🧮 algebra

1. **State the problem:** We are given the linear equation $$1.5x + 4.5y = 18$$ and asked to find the slope of its graph. 2. **Rewrite the equation in slope-intercept form:** The s

1. **State the problem:** We are given the equation $$y = -4x + 12$$ and need to understand or analyze it. 2. **Identify the type of equation:** This is a linear equation in slope-

1. **State the problem:** We are given two expressions for $y$:

1. **State the problem:** Simplify the expression $3(1/4)$. 2. **Understand the expression:** This means multiplying $3$ by the fraction $\frac{1}{4}$.

1. **State the problem:** We are given the quadratic function $$f(x)=3x^2-2x-8$$ and we want to analyze it. 2. **Recall the general form:** A quadratic function is generally writte

1. **State the problem:** Find the intercepts of a function or equation. 2. **Recall definitions:**

1. **State the problem:** Solve the equation $$11 + 2p = p + 4$$ for the variable $$p$$. 2. **Write down the equation:** $$11 + 2p = p + 4$$

1. **State the problem:** We are given two points $(1,-9)$ and $(-3,3)$ on the graph of a linear function $f$. We need to find the slope and the zero (root) of the linear function

1. **State the problem:** We need to graph the line given by the equation $$y = \frac{7}{3} x - 2$$ on a coordinate grid. 2. **Identify key components:** The equation is in slope-i

1. **Problem Statement:** We analyze four jobs with linear earnings given by:

1. **State the problem:** We are given a parabola with vertex at $(-2, 6)$ and a point on the parabola at $(-1, 3)$. We want to find the equation of the parabola in vertex form.

1. **State the problem:** We analyze the polynomial function $$f(x)=x(x-2)(x+1)^2$$ to determine its end behavior, zeros and their behavior at the x-axis, y-intercept, and then gra

1. **Stel het probleem vast:** Bereken $5 \frac{2}{9} - 2 \frac{5}{9}$.\n\n2. **Zet de gemengde getallen om in onregelmatige breuken:**\n\n$$5 \frac{2}{9} = \frac{5 \times 9 + 2}{9

1. **Stel het probleem vast:** We moeten de volgende aftrekking uitvoeren: $$6 \frac{7}{13} - 3 \frac{3}{13}$$. 2. **Zet de gemengde breuken om in onjuiste breuken:**

1. **State the problem:** We need to find the length of one side of a square deck given its area is $$324$$ ft². 2. **Formula:** The area $$A$$ of a square with side length $$s$$ i

1. **Stel het probleem vast:** Bereken $$2 \frac{3}{4} - 1 \frac{1}{4}$$. 2. **Zet de gemengde getallen om in onzuivere breuken:**

1. **Stel het probleem vast:** We moeten de som berekenen van $$3 \frac{6}{7}$$ pizza's en $$2 \frac{4}{7}$$ pizza's. 2. **Zet de gemengde getallen om in onregelmatige breuken:**

1. **Stel het probleem vast:** We moeten $\frac{7}{8} + 3 \frac{7}{8}$ optellen en het resultaat vereenvoudigen. 2. **Zet gemengde breuken om in onregelmatige breuken:**

1. **State the problem:** Simplify the expression $$(7s^4tu)(7st^8u)$$. 2. **Write the formula and rules:** When multiplying expressions with the same base, add the exponents: $$a^

1. **State the problem:** We need to find the equation of a parabola in vertex form given the vertex $(-3, 3)$ and a point on the parabola $(-4, 0)$. 2. **Recall the vertex form of

1. **State the problem:** We need to find the quadratic function $f(x)$ that passes through the points $(3, 0)$ and $(-4, 0)$ and has a leading coefficient of $-2$. 2. **Recall the