🧮 algebra

1. The problem asks to find the expression for "5 subtract two fifths of y". 2. We start by identifying the parts: "5" is a constant number, and "two fifths of y" means multiplying

1. **State the problem:** We need to find an expression for "one third of x then add 4". 2. **Write the expression:** "One third of x" means $\frac{1}{3}x$.

1. **State the problem:** We need to determine which graph could represent the function $$f(x) = (x + 2)(x - 6)(x^2 + 1)$$ based on the given descriptions. 2. **Analyze the functio

1. **Problem Statement:** We are given a polynomial function $f(x)$ graphed with specific characteristics and asked to identify which statement is NOT true about $f(x)$. 2. **Given

1. The problem is to convert the fraction $\frac{12}{15}$ into a mixed number in the form $a \frac{b}{c}$. 2. First, simplify the fraction $\frac{12}{15}$ by finding the greatest c

1. **State the problem:** Solve the equation $x(x-3)=0$ for $x$. 2. **Formula and rule:** The zero product property states that if a product of two factors is zero, then at least o

1. Stating the problem: Solve the equation $x(x - ) = 0$. 2. Notice that the equation is incomplete as it stands because the expression inside the parentheses is missing a number o

1. The problem states that 36% of students at DRHS get a drive to school, and there are 300 students in total. 2. To find how many students get drives, we use the formula for perce

1. **State the problem:** Simplify the expression $14 + 3 \times 18 - 4$. 2. **Recall the order of operations:** Multiplication comes before addition and subtraction.

1. **State the problem:** We need to find what percentage 15 students represent out of 25 students. 2. **Formula:** The percentage is calculated by the formula:

1. **State the problem:** Simplify the expression $x + 3x - 6$. 2. **Combine like terms:** The terms $x$ and $3x$ are like terms because they both contain the variable $x$.

1. **State the problem:** Find the equation of the line with slope $m=3$ passing through the point $(1,2)$. 2. **Formula:** Use the point-slope form equation:

1. **State the problem:** We are given the system of inequalities: $$3y > 2x + 12$$

1. **State the problem:** Simplify the expression $$\frac{2x^2 - 8}{4x}$$. 2. **Recall the formula and rules:** To simplify a rational expression, factor numerator and denominator

1. **State the problem:** Solve the system of equations: $$\begin{cases} y = x - 4 \\ y = 4x + 2 \end{cases}$$

1. **State the problem:** Simplify the expression $$\frac{1}{5} - \left\{ \frac{2}{5} + \frac{4}{15} \times \frac{1}{2} - \left( \frac{1}{2} + \frac{2}{5} \right) \right\}$$. 2. **

1. **State the problem:** Find the equation of the line passing through the points $(-3,9)$ and $(4,-15)$.\n\n2. **Formula used:** The slope $m$ of a line through points $(x_1,y_1)

1. **State the problem:** We need to solve the expression $$1 + \frac{4}{6} + \frac{4.5}{6.9} + \frac{4.5.6}{6.9.12} + \ldots$$ 2. **Understand the pattern:** The terms appear to b

1. The problem asks to translate the phrase "5 less than twice a number" into an algebraic expression. 2. "Twice a number" means $2n$ where $n$ is the number.

1. **Stating the problem:** Solve the system of equations using the elimination method: $$\begin{cases} 3x + 2y + z = 4 \\ x + 4y + 3z = 6 \\ 2x - y + 6z = 10 \end{cases}$$

1. The problem asks to find the correct algebraic expression for the phrase: "eight added to the product of five and three." 2. The phrase "product of five and three" means multipl