational equation $$\frac{1}{x} - \frac{x}{x-1} = -\frac{3x}{x-1}$$ for all values of $x$. 2. **Identify the common denominator:** The denominat

1. **State the problem:** Simplify fully the expression $\sqrt{3} (\sqrt{27} + \sqrt{3})$. 2. **Recall the properties of square roots:**

1. Stating the problem: Calculate the values of the following expressions using logarithm properties. 2. Recall important logarithm properties:

1. **State the problem:** We need to classify each system of linear equations (A, B, C) as consistent independent, consistent dependent, or inconsistent, and find the solution if i

1. **State the problem:** We are given three systems of linear equations (System A, B, and C) and need to classify each as consistent dependent, consistent independent, or inconsis

1. **State the problem:** Simplify the expression $5\sqrt{8} + \sqrt{18}$. 2. **Recall the rule:** To simplify expressions with square roots, factor the radicand (the number inside

1. **State the problem:** Classify each system of linear equations as consistent dependent, consistent independent, or inconsistent, and find the solution if it exists. ---

1. The problem involves simplifying algebraic expressions given in rectangular boxes. 2. We start with the first expression: $9 - f + 5$.

1. El problema es factorizar y simplificar la expresión $$\left(x-2\right)^2 + 16\left(2-x\right)$$. 2. Recordemos que $$\left(x-2\right)^2 = (x-2)(x-2)$$ y que $$2-x = -(x-2)$$.

1. **State the problem:** Simplify the expression $\left(x-2\right)^2 + 16\left(2-x\right)$.\n\n2. **Recall formulas and rules:** The square of a binomial is given by $\left(a-b\ri

1. Við skulum byrja á að setja upp dæmi í stærðfræði. 2. Segjum að við viljum leysa jöfnuna $$2x + 3 = 7$$.

1. Við erum beðin um að finna hnit vigra sem eru samsíða línunni $y=2x+3$ og hafa lengdina 4. 2. Vigurinn sem er samsíða línunni hefur sama hallatölu og hallatala línunnar. Hallata

1. **State the problem:** We know that 20% of the students brought their lunch, which corresponds to 34 students. We need to find the total number of students in the school, which

1. **State the problem:** We know that 10% of the students brought their lunch, and this corresponds to 40 students. We need to find the total number of students in the school. 2.

1. **Planteamiento del problema:** Se nos da la función cuadrática $$f(x) = x^{2} - 4x + 3$$ y se nos pide graficarla, determinar su dominio y rango, y calcular el valor de $$y$$ c

1. El problema es resolver una ecuación lineal, que tiene la forma general $ax + b = 0$. 2. La fórmula para resolver una ecuación lineal es despejar $x$:

1. **State the problem:** Solve the equation $$4 \{2 - [3(c + 1) - (c + 1)7]^2\} = -2c$$ for $c$. 2. **Simplify inside the brackets:**

1. **State the problem:** Simplify the expression $$A = (x+1)(x+x+1)(x-1)(x^2 - x + 1)$$. 2. **Rewrite and simplify terms:** Notice that $$x+x+1 = 2x+1$$, so the expression becomes