🧮 algebra

1. **State the problem:** We need to compare the hourly earning rates of Chris and Sam based on the given information. 2. **Chris's earnings:** The equation is $y = 8.25x$, where $

1. **State the problem:** Jacob bought a total of 12 bottles of soda and juice. Each soda bottle has 25 grams of sugar, each juice bottle has 10 grams of sugar, and the total sugar

1. **Problem Statement:** Part A: Calculate the total bill including an 8% meals tax on a food and beverage cost of 25.30.

1. **State the problem:** Riley bought bags of popcorn and drinks totaling 51 dollars. Each bag of popcorn costs 5 dollars, each drink costs 6 dollars, and she bought twice as many

1. **Problem statement:** Write an expression for the statement 'the sum of x and y divided by 2'. 2. **Understanding the problem:** The phrase "the sum of x and y divided by 2" ca

1. Stating the problem: Solve the inequality $$2 + 2x \geq 3x - 12$$ for $x$. 2. Write down the inequality:

1. **State the problem:** Simplify the expression using BEDMAS (Brackets, Exponents, Division and Multiplication, Addition and Subtraction): $$\frac{3}{4} - \frac{2}{7} + \frac{12}

1. **State the problem:** Simplify the expression $$\frac{2x^2 - 8}{4x}$$. 2. **Recall the formula and rules:** To simplify a rational expression, factor the numerator and denomina

1. La oss løse et enkelt algebraisk problem: Finn løsningen for ligningen $$2x + 3 = 7$$. 2. Start med å isolere variabelen $x$. Vi gjør dette ved å trekke 3 fra begge sider av lig

1. The problem involves analyzing a graph with points (-3,0), (0,2), (3,-1), and (5,4). 2. You stated the domain as \{-3, 0, 3, 5\}, but the domain should include all x-values wher

1. **Problem:** Find the equation of the line passing through points (-3, -4) and (1, 4) in the form $y = mx + c$. 2. **Formula:** The slope $m$ of a line through points $(x_1, y_1

1. **Problem Statement:** Label each graph with the correct equation from the given list: - $y = 2x$

1. **Problem statement:** (a) Verify that the cubic function $f(x)$ with roots at $x=-3$, $x=-1$, and $x=2$, and passing through $(0,-6)$ can be written as $f(x) = x^3 + 2x^2 - 5x

1. Problema: Desarrollar la expresión $ (x + 6y)^2 $. 2. Fórmula usada: Para cualquier binomio $ (a + b)^2 = a^2 + 2ab + b^2 $.

1. The problem states that $b \times 10^n$ is the number 7200 written in standard form. 2. First, write 7200 in standard form: $7200 = 7.2 \times 10^3$.

1. **State the problem:** We have two functions $f(x) = 4^x$ and $g(x) = 4^{\frac{1}{2}x}$ with a table of values for $x$ from $-2$ to $2$. Some values of $g(x)$ are missing and la

1. The problem is to find the x-intercept and y-intercept of a function or equation. 2. The x-intercept is the point where the graph crosses the x-axis, so the y-value is 0. To fin

1. **Problem Statement:** Find the x-intercept and y-intercept of the line passing through points (-3,0) and (0,3). 2. **Formula and Rules:**

1. **State the problem:** Find the domain and analyze the rational function $$y = \frac{x^3 - x^2}{x^2 - 5x + 6}$$. 2. **Factor numerator and denominator:**

1. **State the problem:** Simplify the expression $$\frac{2x^2 - 8}{4x}$$. 2. **Recall the formula and rules:** To simplify a rational expression, factor the numerator and denomina

1. **State the problem:** We need to find 5 positive whole numbers in ascending order such that: - The median is 9