🧮 algebra

1. Problemi: Një nxënës ka 500 lekë dhe blen katër sende: libër, fletore, gazetë dhe laps. 2. Të dhënat:

1. **State the problem:** Solve the system of linear equations for the variables. 2. **General approach:** For a system of linear equations, we can use substitution, elimination, o

1. Muammo: $y=|x-2|+1$ va $y=5$ funksiyalarining grafiklari kesishgan nuqtalar abssisalari kvadratlarining yig'indisini toping. 2. Tenglama: Kesishish nuqtalarida $|x-2|+1=5$ bo'la

1. The problem is to graph the linear equation $y = 3x - 4$. 2. The general form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

1. **Stating the problem:** Convert the equation $5x + 4y = 12$ into the slope-intercept form $y = mx + c$ and find the y-intercept. 2. **Formula and rules:** The slope-intercept f

1. Find the lowest common denominator (LCD) for $\frac{3}{4}$ and $\frac{3}{16}$. 2. Find the LCD for $\frac{9}{16}$ and $\frac{7}{32}$.

1. **State the problem:** We need to evaluate the expression "no half 14 divide divide 91". Interpreting this as \(\frac{14}{\frac{1}{2}} \div 91\).\n\n2. **Rewrite the expression:

1. The problem is to graph the linear equation $y = \frac{1}{2}x + 2$. 2. The general form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

1. The problem asks to simplify the expression $$(a - b)^2 + 4ab$$. 2. Recall the formula for the square of a binomial: $$(a - b)^2 = a^2 - 2ab + b^2$$.

1. **Problem:** Find the lowest common denominator (LCD) of the fractions $\frac{3}{4}$ and $\frac{3}{16}$. 2. **Formula and rules:** The LCD is the least common multiple (LCM) of

1. **State the problem:** We need to graph the linear equation $x = y$. 2. **Understand the equation:** The equation $x = y$ means that for every point on the graph, the $x$-coordi

1. **State the problem:** We need to match each quadratic expression with its correct factored form. 2. **Recall the difference of squares formula:**

1. **State the problem:** Solve for $n$ in the equation $$-\frac{1}{5}n + 7 = 2$$. 2. **Isolate the term with $n$:** Subtract 7 from both sides:

1. **State the problem:** Graph the linear equation $5x - 3y = 15$. 2. **Rewrite the equation in slope-intercept form:** The slope-intercept form is $y = mx + b$, where $m$ is the

1. The problem is to evaluate the expression $8 \sqrt{6}$. 2. Recall that $\sqrt{a}$ means the square root of $a$, which is a number that when squared gives $a$.

1. **State the problem:** Graph the linear equation $$2x + 4y = 8$$. 2. **Rewrite the equation in slope-intercept form:** To graph easily, solve for $$y$$.

1. The problem is to simplify the expression $8 \sqrt{6}$. 2. Recall that the square root function $\sqrt{x}$ gives the positive number whose square is $x$.

1. ปัญหาคือการหา y(t) เมื่อ y(t) = 4t - 3 และ A = 3 2. สูตรที่ใช้คือแทนค่า t ด้วย A ในสมการ y(t) = 4t - 3

1. **State the problem:** Given the equation $kx + 2y + 18 = 0$, where $k$ is a constant, find $x$ when $y=6$ given that $x=3$ when $y=4$. 2. **Write the equation:**

1. **Stating the problem:** We have a rectangle where the length $L$ exceeds the width $W$ by 3 cm, i.e., $L = W + 3$. The area $A$ of the rectangle must not exceed 30 cm$^2$, so $

1. **Problem statement:** A rectangular land has a length equal to twice its width, and its area is 162 cm². Find the length and width. 2. **Formula:** Area of rectangle = length \