🧮 algebra

1. **State the problem:** Simplify the expression $-4(y+1)+2$. 2. **Apply the distributive property:** Multiply $-4$ by each term inside the parentheses.

1. **State the problem:** We need to solve the system of linear equations by graphing and fill in the tables for each equation at $x=0$ and $x=5$. 2. **Equations given:**

1. The problem asks to find the slope of the line passing through the points $(0,4)$ and $(0,6)$. 2. The formula for the slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is

1. Solve $42 = 18 - 4t$. Subtract 18 from both sides:

1. **Problem 1:** Solve the equation $2 - 16 = -32 - \frac{2}{5}f$. 2. First, simplify the left side: $2 - 16 = -14$.

1. Solve $42 \div 3 = 18 - 41 \div 9$. Start by simplifying each division:

1. **State the problem:** Solve the equation $$42 = 18 - 4l$$ for $l$. 2. **Isolate the term with $l$:** Subtract 18 from both sides:

1. **State the problem:** Simplify the expression $$5 - \frac{5}{12} - \frac{5}{28} \times 0.7$$. 2. **Recall the order of operations:** Multiplication comes before subtraction.

1. **State the problem:** Evaluate the expression $5 \cdot (-3) + ((-2)^3 - 2)^2$. 2. **Recall the order of operations:** We first calculate powers, then multiplication, then addit

1. **Problem Statement:** We want to find the amount of snow on the ground over time during and after a snowstorm with different rates of snowfall and melting. 2. **Initial Conditi

1. **State the problem:** Simplify the expression $$\frac{x}{4} + \frac{2y}{3} - \frac{5y}{6} + \frac{4x}{3}$$. 2. **Find a common denominator for the terms involving $x$ and $y$ s

1. **Problem:** Solve the equation $x + 2 = -17$. 2. **Formula:** To isolate $x$, subtract 2 from both sides: $x + 2 - 2 = -17 - 2$.

1. The problem is to simplify the expression: $(2) -1 - (-3)^2 = -1 - (81) \times (-8)^2$. 2. First, evaluate the powers:

1. Stating the problem: Simplify the expression $(2) -1 - (-3)^4$. 2. Recall the order of operations: exponents are evaluated before addition and subtraction.

1. **State the problem:** Find the possible values for the height of a plant that is greater than 2 inches but no more than 8 inches. 2. **Write the inequality:** The height $h$ sa

1. Problem: Erstelle ähnliche Aufgaben zum Wurzelnenner rationalisieren. 2. Formel und Regel: Um den Nenner wurzelfrei zu machen, multiplizieren wir Zähler und Nenner mit dem konju

1. **State the problem:** Evaluate the expression $-1 - (-3)^4$ and verify if it equals $-1(81)$. 2. **Recall the order of operations and exponent rules:** Exponents are evaluated

1. The problem asks to find the value of $p$ in the expression $$-w^2 + \frac{1}{17} p c^2$$ where $p$ and $c$ are constants and $c > 0$. 2. We are given multiple choice options fo

1. The first problem is to solve the inequality $2x + 1 \geq 5$. 2. Start by isolating $x$ on one side. Subtract 1 from both sides:

1. The problem is to analyze the quadratic function $$y = -6(x - 4)^2 + 3$$ and understand its key features. 2. The general form of a quadratic function in vertex form is $$y = a(x

1. The problem is to express $b$ in terms of $a$ and $c$ from the Pythagorean theorem equation: $$a^2 + b^2 = c^2$$