🧮 algebra

1. **Stating the problem:** We want to understand how to factor trinomials and identify conditions for perfect square trinomials. 2. **Factoring a trinomial:** A trinomial of the f

1. The problem asks to find the equation that represents the hanger diagram described. 2. The diagram consists of a vertical yellow rectangular bar labeled 9 on the inside left.

1. The problem is to find the values that fill in the blanks in a given expression or equation. 2. Since the user did not provide a specific equation or expression, I cannot solve

1. **State the problem:** Winterfield Bike Shop pays 420 for a bicycle and marks up the price by 17.2% to find the retail price. 2. **Formula used:** Retail price = Cost price + Ma

1. Das Problem lautet: Löse die Gleichung Nr. 3 (bitte spezifiziere die Gleichung, falls vorhanden). 2. Da keine konkrete Gleichung gegeben ist, kann ich nur allgemein erklären, wi

1. Problem: a) Gib zwei Terme an, die den Flächeninhalt des Rechtecks beschreiben. 2. Ein Rechteck hat Seitenlängen $x+2$ und $x+3$. Der Flächeninhalt $A$ ist das Produkt der Seite

1. **State the problem:** Find the inverse of the relation given by the set of ordered pairs $\{(-3,-7), (0,-1), (5,9), (7,13)\}$ and determine if the inverse is a function. 2. **R

1. **State the problem:** We need to identify which scenarios can be described by the number $-300$. 2. **Understand the meaning of negative numbers:** Negative numbers often repre

1. **State the problem:** The temperature was initially $-16$ degrees and it rose by $23$ degrees. We need to find the new temperature. 2. **Formula and concept:** When a temperatu

1. The problem states that a football team was on the 35 yard line and lost 12 yards on a play. 2. We need to find the integer that represents the new position after losing 12 yard

1. **State the problem:** Blaine withdraws 78 from his bank account, but he only had 60 in the account. We want to find the new account balance using an integer. 2. **Understand th

1. **State the problem:** Simplify the expression $$6x - 8 - 4x + 2$$ by grouping like terms. 2. **Identify like terms:** Variable terms contain $$x$$ and constant terms are number

1. **State the problem:** Melvin wants to withdraw 65 from his bank account, which currently has 80. 2. **Identify the operation:** Withdrawing money means subtracting the amount w

1. The problem states that the temperature was initially $-7$ degrees and then rose by $80$ degrees. 2. To find the new temperature, we use the formula for temperature change:

1. The problem states that Samuel initially has $415 in his bank account and deposits an additional $135. 2. To find the new account balance, we need to add the initial amount and

1. The problem asks which scenarios could describe the number -5. 2. Let's analyze each option:

1. The problem states that Kerri initially has $37 in her bank account and deposits an additional $234. 2. To find the new account balance, we add the initial amount and the deposi

1. **State the problem:** Simplify the fraction $\frac{1}{4}$ or understand its value. 2. **Formula and explanation:** A fraction $\frac{a}{b}$ represents the division of $a$ by $b

1. **State the problem:** Find the number if the result is 7. 2. **Set up the equation:** Let the number be $x$. The problem states the result is 7, so we have:

1. The problem states that the temperature was initially 40 degrees below zero and then dropped to 54 degrees below zero. 2. We need to find the integer that describes the new temp

1. The problem asks which scenarios could describe the number -300. 2. Negative numbers often represent a decrease, loss, or position below a reference point.