🧮 algebra

1. **State the problem:** Jen has 72 flowers and arranges them equally into 6 vases. We need to find how many flowers, $v$, are in each vase. 2. **Write the equation:** Since the t

1. The problem is to convert the mixed number percentage $2 \frac{1}{2}\%$ into a decimal or fraction. 2. Recall that a percentage means "per hundred," so $x\% = \frac{x}{100}$.

1. The problem asks whether the prime factors of 99 are 9 and 11. 2. Prime factors are prime numbers that multiply together to give the original number.

1. Planteamos el problema: Dada la función cuadrática $$g(x) = -x^2 + 6x - 14$$, escribiremos la ecuación en la forma $$g(x) = a(x-h)^2 + k$$, encontraremos el eje de simetría, y d

1. **Stating the problem:** We want to find variables in a binomial equation, which typically looks like $ (a + b)^n $. 2. **Formula used:** The binomial theorem states:

1. **State the problem:** Determine if 38, 58, and 76 are all multiples of 19. 2. **Recall the definition:** A number $n$ is a multiple of another number $m$ if there exists an int

1. **State the problem:** Determine if the numbers 38, 58, and 76 are all multiples of 19. 2. **Recall the definition:** A number $n$ is a multiple of 19 if there exists an integer

1. **State the problem:** We need to express the numbers 60, 88, and 120 as products of their prime factors. 2. **Recall the prime factorization method:** Prime factorization means

1. **State the problem:** Solve the quadratic equation $$2x^2 - 5x + 3 = 0$$. 2. **Recall the factoring method:** To solve quadratic equations by factoring, we look for two binomia

1. **State the problem:** We need to find the break-even function $t(p)$ relating ticket sales $t$ to price $p$, then solve for the ticket price $p$ that meets the student attendan

1. The problem is to evaluate the expression $7 \_ 7 \frac{1}{2}$, which appears to be $7 - 7 \times \frac{1}{2}$.\n\n2. The order of operations (PEMDAS/BODMAS) tells us to do mult

1. **State the problem:** Solve the inequality $$5x + 2 \leq 3x + 10$$. 2. **Write down the inequality:** $$5x + 2 \leq 3x + 10$$.

1. **State the problem:** Solve the inequality $$5(x + 2) \geq 3x + 14$$. 2. **Apply the distributive property:** Multiply 5 by both terms inside the parentheses.

1. **State the problem:** We are given the following equations involving fruits: 🍎 = 7

1. **State the problem:** Simplify the expression $$\sqrt{x}(x^{2n+1}) \cdot \sqrt[3]{x^{3n}}$$ where $$x > 0$$. 2. **Recall the rules:**

1. **State the problem:** A store owner discounted birthday cards from $1 to $0.58. We need to find the discount as a percentage. 2. **Formula for discount percentage:**

1. **State the problem:** We need to find the discount percentage when the price of microscopes drops from 50 to 14. 2. **Formula:** The discount percentage is given by

1. El problema es multiplicar los binomios $ (x - 3z)(8x + 5z) $ y simplificar la expresión resultante. 2. Usamos la propiedad distributiva para multiplicar cada término del primer

1. **State the problem:** Graph the line $y=2x-5$ and find ordered pairs on it. 2. **Formula:** The line equation is $y=mx+b$ where $m$ is slope and $b$ is y-intercept.

1. El problema nos presenta la expresión algebraica $$4v + 2 + 7u$$ y nos pide identificar cuáles enunciados son verdaderos. 2. Primero, recordemos definiciones importantes:

1. **State the problem:** Solve the system of linear equations: $$7x + 5y = -13$$