🧮 algebra

1. **State the problem:** We want to find out how much money each person would get if a jackpot of 7.3 billion dollars is divided equally among 320 million people. 2. **Formula use

1. The problem states: The parabola $y = 3(x - 4)(x + 2)$ has $x$-intercepts at $(-4, 0)$ and $(2, 0)$. We need to verify if this is true or false. 2. Recall that $x$-intercepts oc

1. **State the problem:** Simplify the expression $2\frac{a}{b}5 - \sqrt{x}5$. 2. **Rewrite the expression:** The term $2\frac{a}{b}5$ means $2 \times \frac{a}{b} \times 5$.

1. El problema es simplificar la expresión o resolver la ecuación dada sin explicaciones extensas. 2. Usamos las reglas básicas de álgebra: sumar, restar, multiplicar, dividir y si

1. **State the problem:** We are given the quadratic function $y = x^2 + 2x - 3$ and want to analyze it. 2. **Formula and rules:** The general form of a quadratic function is $y =

1. **State the problem:** Solve the equation $2^x = 7 + 2^{2-x}$ for $x$. 2. **Rewrite the equation:** The equation is $2^x = 7 + 2^{2-x}$.

1. **Problem Statement:** Find the volume $V$ when $V = \frac{1}{3}Ah$, $A = 43$, and $h = 6$. 2. **Formula:** The volume of a pyramid or cone is given by

1. **Problem Statement:** We are asked to complete the table of values for the function $$y = 2x^2 - 7x - 3$$ for $$x = -2, -1, 0, 1, 2, 3, 4, 5$$.

1. Stating the problem: Simplify the expression $-3[2 - (5 - 4) + (-6)] + 7 - (-2 \cdot 3)$. 2. Simplify inside the parentheses: Calculate $(5 - 4) = 1$.

1. **State the problem:** We need to find how many 64ths are in $\frac{3}{16}$. This means we want to express $\frac{3}{16}$ as a number of parts each of size $\frac{1}{64}$. 2. **

1. **State the problem:** Emman had $\frac{3}{4}$ of a box of chocolates. He gave $\frac{2}{3}$ of his chocolates to Lizette. Then Lizette gave $\frac{1}{2}$ of her chocolates to A

1. **State the problem:** We have a table of values for $x$ and $y$: | $x$ | 1 | 2 | 3 | 4 | 5 |

1. Problem: Add the fractions $\frac{1}{8} + \frac{7}{4} + \frac{3}{7}$. 2. To add fractions, find a common denominator. The denominators are 8, 4, and 7.

1. The problem is to calculate $50\sqrt{900500}$ using long division format. 2. First, understand that $\sqrt{900500}$ means the square root of 900,500.

1. **State the problem:** Calculate $50\sqrt{900500}$ using the long division method for square roots. 2. **Recall the long division method:** This method finds the square root by

1. The problem is to simplify the expressions involving fractional exponents. 2. Recall the rule for fractional exponents: $$a^{m/n} = \sqrt[n]{a^m} = \left(\sqrt[n]{a}\right)^m$$

1. **State the problem:** We have two lines given by the equations $y = ax + b$ and $y = -bx$. They intersect at the point $(2,8)$. We need to find the value of $a$. 2. **Use the f

1. **State the problem:** We are given two points on line 1: $(-3,5)$ and $(6,8)$. We need to determine which of the given points also lies on this line. 2. **Find the slope of the

1. **Problem:** Solve for $x$ in the equation $\frac{1}{2}(x+6) - 3 = 4$. 2. **Formula and rules:** To solve linear equations, isolate $x$ by performing inverse operations step-by-

1. The problem asks for the equation of a line parallel to the y-axis and 3 units to the right of the y-axis. 2. Lines parallel to the y-axis are vertical lines, and their equation

1. The problem is to evaluate the expression $2^4$. 2. The formula for exponentiation is $a^b = a \times a \times \cdots \times a$ ($b$ times).