🧮 algebra

1. The problem is to evaluate the expression $\sqrt{19}$. 2. The square root function $\sqrt{x}$ gives the positive number which, when squared, equals $x$.

1. **State the problem:** Simplify the expression $$11 - \frac{z}{6} - 17$$. 2. **Combine like terms:** The constants 11 and -17 can be combined.

1. **State the problem:** Simplify the expression $$(-8) \times \left(\frac{1}{8} \times x\right) \times (-9)$$. 2. **Recall the rules:** Multiplication is associative and commutat

1. **Stating the problem:** Given the values in the ovals 4, 0, 8 and the value below the first oval 0, the arrow points to a square with the value 3. We want to understand how the

1. **State the problem:** We have a tile pattern starting with 5 tiles in Figure 0 and adding 7 tiles for each new figure. We want to find the equation representing the number of t

1. The problem asks for the domain of the step function $f(x) = \lceil 2x \rceil - 1$. 2. The domain of a function is the set of all possible input values ($x$) for which the funct

1. The problem asks to identify the graph of the function $y = \lfloor x \rfloor - 2$. 2. The floor function $\lfloor x \rfloor$ returns the greatest integer less than or equal to

1. **State the problem:** Simplify the expressions and fill in the blanks with the correct numbers. 2. **Part A:** Simplify $19x + 21 - 4x$.

1. **Problem statement:** Evaluate the expressions for given values of $x$.

1. Énoncé du problème : Déterminer l'ensemble de dérivabilité de la fonction $f : x \mapsto x^5$ puis calculer sa dérivée. 2. Rappel : Une fonction polynomiale est dérivable sur $\

1. **State the problem:** Determine if the two given systems of linear equations are equivalent and explain why graphing is preferred for systems of linear inequalities. 2. **Expla

1. The problem is to find the domain of a graph. 2. The domain of a graph is the set of all possible input values (usually $x$-values) for which the function is defined.

1. **State the problem:** Solve the system of equations: $$x + y = 10$$

1. **State the problem:** We need to sketch the graph of the quadratic function $$y = -x^2 + 4x - 4$$. 2. **Recall the standard form and vertex formula:** A quadratic function can

1. The problem asks how to substitute domain values into a cost function from a previous problem. 2. Generally, a cost function is written as $C(x)$ where $x$ is the domain variabl

1. Let's start by stating the problem: Marcus pays a monthly fee of 20 plus 5 for each premium movie watched, and he wants to spend no more than 50 each month. 2. The cost function

1. **State the problem:** Solve the quadratic equation $x^2 + 2x - 5 = 0$ using the discriminant formula $D = b^2 - 4ac$. 2. **Identify coefficients:** Here, $a = 1$, $b = 2$, and

1. **State the problem:** Solve the quadratic equation $x^2 + 5x - 50 = 0$ using the discriminant formula $D = b^2 - 4ac$. 2. **Identify coefficients:** Here, $a = 1$, $b = 5$, and

1. **State the problem:** Solve the quadratic equation $$3x^2 + 5x + 6 = 0$$ using the discriminant formula. 2. **Recall the quadratic formula and discriminant:** The quadratic for

1. **State the problem:** Solve the quadratic equation $x^2 + 8x + 16 = 0$ using the discriminant formula $D = b^2 - 4ac$. 2. **Identify coefficients:** Here, $a = 1$, $b = 8$, and

1. **State the problem:** Solve the quadratic equation $x^2 + 6x + 4 = 0$ using the discriminant formula. 2. **Recall the quadratic formula and discriminant:** The quadratic formul