🧮 algebra

1. **State the problem:** Alex has a $\frac{5}{6}$ interest in a partnership. She sold $\frac{5}{8}$ of her interest for 2400. We need to find the total amount of Alex's interest b

1. The problem asks to graph the lines: $y=3x$, $y=4$, and $x=2$. 2. The line $y=3x$ is a linear function with slope 3 and passes through the origin $(0,0)$.

1. The problem involves understanding the relationship between variables $x$ and $y$ given two different values of $k$ and their corresponding data tables. 2. Typically, $k$ repres

1. The problem involves analyzing three tables of values $(x, y)$ and their corresponding constants $k$. 2. Each table suggests a relationship between $x$ and $y$ that can be expre

1. **State the problem:** Solve the system of linear equations: $$-2x + y = 8$$

1. **State the problem:** Solve the equation $$\frac{2}{x+5} + \frac{1}{x-5} = \frac{16}{x^2 - 25}$$ where $x^2 - 25$ can be factored as $(x+5)(x-5)$. 2. **Identify the common deno

1. **State the problem:** Solve the equation $$6 \sqrt{4x} - 3 = 2x - 1$$ for $x$. 2. **Isolate the square root term:** Add 3 to both sides:

1. **State the problem:** Solve the equation $$\sqrt{4x - 3} = 2x - 1$$ for $x$. 2. **Recall the rule:** To solve equations involving square roots, we isolate the square root term

1. **State the problem:** Multiply the rational expressions $$\frac{9y^2-4}{4y-12} \times \frac{18-6y}{9y^2+12y+4}$$. 2. **Factor all polynomials:**

1. **State the problem:** Simplify the expression $$\frac{9y^2-4}{4y-12}x \cdot \frac{18-6y}{9y^2+12y+4}$$. 2. **Factor all polynomials:**

1. **State the problem:** Solve the system of linear equations: $$\frac{3}{5}$$

1. **State the problem:** The ratio of Skittles to Gummy Bears is 3 to 7. There are 51 Skittles. We need to find the total number of pieces of candy. 2. **Understand the ratio:** T

1. **State the problem:** Find the equation of a line parallel to the line given by $$y = -8x + 8$$ that passes through the point $$(4, -7)$$. 2. **Recall the rule for parallel lin

1. The problem is to determine the correct inequality symbol (\textless, \leq, or \geq) to fill in the box for the inequality \(17 \square q\).\n\n2. Since no additional informatio

1. **Stating the problem:** We have a triangle with two equal sides each measuring $x+1$ meters and a base measuring $2x-1$ meters. The perimeter of the triangle is 17 meters.

1. Stating the problem: Solve for $p$ in the equation $p - \frac{4}{9}p = -\frac{7}{9}$.\n\n2. Combine like terms on the left side: $p - \frac{4}{9}p = \frac{9}{9}p - \frac{4}{9}p

1. **State the problem:** We have a grid with numbers 2, 16, 3, and 24 arranged in a 2x3 grid, and a 5 pointing to an unknown $x$. The note says there are 24 purple jelly beans and

1. The problem asks for the equation of a line parallel to the line given by $$y = 2x + 5$$ and passing through the point $$(1,0)$$. 2. Recall that parallel lines have the same slo

1. **State the problem:** Solve the system of linear equations: $$x + 2y = 7$$

1. **Problem:** Simplify the expression $3a^3b^2 - 5a^3b^2 - 2a^3b^2$. 2. **Formula and rules:** When subtracting or adding like terms, combine coefficients and keep the variables

1. **State the problem:** Solve the inequality $$4 > -8x$$. 2. **Recall the rule for inequalities:** When dividing or multiplying both sides of an inequality by a negative number,