🧮 algebra

1. **State the problem:** We are given the function $$f(x) = \frac{3x - 32}{x + 6}$$ and the value $$f(-1) = -6$$. 2. **Substitute the given value into the function:** To verify or

1. The problem is to graph the function $y = x^2$. 2. The formula used is $y = x^2$, which is a quadratic function representing a parabola.

1. **Problem statement:** Given the table of values for $x$ and $y$, find:

1. **Stating the problem:** We have a graduated cylinder with water. When 8 marbles are dropped in, the water level is 10 milliliters. When 11 marbles are dropped in, the water lev

1. **State the problem:** Solve the system of equations by substitution: $$y = 2x - 3$$

1. **State the problem:** Find the slope-intercept form of the line passing through the points $(-2,0)$ and $(0,2)$.\n\n2. **Formula used:** The slope-intercept form is $y = mx + b

1. The problem involves simplifying expressions with cube roots and square roots, such as $$\sqrt[3]{6^{13}} \sqrt{6}$$ and $$\sqrt[3]{6x^2} \cdot \sqrt[3]{25y^3}$$. 2. Recall the

1. The problem asks for the equation of the line shown in the graph. 2. The graph passes through points (-5, -5) and (5, 5).

1. **State the problem:** We have a line modeling a recipe for chicken pie with the equation $y = 6x + 14$, where $x$ is the number of people and $y$ is the ounces of chicken.

1. **State the problem:** We need to write an equation for the line modeling the recipe for chicken pie.

1. **State the problem:** Simplify the expression $\frac{3v^4}{4v}$.\n\n2. **Recall the rule for dividing powers with the same base:** When dividing terms with the same base, subtr

1. We beginnen met het probleem: de vergelijking is $l - b - x - 2 \cdot 25 = x - 50$. 2. Het doel is om te begrijpen waarom de keuzes van de getallen in de vergelijking zijn ingev

1. We start with the equation: $$l - b - x - 2 \cdot 25 = x - 50$$

1. **Stel het probleem vast:** We zoeken de zijde $x$ van een vierkant kartonstuk, waarbij de lengte $l$ en breedte $b$ van de doos worden gegeven door $l - b - x - 2 \cdot 25 = x

1. **State the problem:** We are given that one number is 4 more than another number. Let the smaller number be $x$ and the larger number be $y$. We know:

1. **State the problem:** We need to determine which of the given tables represents a nonlinear function. 2. **Recall the definition:** A function is linear if the rate of change (

1. **State the problem:** Simplify the expression $$\left(\frac{(2^4)^2}{(2^4)^3 \cdot 2^3}\right)^2$$. 2. **Recall the exponent rules:**

1. **State the problem:** We need to evaluate the expressions $2(4x+3)$ and $12x-2$ when $x=3$ to check if they are equal. 2. **Evaluate the first expression:**

1. **State the problem:** Simplify the expression $30 \times 5 \div 15 \times 3 + 48 \div 6$. 2. **Recall the order of operations:** Multiplication and division are performed from

1. The problem is to find the product of the two numbers $-5$ and $-8$. 2. The formula for multiplication is simply multiplying the two numbers: $$a \times b$$

1. The problem is to evaluate the product of two numbers: $(-4)$ and $3$. 2. The formula for multiplication is simply $a \times b$, where $a$ and $b$ are any two numbers.