🧮 algebra

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: $$a^2 + b^2 = c^2$$

1. **State the problem:** We are given the formula for simple interest: $$I = Prt$$ where $I$ is the interest earned, $P$ is the principal, $r$ is the interest rate, and $t$ is the

1. **State the problem:** Simplify the expression $$\frac{2x^2 - 4x + 1}{2x^4 - 6x^2 - 5x + 7}$$. 2. **Factor numerator and denominator if possible:**

1. **State the problem:** We are given the expression $0.2y^2 + 0.32y + 0.96$ and want to rewrite it in the form $a(5y^2 + 8y + 24)$, where $a$ is a constant. 2. **Identify the for

1. **State the problem:** Supriya uses 12 oz of dough to make one batch of papadums. She has 60 oz of dough in total and wants to find out how many batches ($b$) she can make. 2. *

1. **State the problem:** Supriya uses 12 oz of dough to make one batch of papadums. She has 60 oz of dough in total and wants to find out how many batches she can make. 2. **Write

1. The problem is to understand the shape and behavior of the function $f(x) = a^x$ where $a > 0$ and $a \neq 1$. 2. The formula for an exponential function is $f(x) = a^x$, where

1. We are asked to compare pairs of exponential expressions involving powers of 2 and powers of \( \frac{1}{2} \). The goal is to determine the inequality symbol (\( <, >, = \)) th

1. Problema: Rasti apytikslius lygties $$-x^2 - 3 = 4^{x-1}$$ sprendinius intervale $$x \in [-4,4]$$ remiantis grafiku. 2. Formulė: Lygtis lygina dvi funkcijas: parabolę $$y = -x^2

1. The problem is to find approximate solutions to the equation $$4^{x+2} + 2 = \frac{1}{3}x + 2$$ for $$x \in [-4,4]$$. 2. First, simplify the equation by subtracting 2 from both

1. Išspręskime nelygybę $-12x - 2 \geq -3^{x+1} + 1$.\n\n2. Pirmiausia perkelkime visas išraiškas į vieną pusę, kad būtų lengviau analizuoti: \n$$-12x - 2 + 3^{x+1} - 1 \geq 0$$\n\

1. **State the problem:** Factorize the expression $$3a^2 - 5ab + 2b^2 - a - b - 10$$ by arranging it first in powers of $a$ and then in powers of $b$. 2. **Arrange in powers of $a