🧮 algebra

1. **Problem:** draw a fraction pizza image. 2. Since you asked to draw it, I will make a simple pizza-style fraction diagram.

1. Let's solve a fraction problem: Simplify the expression $$\frac{3}{4} + \frac{5}{6}$$. 2. To add fractions, we need a common denominator. The denominators here are 4 and 6.

1. **State the problem:** We need to calculate the sum and difference of the fractions $\frac{4}{5} + \frac{3}{20} - \frac{1}{10}$ and simplify the result. 2. **Find a common denom

1. **State the problem:** Calculate $\frac{6}{8} - \frac{3}{5}$ and simplify the result. 2. **Find a common denominator:** The denominators are 8 and 5. The least common denominato

1. **State the problem:** Diana initially has 12 birds, 8 of which are green. She buys 9 more green birds. We need to find the fraction of green birds out of the total birds now. 2

1. **State the problem:** We need to compare the fractions $\frac{2}{3}$ and $\frac{4}{7}$ to determine which is larger. 2. **Compare the fractions:** To compare fractions, we find

1. **State the problem:** Solve the equation $f(x) = 5$ where $f(x) = |3x - 4|$. 2. **Recall the definition of absolute value:** For any real number $a$, $|a| = b$ means $a = b$ or

1. **State the problem:** Solve the simultaneous equations: $$-x + 3y = 7$$

1. **State the problem:** Solve the quadratic equation $$ax^2 + bx + c = 0$$ for $$x$$. 2. **Rewrite the equation by dividing all terms by $$a$$ (assuming $$a \neq 0$$):

1. **State the problem:** We want to simplify the expression $1 - a$. 2. **Understand the expression:** This is a simple algebraic expression where 1 is a constant and $a$ is a var

1. The problem states that a number $k$ rounded to the nearest integer is 38. 2. When rounding to the nearest integer, the number $k$ must lie within the interval where any value r

1. **State the problem:** We need to find the price per cup of laundry detergent given that a 2-pint container costs 3.08. 2. **Recall the conversion:** 1 pint = 2 cups. Therefore,

1. **State the problem:** Simplify the expression $$6 \div 2(1+2)$$. 2. **Apply the order of operations (PEMDAS/BODMAS):**

1. The problem is to solve the equation given in the 3rd photo (since the photo is not provided, I will assume a typical algebraic problem for demonstration). 2. Suppose the equati

1. **State the problem:** We need to find the population of a town after 5 years, given an initial population of 12,000 and an annual growth rate of 5%. 2. **Formula used:** The po

1. **Problem:** Calculate $$(4.2 \times 10^4) \times (2 \times 10^3)$$ and write the answer in standard form. 2. **Formula:** When multiplying numbers in scientific notation, multi

1. El problema es encontrar un par ordenado $(x,y)$ que satisfaga la ecuación $5x + y = 2$. 2. La fórmula dada es una ecuación lineal en dos variables. Para encontrar una solución,

1. **State the problem:** Find the domain of the rational expression $$\frac{4-x}{3x+21}$$. 2. **Recall the domain rule for rational expressions:** The denominator cannot be zero b

1. **State the problem:** We are given the equation for the area of a rectangular garden as $$x(x - 4) = 140$$ where $x$ is the length in feet, and the width is 4 feet less than th

1. **State the problem:** Simplify the expression $$[-4+9(-4)]:(-3+11)-7\cdot(5-14)$$. 2. **Recall the order of operations:** Parentheses first, then multiplication and division fr

1. **State the problem:** Calculate the value of the expression $-37 + 30 + 13$. 2. **Use the formula:** Addition and subtraction of integers follow the rule of combining positive