🧮 algebra

1. The problem is to find the zeros of the function $f(x) = x^2 - 9$. 2. The zeros of a function are the values of $x$ for which $f(x) = 0$.

1. **Problem Statement:** Find the zeros of the functions algebraically for problems 7 to 12. 2. **Recall:** The zero of a function $f(x)$ is the value of $x$ for which $f(x) = 0$.

1. **State the problem:** Simplify the expression $-\frac{3}{5} + -\frac{3}{4} - \frac{7}{10}$. 2. **Find a common denominator:** The denominators are 5, 4, and 10. The least commo

1. The problem asks to state which operation needs to be completed first in each expression and then evaluate it. 2. According to the order of operations (PEMDAS/BODMAS), parenthes

1. **State the problem:** A bakery sold 400 cupcakes in a day, 68% of which were mocha cupcakes. We need to find how many cupcakes were chocolate. 2. **Formula and concept:** The t

1. **State the problem:** Ella slept through the last 14% of a road trip. She fell asleep after traveling 602 miles. We need to find the total length of the trip. 2. **Identify the

1. **State the problem:** Emma has 190 masks on her wall, which is 38% of her entire mask collection. We need to find the total number of masks in her collection. 2. **Formula used

1. **State the problem:** Solve the compound inequality $$2x + 5 \leq -6 \text{ or } 2x + 5 \geq 6$$. 2. **Understand the problem:** This is a compound inequality with an "or" cond

1. **State the problem:** We need to find what percentage of the 4500 seats were filled by the 6th graders. 2. **Identify given information:**

1. **State the problem:** Simplify the expressions given: a) $\frac{25}{12}$

1. Stating the problem: Calculate $\frac{5}{6} \div \frac{2}{5}$. 2. Formula: Dividing fractions means multiplying the first fraction by the reciprocal of the second fraction.

1. **State the problem:** We need to find the equation of the line passing through the points $(-4,-7)$ and $(1,7)$ in slope-intercept form, which is $y=mx+b$ where $m$ is the slop

1. **State the problem:** Solve the equation $$2 - 5x = -1 - 4x$$ for $x$. 2. **Write down the equation:** $$2 - 5x = -1 - 4x$$

1. **Find the domain of** $f(x) = x^2 + \frac{x}{5} + \sqrt[3]{x - 11}$. - The function includes a cube root $\sqrt[3]{x - 11}$ which is defined for all real numbers.

1. The problem involves simplifying the expression \(\frac{\sqrt{33} \pi}{\sqrt{3}}\). 2. Recall the property of radicals: \(\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\).

1. The problem is to multiply the fractions $\frac{2}{3}$ and $\frac{3}{14}$.\n\n2. The formula for multiplying fractions is:\n$$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{

1. **Stating the problem:** Simplify the expression $$\frac{\sqrt{105}}{\sqrt{21}}$$ and verify if it equals $$\sqrt{5}$$. 2. **Formula and rules:** Recall that $$\frac{\sqrt{a}}{\

1. **State the problem:** Simplify the expression $$\frac{(3a^{2}b^{3}c^{-2})^{-2}}{a^{2}b^{-1}c^{4}}$$. 2. **Recall the rules:**

1. The problem is to simplify the expression $\sqrt[3]{18}$, which means finding the cube root of 18. 2. Recall the cube root property: $\sqrt[3]{a \times b} = \sqrt[3]{a} \times \

1. **State the problem:** We need to find the values of the function $g$ at $x=0$, $x=1$, and $x=2$ based on the given graph description. 2. **Analyze $g(0)$:** The graph shows a f

1. **State the problem:** Identify which of the given equations matches the graph described. 2. **Analyze the graph:** The graph passes through points near $(-3,0)$ and $(1,0)$, an