🧮 algebra

1. **State the problem:** Solve the equation $x^2 - 49 = 0$ for $x$. 2. **Recall the formula:** This is a difference of squares equation, which can be factored using the identity $

1. The problem is to find the rationalizing factor for an expression involving a radical. 2. The rationalizing factor is used to eliminate the square root or radical from the denom

1. The problem is to find the cube root of 49, written as $\sqrt[3]{49}$. 2. The cube root of a number $x$ is a value $y$ such that $y^3 = x$.

1. The problem asks to find the domain of a function, but the function is not specified in the question. 2. The domain of a function is the set of all possible input values (usuall

1. The problem asks whether the graph of the equation $y^2 = 8x$ represents a function. 2. Recall the definition of a function: for every input $x$, there must be exactly one outpu

1. **Problem 4:** Given a quadratic function graph with vertex, zeros, minimum value, and axis of symmetry to find. 2. The vertex of a quadratic function in standard form $y = ax^2

1. **State the problem:** Find the solutions to the system of equations where a parabola and a line intersect. 2. **Given equations:** Assume the parabola is $y = -a(x - 4)^2 + b$

1. **State the problem:** We want to graph the linear equation $y = 2x + 5$. 2. **Understand the formula:** This is a linear equation in slope-intercept form $y = mx + b$, where $m

1. **Énoncé du problème :** Nous avons une fonction logarithmique $N(t) = \log_c b(t+2)$ qui donne le nombre de personnes guéries en fonction du temps $t$ (en années) depuis l'admi

1. **State the problem:** We need to find the solutions to the system of equations represented by the two curves: a concave down parabola and a straight line with negative slope. 2

1. Let's state the problem: You have a quadratic function with a variable $k$ in the constant term, and you want to find the value of $k$. 2. The general form of a quadratic functi

1. **Énoncé du problème :** Des élèves veulent louer une limousine pour 600. Le coût par élève dépend du nombre d'élèves (de 1 à 8) partageant ce coût.

1. Énoncé du problème : Hélène et David ont chacun une voiture avec un odomètre indiquant respectivement 25000 km et 20000 km au début de l'année.

1. **State the problem:** We are given a table of values for a function $k(r)$ at points $r = 1, 3, 5, 7, 9$ and need to determine if the function is linear, quadratic, or neither.

1. **State the problem:** Ashley is installing two granite countertops. One is 3 feet long and 2 feet wide, and the other is 4 feet long and 2 feet wide. The granite costs 10 per s

1. The problem asks us to use the associative property to find factors of 60. 2. The associative property states that when multiplying three or more numbers, the way in which the n

1. Énonçons le problème : Résoudre l'équation $4 \times \frac{y}{5} + 2y = 182$ pour trouver la valeur de $y$. 2. La formule utilisée ici est la résolution d'équations linéaires. O

1. **State the problem:** Determine if the graphed relation defines a function and find its domain and range. 2. **Recall the definition of a function:** A relation is a function i

1. The problem involves solving percent equations using the formula: $$\text{Part} = \text{Percent (as decimal)} \times \text{Whole}$$. 2. To find the part when given a percent and

1. Problem: Solve for the missing value in each case from 10 to 24. 2. Formula: To find a percentage of a number, use the formula $$\text{Percentage value} = \frac{x}{100} \times \

1. **State the problem:** We are given the linear function $y = 3x + 3$ and a table of values for $x$ and $y$. We want to understand the relationship and verify the values. 2. **Fo