🧮 algebra

1. **State the problem:** Solve the system of linear equations: $$-4x + 5y = 1$$

1. The problem asks to translate the expression 5-0/2 into an algebraic expression. 2. According to the order of operations (PEMDAS/BODMAS), division is performed before subtractio

1. **State the problem:** The florist assembles small and large flower arrangements. We want to find the time it takes to assemble each type.

1. **State the problem:** Solve the system of linear equations: $$-7x + 5y = -17$$

1. **State the problem:** A coffee shop sold packages of coffee and tea on two different days. We want to find the cost per package of coffee and tea.

1. **State the problem:** Solve the system of linear equations: $$-9x + 4y = -2$$

1. **State the problem:** We need to find the price of each regular pizza ($r$) and each deluxe pizza ($d$) given two orders. 2. **Set up the system of equations:**

1. **State the problem:** Dean processed two catering orders. The first order: 6 trays of club sandwiches and 4 trays of vegetarian sandwiches cost 56.

1. **State the problem:** Mr. Roth buys hardcover and paperback books at special prices. For the children's section, he buys 17 hardcover and 21 paperback books costing a total of

1. **State the problem:** We need to find the price of a wallet and a belt given sales data for two months. 2. **Define variables:** Let $w$ be the price of one wallet and $b$ be t

1. The problem is to perform division as requested. 2. Division in algebra means splitting a quantity into equal parts or determining how many times one number fits into another.

1. The problem is to find the value of 3 divided by \(\frac{1}{5}\). 2. The formula for dividing by a fraction is to multiply by its reciprocal. That is, \(a \div \frac{b}{c} = a \

1. Planteamos el problema: Encontrar la ecuación de la recta que pasa por los puntos $ (1,2) $ y $ (3,6) $. 2. Usamos la fórmula de la pendiente $ m $ de una recta que pasa por dos

1. **State the problem:** Simplify the expression $$(3x - 2)(5x - 2)$$. 2. **Use the distributive property (FOIL method) to expand:**

1. **State the problem:** We need to find the per-mile charge of Juan's taxicab company and compare it to Camila's per-mile charge, which is $2.30 per mile.

1. **State the problem:** We are given a linear pricing model for Juan's Taxicab Company with two points: (0, 4) and (10, 18). We need to find the equation of the line representing

1. **State the problem:** Find the values of $x$ on the real number line that satisfy the inequality $-x + 2 > 5$ and/or $5 \leq x + 4$. 2. **Solve the first inequality:**

1. **State the problem:** We need to find how much Camila's company charges per mile more than Juan's company, given Juan's charges are represented by a line passing through points

1. The problem asks to find the unit rate from the graph showing Janice's total savings over weeks. 2. The unit rate is the amount saved per one week, which can be found by looking

1. **Problem:** Solve the equation $3x + 11 = 5x + 8$ for $x$. 2. **Formula and rules:** To solve for $x$, we use the properties of equality: we can add, subtract, multiply, or div

1. **State the problem:** We are given a table showing the relationship between miles traveled $x$ and gallons of gas used $y$. We need to find the equation that best represents th