🧮 algebra

1. **State the problem:** Multiply the binomials $(-8a + 9)$ and $(3a + 12)$. 2. **Formula used:** Use the distributive property (FOIL method) for binomials:

1. **State the problem:** We have two numbers on a number line between 7 and 9 with missing digits: $\_ . 7 \_$ and $\_ . \_ 0$. We must fill in the blanks using the digits 3, 5, 7

1. The problem asks to divide an expression into parts a, b, and c. 2. Since the user did not provide a specific expression or problem, I cannot perform any division or separation.

1. **State the problem:** We have a quadratic function $f(x) = ax^2 + bx + c$ representing the height of a ball at distance $x$. Given points $(3, 2.36)$, $(10, 5)$, and $(17, 7.16

1. The problem: Solve the ratio problem where the ratio of two numbers is 3:5 and their sum is 64. Find the two numbers. 2. Formula and rules: If two numbers are in the ratio $a:b$

1. **State the problem:** We want to find the dimensions of a rectangular field enclosed by 500 meters of fencing, where one side is a building (so no fence needed on that side), t

1. **Problem statement:** Find the value of the expression $3^2$. 2. **Formula and rules:** The expression $3^2$ means $3$ raised to the power of $2$, which is the same as multiply

1. **State the problem:** We have a 30-sided polygon with sides of three different lengths: 3 cm, 8 cm, and 4 cm. 2. The number of sides with length 8 cm is 5 times the number of s

1. **State the problem:** We have the function $f(x) = a^x + b$ with constants $a$ and $b$. The graph has an x-intercept at $(2,0)$ and a y-intercept at $(0,-323)$. We need to find

1. **State the problem:** We are given the ages of three children: Ahmed is $n$ years old, Maria is twice as old as Ahmed, and Gia is 3 years older than Maria. The combined age of

1. **State the problem:** We need to find the value of $xy$ where $x=0.4$ and $y=0.954$. 2. **Convert decimals to fractions:**

1. **Problem statement:** Given the curve with equation $$y = x + \frac{1}{x}$$, we need to find: a. The equations of the asymptotes.

1. **State the problem:** We are given that $T$ is inversely proportional to $w$, and $w$ is directly proportional to the cube root of $d$. We have values for $w$, $T$, and $d$ at

1. The problem states: "There is no square root." This means we are dealing with expressions or equations that do not involve the square root operation. 2. When solving algebraic p

1. **State the problem:** Find 0.03% of 0.03 of 1000. 2. **Convert percentages and decimals:** 0.03% means $\frac{0.03}{100} = 0.0003$.

1. **Stating the problem:** We need to translate the phrase "A number times itself then 4 is added to it, then subtract four times itself" into an algebraic expression and identify

1. **State the problem:** Solve the equation $$ (2x - 1)(x - 1) + (4x + 3)(x - 4) = (3x - 5)(2x - 5) $$. 2. **Expand each product:**

1. **Stating the problem:** We have two consecutive even positive numbers, and $L$ is their average. We want to compare $A=2$ with $B$, where $B$ is the remainder when $L$ is divid

1. **State the problem:** Solve the system of equations: $$x + y = 5$$

1. The problem is to simplify the expression by removing texts and showing the solution. 2. Since no specific expression is given, we assume the task is to simplify or solve a give

1. The problem is to multiply the two hexadecimal numbers $\text{ab1b6}$ and $\text{eb6b5b4}$ and then convert the result to decimal. 2. First, convert each hexadecimal number to d