🧮 algebra

1. I corresponde a $h(x) = -3x^2$. 2. II corresponde a $f(x) = -x^2$.

1. **Stel het probleem vast:** We hebben twee getallen, noem ze $x$ (eerste getal) en $y$ (tweede getal). We weten dat: - Het eerste getal $x$ is 5 meer dan het dubbel van het twee

1. **State the problem:** We are given four quadratic equations and two graphs with their properties. We need to match each graph to the correct equation and find the axis of symme

1. **State the problem:** Given a downward-opening parabola with vertex approximately at $(-3,4)$, axis of symmetry $x=-3$, and zeros at $(-5,0)$ and $(-1,0)$, identify the axis of

1. The problem is to solve the inequality $$\frac{12q}{x} > 43$$ for $x$. 2. We want to isolate $x$ on one side. Since $x$ is in the denominator, we multiply both sides by $x$, but

1. **State the problem:** Simplify the expression $X9 + 1$. 2. **Identify the expression:** The expression appears to be $X9 + 1$. Assuming $X9$ means $9X$ (9 times $X$), the expre

1. **State the problem:** Solve for $x_{1/2}$ using the quadratic formula given by $$x_{1/2} = \frac{-0.7 \pm \sqrt{0.49 + 0.6}}{0.4}$$

1. **State the problem:** Ojo is 3 years older than Pejee. We need to find Ojo's age. 2. **Define variables:** Let Pejee's age be $p$ years.

1. **State the problem:** Determine if the ordered pairs (-1, 0), (-1, 5), and (0, -3) satisfy the system of inequalities: $$y \leq 3x + 4$$

1. The problem is to determine if given ordered pairs are solutions to the inequality derived from the line equation $y = 2 - \frac{3x}{2}$ and to prove algebraically that $(2,1)$

1. **State the problem:** We want to prove algebraically whether the ordered pair $(2,1)$ is a solution to the inequality $$3x - 2y > 4$$.

1. **State the problem:** We analyze the quadratic function $$f(x) = x^2 + 2x - 3$$ to find its domain, range, vertex, axis of symmetry, intercepts, and key attributes. 2. **Formul

1. **Problem Statement:** We are given two examples involving functions and asked to analyze their domain, range, and whether they are discrete or continuous.

1. **State the problem:** Solve for $x$ in the equation $x + 2 = 5$. 2. **Formula and rules:** To isolate $x$, subtract 2 from both sides of the equation.

1. **State the problem:** The distance a jet travels varies directly with the number of hours it flies. A jet traveled 3420 miles in 6 hours. We need to write an equation to model

1. **Stating the problem:** Find the slope of lines parallel and perpendicular to the x-axis and y-axis.

1. **State the problem:** We have a rectangle where the length is seven less than twice the width. The area is 15 square meters. We need to find the width $x$. 2. **Define variable

1. **State the problem:** Solve the equation $$\frac{x + 3}{8} = -2$$ for $x$. 2. **Formula and rules:** To solve for $x$, we need to isolate $x$ on one side of the equation. Since

1. **State the problem:** Solve the equation $$12 + \frac{x}{5} = 20$$ for $x$. 2. **Isolate the variable term:** Subtract 12 from both sides to isolate the term with $x$.

1. **State the problem:** Simplify the expression $$\frac{2^{n-1}}{3^n}$$. 2. **Recall the properties of exponents:**

1. **State the problem:** Simplify the expression $3x - y + 8 + x + y - 2$. 2. **Combine like terms:** Group the terms with $x$, the terms with $y$, and the constant terms separate