🧮 algebra

1. **State the problem:** Vicky lost P17 on each of 5 Megahtron shares, lost P86 on one Optimus-Primeholdings share, and made a profit on one Bubblebiz share. Overall, she made a p

1. **State the problem:** Find the sum of the fractions $\frac{1}{5}$, $\frac{2}{3}$, $\frac{3}{5}$, and $\frac{1}{3}$.\n\n2. **Formula and rules:** To add fractions, they must hav

1. **State the problem:** Solve the system of equations by elimination: $$21x + 15y = 3$$

1. **State the problem:** Add the expressions $6a^2 + 9$ and $a + 2$. 2. **Write the expressions:**

1. Énoncé du problème : Résoudre graphiquement l'inéquation $f(x) > g(x)$ avec $f(x) = -x^2 + 4x$ et $g(x) = 2x - 2$. 2. Formule et règles importantes : Pour résoudre $f(x) > g(x)$

1. **State the problem:** A town has an initial population of 16000 and grows at a rate of 4.5% per year. We want to find the population after 8 years.

1. **State the problem:** We have a car purchased for 20700 dollars, which depreciates at 8% per year. We want to find how many years it will take for the car's value to decrease t

1. The problem is to simplify the expression or equation in a way that looks like how you would write it on paper. 2. When simplifying, we combine like terms, factor where possible

1. **State the problem:** We need to find the equation of a cubic function $y = ax^3 + bx^2 + cx + d$ that passes through the points $(2.5, 0)$, $(3.5, 2)$, and $(-3, -1)$. Since a

1. **State the problem:** Evaluate the expression $$(-3)^3 - 2 + \frac{8}{-8}$$. 2. **Recall the order of operations (PEMDAS):**

1. **Problem 3:** Find the cubic function passing through points $(-1,3)$, $(0,2)$, and $(1,1)$. 2. A cubic function has the form $$f(x) = ax^3 + bx^2 + cx + d.$$

1. **State the problem:** We are given the linear equation $y = 2x - 5$ and want to understand its graph and key features. 2. **Formula and rules:** The equation is in slope-interc

1. **State the problem:** Evaluate the expression $10 \times 3 + 8 \div 4 + (6 - 2)^2$ using the order of operations. 2. **Recall the order of operations:** Parentheses, Exponents,

1. **State the problem:** We are given the quadratic function $$p(x) = x^2 + 8x + 12$$ and the solutions for $$x$$ as $$x = -4 \pm 2$$. 2. **Recall the quadratic formula and factor

1. The problem is to express 1080 as a product of its prime factors using the prime factor tree method. 2. Prime factorization means breaking down a number into the product of prim

1. **State the problem:** Solve the equation $2^{x+2} - 2^{x+5} = -7$ for $x$. 2. **Recall the properties of exponents:**

1. **State the problem:** We need to solve the system of inequalities graphically: $$y < -\frac{1}{3}x - 3$$

1. The problem is to express 1080 as a product of its prime factors using the prime factor tree method. 2. Prime factorization means breaking down a number into the product of prim

1. **State the problem:** Solve the system of equations: $$-9x - 4y = 20$$

1. **State the problem:** Solve the system of linear equations: $$-9x - 4y = 20$$

1. The problem asks to find the sum of the values $X - 1$ where $X$ takes the values 5, 10, and 15. 2. First, calculate each term $X - 1$: