🧮 algebra

1. **State the problem:** We need to find the equation of a line with slope $m = -\frac{1}{3}$ that passes through the point $(6, 0)$. 2. **Formula used:** The point-slope form of

1. **State the problem:** We are given several linear equations and asked to find the slope and y-intercept for some, and analyze a line with slope $-\frac{1}{3}$ passing through t

1. **State the problem:** We are given the inequality $$14x + 11y < -4$$ and need to understand its meaning and how to work with it. 2. **Understanding the inequality:** This is a

1. **State the problem:** We need to rewrite the inequality $$16x + 7y \leq -16$$ in slope-intercept form, which means solving for $y$ so that the inequality looks like $$y \leq mx

1. **State the problem:** We need to expand and simplify the expression $$(3x + 2)(2x + 3)$$. 2. **Formula used:** To expand two binomials, we use the distributive property (FOIL m

1. **State the problem:** Expand and simplify the expression $$(3x + 2)(2x + 3)$$. 2. **Formula used:** Use the distributive property (FOIL method) for binomials: $$(a + b)(c + d)

1. **State the problem:** We need to write the inequality $x - y \geq -2$ in slope-intercept form. 2. **Recall the slope-intercept form:** The slope-intercept form of a linear equa

1. **State the problem:** We need to identify which graph corresponds to the equation $$2x - 2y = 36$$. 2. **Rewrite the equation in slope-intercept form:**

1. **State the problem:** We need to identify which graph corresponds to the equation $$2x - 10y = 40$$. 2. **Rewrite the equation in slope-intercept form:** To understand the grap

1. **State the problem:** We need to identify which graph corresponds to the equation $$x - 2y = 30$$. 2. **Rewrite the equation in slope-intercept form:** To understand the graph,

1. **State the problem:** We need to identify which graph corresponds to the equation $$6x + 3y = 18$$. 2. **Rewrite the equation in slope-intercept form:**

1. **State the problem:** We need to identify which graph corresponds to the equation $$9x + 2y = 9$$. 2. **Rewrite the equation in slope-intercept form:** To understand the graph,

1. **State the problem:** We need to identify which graph corresponds to the equation $$2x - 2y = 36$$. 2. **Rewrite the equation in slope-intercept form:**

1. **State the problem:** We need to determine which equation corresponds to the given graph. 2. **Analyze the graph:** The line crosses the y-axis at about $6$ and the x-axis at a

1. **State the problem:** We need to solve the inequality $$-4b > 16$$ for the variable $b$. 2. **Recall the rule for inequalities:** When dividing or multiplying both sides of an

1. **State the problem:** We have a total of $60$ vehicles, split into mopeds and cars. - Total vehicles: $60$

1. **Problem Statement:** We need to find the distance from Amy's friend's house to the skate park. 2. **Understanding the graph:** The graph shows distance from home (vertical axi

1. **State the problem:** We want to find an expression equivalent to $$2^{-7} \cdot \frac{2^{-7}}{2^{0}}$$. 2. **Recall the exponent rules:**

1. **State the problem:** We want to simplify the expression $$\frac{6^{-3}}{(6^{-6})^2}$$ and find which equivalent expression it matches. 2. **Recall exponent rules:**

1. **State the problem:** Carlos paints two rectangular walls at the same rate per square foot. The first wall measures $25$ feet by $12$ feet, and the second wall measures $18$ fe

1. **State the problem:** Jasmine bought tickets for $179$ and a parking pass for $71$. The total paid was $260$, which includes the arena's service fee. We need to find the percen