🧮 algebra

1. **State the problem:** Solve the equation $-3w + 2 = -4$ for $w$. 2. **Isolate the term with $w$:** Subtract 2 from both sides to get:

1. Vamos resolver a expressão $$\frac{(4^{-2})^{5} \times \left(\frac{1}{2}\right)^{10}}{8^{-3}}$$ passo a passo. 2. Primeiro, aplicamos a regra das potências para potências: $$(a^

1. **State the problem:** Solve the literal equation $17n - 20d = 45w + 13n$ for the variable $d$. 2. **Isolate terms involving $d$:** We want to get $d$ alone on one side. First,

1. **State the problem:** Mia earns a base salary of 450 per week plus a 9% commission on sales. She sells 895 worth of beauty supplies in one week. We need to find how much commis

1. Problem: Solve the literal equation $$\frac{2b}{3g} = \frac{s}{4t}$$ for $$t$$. 2. Formula and rules: To solve for $$t$$, we want to isolate $$t$$ on one side of the equation. W

1. **State the problem:** Dane earns a 10% commission on each TV sold. Each TV costs 120. We want to find how much commission Dane makes if 25 TVs are sold. 2. **Formula:** Commiss

1. **State the problem:** Solve the equation $$6 \cdot \frac{| -12g |}{2} + 24 = 48$$ for $g$. 2. **Understand the absolute value:** The absolute value $| -12g |$ is equal to $12|g

1. **State the problem:** Multiply the binomials $$\left(\frac{1}{4}x - 6\right)$$ and $$\left(\frac{4}{3}x - \frac{5}{4}\right)$$ and express the product as a trinomial in simples

1. **State the problem:** Simplify the expression $$\left(\frac{3}{2} u^{-2}\right)^2$$. 2. **Recall the exponent rules:** When raising a product to a power, apply the power to eac

1. The problem is to find the value of $\frac{1}{2}$ divided by 6. 2. Recall that dividing by a number is the same as multiplying by its reciprocal. So, dividing by 6 is the same a

1. **State the problem:** Use the box method to multiply and simplify the expression $(-6x + 3)(-6x + 2)$. 2. **Set up the box:** Create a 2x2 grid. Label the top with the terms of

1. **State the problem:** We need to find the equation of a line in slope-intercept form $y=mx+b$ given the slope $m=1$ and a point $(-1,-7)$ on the line. 2. **Recall the formula:*

1. **State the problem:** Simplify the expression $3p^6q^{-4} \cdot 5p^{-8}q^7$. 2. **Recall the rules:** When multiplying terms with the same base, add the exponents: $a^m \cdot a

1. **State the problem:** Simplify $$\left( \frac{2p^5}{p^2} \right)^{-5}$$ with positive exponents. 2. **Apply the quotient rule for exponents:** $$\frac{p^5}{p^2} = p^{5-2} = p^3

1. **Problem 9 is not provided in the user's message, so it cannot be answered.** 2. **Problem 10: Find the rate of change in temperature from 6:00 a.m. to 2:00 p.m.**

1. El problema es resolver una ecuación o sistema usando el método de sustitución. 2. El método de sustitución consiste en despejar una variable en una ecuación y luego sustituir e

1. The problem asks to describe the graph of $y = x$ shown with a dotted line and compare it with the solid line graph. 2. The equation $y = x$ represents a straight line passing t

1. The problem states: "Twelve less than -9 times a number is equal to eight minus 4 times the number." We need to translate this into an equation and solve for the number. 2. Let

1. The problem is to understand how to draw a function or graph "over the line," which typically means plotting a function on or above a certain line. 2. To do this, we first ident

1. **Stating the problem:** Solve the system of linear equations: $$\begin{cases} x + y - z = 2 \\ 2x - y + z = 1 \\ x - y + 2z = 2 \end{cases}$$

1. **State the problem:** We need to find the value of $a$ such that the equation $3(a + 5) - a = 23$ is true. 2. **Write the equation:**