🧮 algebra

1. **State the problem:** Solve the inequality $$5x - 3 \leq 3x + 11$$ and represent the solution on a number line and as a solution set. 2. **Write the inequality:** $$5x - 3 \leq

1. **State the problem:** We need to find the value of $y$ when $$-5 = \frac{y - 7}{9}.$$\n\n2. **Use the formula and rules:** To solve for $y$, multiply both sides of the equation

1. **State the problem:** Solve the equation $$(x-1)^2 + 2(x-1) + x^2 = 0$$ for $x$. 2. **Expand and simplify:**

1. **State the problem:** Solve the equation $$\sqrt{112} + y\sqrt{28} = 5\sqrt{7}$$ for $y$. 2. **Simplify the square roots:**

1. **State the problem:** Khloe wants to make 4 servings of a recipe that calls for 2 3/4 cups of beans for 12 servings. We need to find how many cups of beans she needs for 4 serv

1. **State the problem:** Grayson wants to make 5 servings of trail mix. The original recipe makes 15 servings and calls for 5 2/3 cups of almonds. We need to find how many cups of

1. The problem is to solve for $u$ in the equation $V = u$. 2. Since the equation is already isolated for $u$, the solution is straightforward.

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.