🧮 algebra

1. **State the problem:** We need to compare the transaction fees for cash withdrawals at Freedom Bank and Choice Bank. 2. **Given:**

1. **Planteamiento del problema:** Se nos da una tabla con alturas de postes (x) y longitudes de sus sombras (y). Debemos identificar la gráfica que corresponde a esta relación, en

1. State the problem: Find two possible degree 4 polynomials with negative leading coefficient, exactly 3 real zeros, one zero of order 2, and positive between two zeros. 2. Given

1. **State the problem:** We need to identify which lists contain only irrational numbers. 2. **Recall definitions:**

1. **State the problem:** Evaluate the expression $$\frac{1}{2} - \frac{1}{5} \div \frac{2}{3}$$ and write the answer as a fraction. 2. **Recall the division rule for fractions:**

1. **State the problem:** Evaluate the expression $$\frac{2}{5} + \frac{3}{5} \times \frac{3}{4}$$ and write the answer as a fraction. 2. **Recall the order of operations:** Multip

1. **State the problem:** Solve the linear equation $16 - 2t = 5t + 9$ for $t$. 2. **Write the formula and rules:** To solve for $t$, we need to isolate $t$ on one side of the equa

1. **State the problem:** Solve the equation $16 - 2t = 5t + 9$ for $t$. 2. **Write down the formula and rules:** To solve for $t$, we need to isolate $t$ on one side of the equati

1. **State the problem:** Find 22% of 180. 2. **Formula:** To find a percentage of a number, use the formula:

1. **State the problem:** Solve for $c$ in the equation $Bc - 3c = 15$. 2. **Identify the formula and rules:** We can factor out $c$ from the left side since it is common in both t

1. **State the problem:** Solve for $w$ in the equation $13w - 10w = 6$. 2. **Combine like terms:** Since both terms on the left side contain $w$, subtract the coefficients:

1. **State the problem:** Solve for $r$ in the equation $$4r - 3r = 20$$. 2. **Combine like terms:** Since both terms on the left side contain $r$, subtract the coefficients:

1. **State the problem:** Solve for $v$ in the equation $2v - v = 11$. 2. **Use the formula and rules:** Combine like terms on the left side. When subtracting or adding terms with

1. **State the problem:** Solve for $B$ in the equation $$R=100-\frac{100}{\left(\frac{\frac{E(L-1)+(B-A)}{L}}{\frac{F(L-1)}{L}}+1\right)}.$$ 2. **Rewrite the equation:** Start by

1. **Stating the problem:** We need to evaluate or simplify the expression $1,47 = 0,138(0+1)$. 2. **Understanding the expression:** The expression uses commas as decimal separator

1. **State the problem:** We need to factor the polynomial $$36x^2y^4 + 12x^3y^2 + 12x^4y^3$$ and match it with the given factors $$-4xy$$ and $$12x^2y^2$$. 2. **Identify the great

1. **State the problem:** We want to find how to get the numbers 7, 21, 55, 56, and 64 from the number 147. 2. **Analyze the problem:** One common approach is to check if these num

1. **State the problem:** Solve for $x$ in the equation $$\frac{1}{40} + \frac{1}{16} = \frac{1}{60} + \frac{1}{x}.$$\n\n2. **Write the formula and rules:** To solve for $x$, first

1. **State the problem:** Simplify the expression $$(2b - 3a)^3 + 8(2a - b)(a - b) - 5a(a - b)^2.$$\n\n2. **Recall formulas and rules:**\n- Cube of a binomial: $(x - y)^3 = x^3 - 3

1. **State the problem:** Determine how many solutions the system of equations has: $$y = -5x + 8$$

1. **State the problem:** We need to find how many solutions the system of equations has: $$y = 9x - 9$$