🧮 algebra

1. **State the problem:** Solve the inequality $X + 9 \geq 12$. 2. **Formula and rules:** To solve inequalities, we isolate the variable on one side by performing inverse operation

1. **State the problem:** Solve the equation $$(x - 3)^2(x^2 - 3) = 0$$ for $x$. 2. **Recall the zero product property:** If a product of factors equals zero, then at least one of

1. **State the problem:** We are given the equation $x = 3\sqrt{\frac{y}{p}}$ and want to understand or manipulate it. 2. **Recall the formula and rules:** The square root function

1. **State the problem:** Brenda mixed 6 cans of blue paint with 7 cans of red paint to make purple paint for 1 wall. Dana wants to paint 4 identical walls with the same purple pai

1. **State the problem:** Write the slope-intercept form $y=mx+b$ for the equations: - $3y + 12 = -12x$

1. **State the problem:** We need to find the sum of the polynomials \((5x^3 - 2x^2 + x - 3) + (-2x^2 + x + 5x + 1)\). 2. **Recall the rule for adding polynomials:** Combine like t

1. **State the problem:** Find the slope $m$, y-intercept $b$, y-intercept coordinate $yint$, x-intercept coordinate $xint$, and the equation in point-slope form $pref$ for the lin

1. **State the problem:** Simplify the expression $$\left( \frac{4x^{3} y^{-4}}{16x^{-3} y^{4}} \right)^{-\frac{1}{2}}$$. 2. **Rewrite the fraction inside the parentheses:**

1. **State the problem:** Add the fractions $\frac{20}{20}$, $\frac{34}{35}$, $\frac{2}{2}$, and $\frac{2}{2}$. 2. **Recall the rule for adding fractions:** To add fractions, they

1. **State the problem:** Simplify the expression $$\left(\frac{n^5}{n-6}\right) \cdot \left(\frac{n^2 - 6n}{n^8}\right)$$. 2. **Rewrite the expression:**

1. The problem is to calculate your overall grade based on the points earned and total points possible from multiple assignments. 2. The formula to calculate the overall grade perc

1. **State the problem:** Simplify the expression $$\frac{a^5 y^3}{w y^2} \div \frac{a^3 w^2}{w^3 y^2}.$$ 2. **Rewrite the division as multiplication by the reciprocal:**

1. El problema es encontrar la función y describir su gráfica para la función dada $f(x) = x^2$. 2. La fórmula es $f(x) = x^2$, que representa una parábola con vértice en el origen

1. **State the problem:** Simplify the expression $4(a+4b)-2(a+b)$. 2. **Apply the distributive property:** Multiply each term inside the parentheses by the factor outside.

1. The problem is to simplify the expressions $x-4$ and $x-6$ or to understand their difference. 2. These are linear expressions representing values decreased by 4 and 6 respective

1. **State the problem:** Perform the long division of the polynomial $$x^8 - 4x^7 + 6x^5 - 2x^4 + 3x^2 + 4$$ by the divisor $$x^3 + 2$$. 2. **Recall the long division formula:** W

1. El problema es realizar la división larga de polinomios y completar los polinomios faltantes. 2. La división larga de polinomios se realiza similar a la división larga de número

1. Het probleem is om de waarde van $\sqrt{4:25}$ te vinden. 2. Eerst interpreteren we de notatie: $4:25$ betekent $\frac{4}{25}$.

1. **State the problem:** We need to identify the graph of the quadratic function $$y = 12x^2 - 80x + 270$$. 2. **Recall the properties of quadratic functions:** The graph of a qua

1. Stating the problem: Simplify the expression $$\frac{3\sqrt{42}}{2\sqrt{6}} - \frac{\sqrt{35}}{\sqrt{5}}$$. 2. Simplify each term separately.

1. **State the problem:** We need to complete the table of values for the function $$f(x) = \frac{4}{x-2}$$ at the points $$x = -2, -1, 0, 1, 2, 3, 4$$. 2. **Recall the function an