🧮 algebra

1. The problem asks which ordered pairs satisfy the equation $y = 2x - 8$ and lie on the line. 2. The formula is $y = 2x - 8$. To check if a point $(x,y)$ lies on the line, substit

1. **State the problem:** Find the equation of the line in slope-intercept form $y = mx + b$ that passes through the point $(-6, 3)$ with slope $m = \frac{5}{3}$.\n\n2. **Recall th

1. **Problem Statement:** Elyza has 12 units of money to spend on popsicles and ice cream sandwiches. The graph shows the trade-off between the number of popsicles (y-axis) and ice

1. **State the problem:** Find the equation of the line in point-slope form passing through points $(-6, 38)$ and $(2, -22)$. 2. **Formula:** The point-slope form of a line is give

1. **State the problem:** Simplify the expression $\sqrt{x}5 + \sqrt{x}8$. 2. **Recall the rule:** When adding terms with the same radical part, you can add their coefficients. Her

1. Muammo: Katta o‘g‘ilning yoshini toping. 2. Belgilaymiz: kichik o‘g‘ilning yoshi $x$.

1. **State the problem:** The cost of transport is 12000 and it is reduced by 10%. The reduced amount is then added to the school fees which is 15000. We need to find the new amoun

1. The problem involves comparing two fractions: $\frac{2}{10}$ and $\frac{n}{30}$. We want to understand their relationship or solve for $n$ if they are equal. 2. The formula to c

1. The problem involves comparing two fractions: $\frac{2}{10}$ and $\frac{n}{30}$. We want to understand their relationship or solve for $n$ if they are equal. 2. The formula to c

1. The problem is to simplify the expression $\frac{2}{10} \times \frac{n}{30}$.\n\n2. The formula for multiplying fractions is $\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{

1. The problem asks about the effect of a reduction in the cost of transport, which is initially 12000. 2. To analyze this, we need to know the amount or percentage by which the co

1. **Solve the equation** $\frac{x}{2} - \frac{x}{4} = 6$. 2. Find a common denominator for the fractions on the left side, which is 4.

1. The problem asks to classify four graphs into three categories: proportional situation, inversely proportional situation, and other situation. 2. A proportional situation is rep

1. **State the problem:** We want to find which of the numbers 4, -0.5, 5, and 1 are included in the set of values of the function $$y = 16^{-x} + 4$$. 2. **Recall the function and

1. Problem 53: Each term of a product is multiplied by 2, and the product increases 1024 times. Find the number of terms. Formula: If the product has $n$ terms, multiplying each by

1. Muammo: Ota, katta o'g'il va kichik o'g'il yoshlarini topish. 2. Belgilaymiz: kichik o'g'ilning yoshi $x$.

1. Masala: Ikki sonning o’rta arifmetigi 7 ga teng va kvadratlarining ayirmasi 14 ga teng. Shu ikki son kvadratlarining yig’indisini toping. Formulalar:

1. **Problem Statement:** Solve the quadratic equation without using the quadratic formula but still using quadratic methods. 2. **General Approach:** Quadratic equations are of th

1. Let's solve a quadratic equation without using the quadratic formula. 2. The general form of a quadratic equation is $ax^2 + bx + c = 0$.

1. **State the problem:** We need to find the ratio of the water bill to the electricity bill based on the given amounts. 2. **Identify the values:** Water bill = 1500, Electricity

1. **State the problem:** Yaritza has a deck measuring 7 feet by 20 feet. She wants to increase each dimension by the same length $x$ so that the new area is triple the original ar