🧮 algebra

1. **State the problem:** Find the equation of the line in slope-intercept form $y=mx+b$ that passes through the point $(5,4)$ and is perpendicular to the line given by $2x - 10y =

1. The problem is to find an equivalent fraction to $\frac{3}{9}$ with a denominator of 27. 2. Recall that equivalent fractions have the same value but different numerators and den

1. **State the problem:** Evaluate the expression $$(2 \cdot 3)^2 - 5^2$$ without rounding. 2. **Recall the order of operations:** First, perform multiplication inside the parenthe

1. The problem states that 1 batch of cookies requires 3 eggs. 2. We want to find the total number of eggs $n$ needed for $b$ batches.

1. The problem is to graph the equation given by the user. 2. Since the user did not specify an equation, I cannot graph a specific function.

1. The problem is to graph the equation given by the user. 2. Since the user did not specify an equation, I cannot graph a specific function.

1. The problem is to graph the equation given by the user. 2. Since the user did not specify an equation, I will assume a general example: $y = x^2$.

1. **State the problem:** Simplify the expression $$(4s-4)(-s^2 + 3s + 1)$$. 2. **Recall the distributive property:** To multiply two polynomials, multiply each term in the first p

1. **State the problem:** We need to divide the polynomial $-3x^2 + 68$ by the binomial $x - 5$. 2. **Formula and method:** Polynomial division can be done using long division or s

1. **State the problem:** Simplify the expression $$-6(4q^2 - 4q - 3)$$. 2. **Formula and rules:** Use the distributive property: $$a(b + c + d) = ab + ac + ad$$.

1. **State the problem:** Divide the polynomial $4q^3 - 23q^2 - 16q + 67$ by $q - 6$ and express the result including any remainder as a fraction. 2. **Recall the division formula:

1. The problem is to understand the correct form of the linear equation, which is $y = mx + b$, not $y = mx + 6$. 2. The formula $y = mx + b$ represents a straight line where:

1. **State the problem:** Find the equation in the form $y = mx + 6$ of the line containing the point $(2, 5)$ and perpendicular to the line $2x + y = -3$. 2. **Identify the slope

1. **State the problem:** Solve the equation $$-\frac{1}{4}h = -\frac{5}{6}$$ for $h$. 2. **Formula and rules:** To solve for $h$, we need to isolate $h$ on one side of the equatio

1. **State the problem:** Solve the equation $\frac{3}{7} = -\frac{9}{14}d$ for $d$. 2. **Formula and rules:** To solve for $d$, we want to isolate $d$ on one side of the equation.

1. **State the problem:** We are given two speed lines for Ariana and Glenn and need to complete ratio/rate tables, find unit rates, list points, and answer distance/time questions

1. **Problem:** How many widgets can the factory produce in 5 days? Given data: Widgets produced each day increase by 800 per day: 800, 1600, 2400, 3200, 4000.

1. Masalah: Buktikan bahwa elemen identitas pada grup adalah unik. 2. Definisi: Dalam teori grup, elemen identitas $e$ adalah elemen yang memenuhi $e \cdot a = a \cdot e = a$ untuk

1. **State the problem:** Calculate the value of the expression $-8 \times (-10) - 7 \times \left(\frac{1}{-1}\right)$. 2. **Recall the rules:** Multiplying two negative numbers re

1. **State the problem:** Calculate the product $$(-3 \cdot 10^{4}) \cdot (2 \cdot 10^{-3})$$. 2. **Recall the multiplication rule for powers of 10:** When multiplying powers of 10

1. **State the problem:** Simplify the expression $$\frac{8r}{5} - \frac{rs^2}{4}$$. 2. **Find a common denominator:** The denominators are 5 and 4. The least common denominator (L