🧮 algebra

1. **State the problem:** Solve the inequality $$-7k - 1 + 7k < 8 + 3k - 6$$. 2. **Simplify both sides:** On the left side, combine like terms:

1. **State the problem:** Solve the inequality $$c + 38 - 8 \geq -4$$ and represent the solution on a number line. 2. **Simplify the inequality:** Combine like terms on the left si

1. The problem is to understand the relationship or pattern between the numbers 4, 5, and 6. 2. Since no specific operation or question is given, let's consider these as consecutiv

1. **State the problem:** Solve the inequality $-3(c - 22) < 15$ and express the solution in inequality notation. 2. **Use the distributive property:** Multiply $-3$ by each term i

1. **State the problem:** Solve the absolute value equation $$| -4y - 6 | + 4 = 6$$. 2. **Isolate the absolute value:** Subtract 4 from both sides:

1. **State the problem:** Solve the linear equations given: Equation 1: $x + 7 = -14$

1. **State the problem:** Solve the linear equation $5x + 2y = 19$ for $y$ in terms of $x$. 2. **Formula and rules:** To express $y$ in terms of $x$, isolate $y$ on one side of the

1. **State the problem:** Solve the linear equation $$3x + 2y = 12$$ for one variable in terms of the other. 2. **Formula and rules:** This is a linear equation in two variables. T

1. **Problem Statement:** Solve the linear equation $ax + b = 0$ for $x$. 2. **Formula and Rules:** The general form of a linear equation in one variable is $ax + b = 0$, where $a$

1. **State the problem:** Calculate the total amount Bong'i has to pay for water usage based on the tariffs and quantities given, including 15% VAT.

1. **Stating the problem:** Calculate the total cost of a meal that costs 159.50 with an added 10% service charge. 2. **Formula used:** Total cost = Original cost + Service charge

1. **State the problem:** Simplify or analyze the expression $4x^2 + 11x + y - 1$. 2. **Identify the terms:** The expression contains quadratic term $4x^2$, linear term $11x$, a li

1. **State the problem:** Solve the equation $2^x = 0.25$ for $x$. 2. **Recall the formula and rules:** We know that $0.25$ can be written as a power of 2 because $0.25 = \frac{1}{

1. **State the problem:** Solve the equation $2^x = 0.25$ for $x$. 2. **Recall the formula and rules:** We know that $0.25$ can be written as a power of 2 because $0.25 = \frac{1}{

1. **Problem Statement:** We are given a graph that starts near $y=6$ at $x=0$, decreases sharply to $y=0$ near $x=1$, rises to a peak near $y=2.5$ at $x=2$, then falls again to $y

1. The problem is to identify the function represented by the given graph. 2. The graph starts at approximately (0, 6), decreases steeply to (1, 0), rises to a peak near (2, 2.5),

1. Solve $6 = \frac{a}{4} + 2$. Subtract 2 from both sides: $6 - 2 = \frac{a}{4}$.

1. **State the problem:** We need to find the 28th term $a_{28}$ of the sequence defined by the recurrence relation $a_n = a_{n-1} + \frac{5}{2}$, given that the 26th term $a_{26}

1. **Problem:** Given the height of a tree $h = 1.7t + 28$, find the slope and y-intercept and explain their meanings. 2. **Formula:** The equation of a line is $y = mt + b$, where

1. Given the slope $m=\frac{2}{3}$ and y-intercept $b=-10$, the line equation is $y=\frac{2}{3}x-10$. 2. Given slope $m=-\frac{7}{9}$ and point $(0,-\frac{1}{2})$, since $x=0$ is t

1. The problem asks us to transform the graph of the function $y=f(x)$ (dashed curve) to the graph of $y=-f(x-3)-3$ (solid curve). 2. The transformation involves three steps applie