🧮 algebra

1. **State the problem:** Find the value of $a$ in the vertex form of a quadratic function $f(x) = a(x - h)^2 + k$ given the vertex and a point on the parabola.

1. **State the problem:** We are given a quadratic function $f(j) = j^2$ and need to complete the function table for $j = -1, 0, 1, 2$ by calculating $f(j)$ for each value. 2. **Fo

1. **State the problem:** We are given the function $f(g) = g^2 + 4$ and a table with values of $g$ as $-2$, $0$, $2$, and $4$. We need to find the corresponding values of $f(g)$ f

1. **State the problem:** Solve the compound inequality $$5k + 9 \geq 14$$ or $$-7k - 5 \geq 2$$ and graph the solution on a number line. 2. **Solve the first inequality:**

1. **State the problem:** Solve the compound inequality $$6 < k - 1 \leq 11$$ and graph the solution on a number line. 2. **Write the inequality:** $$6 < k - 1 \leq 11$$

1. **State the problem:** Solve the compound inequality $$-6 \leq \frac{5g - 8}{3} < 4$$ for $g$ and graph the solution on a number line. 2. **Recall the rule:** When solving inequ

1. **State the problem:** Solve the compound inequality $$t + 17 \leq 18 \text{ or } \frac{t + 16}{3} > 6$$ and graph the solution on a number line from 0 to 9. 2. **Solve the firs

1. **State the problem:** Solve the compound inequality $$9f - 2 > 16 \text{ or } \frac{f + 20}{2} \leq 10$$. 2. **Solve the first inequality:**

1. **State the problem:** Solve the compound inequality $$9f - 2 > 16$$ or $$\frac{f + 20}{2} \leq 10$$. 2. **Solve the first inequality:**

1. **State the problem:** Solve the compound inequality $$5 \geq \frac{3n - 2}{2} \geq -10$$ and graph the solution. 2. **Understand the inequality:** This means $$\frac{3n - 2}{2}

1. The problem is to solve the compound inequality: $$j - 16 > -10 \text{ or } 2j + 5 \leq -7$$ and then graph the solution. 2. Solve each inequality separately.

1. **State the problem:** Solve the compound inequality $$j - 16 > -10 \text{ or } 2j + 5 \leq -7$$ and graph the solution. 2. **Solve the first inequality:**

1. **State the problem:** Solve the compound inequality $$y - 20 \geq -9 \text{ or } y - 5 \leq 2$$ and graph the solution on a number line. 2. **Solve each inequality separately:*

1. **State the problem:** Solve the compound inequality $$6 > g - 14 \geq 3$$ for $g$ and graph the solution on a number line. 2. **Understand the compound inequality:** This means

1. **State the problem:** Solve the compound inequality $$m + 8 \leq 8 \text{ or } m + 3 \geq 12$$ and graph the solution. 2. **Solve each inequality separately:**

1. **State the problem:** Solve the compound inequality $$m + 8 \leq 8 \text{ or } m + 3 \geq 12$$ and graph the solution on a number line. 2. **Solve each inequality separately:**

1. **State the problem:** Solve the compound inequality $$v - 20 \geq -5 \text{ or } v - 15 < -3$$ and graph the solution on a number line. 2. **Solve each inequality separately:**

1. **State the problem:** Find the least common multiple (LCM) of the polynomials $9(x + 2)(2x - 1)$ and $3(x + 2)$.\n\n2. **Recall the formula and rules:** The LCM of two polynomi

1. **State the problem:** Solve the equation $12 + 2d = 4d - 8$ for $d$. 2. **Write down the equation:**

1. **State the problem:** Mason owns 48 books in total. Hanna owns 6 times as many non-fiction books as Mason. We need to find how many books Hanna owns in total. 2. **Analyze Maso

1. Solve for $x$ in the equation $x - 5 = -8$. $$x - 5 = -8$$