🧮 algebra

1. **State the problem:** We need to find the intercepts of the line given by the equation $$3x + 5y = -15$$ to help graph it. 2. **Recall the intercepts:**

1. **State the problem:** We are given the inequality $4x - 3y \leq 3$ and asked to check if the point $(2,1)$ satisfies this inequality. 2. **Substitute the values:** Substitute $

1. **State the problem:** We need to find the intercepts of the line given by the equation $$-4x + 2y = 16$$ to help graph it. 2. **Recall the intercepts:**

1. **State the problem:** We have a ratio table with two columns and five rows. Some values are missing, represented by squares (□). We need to find these missing values to complet

1. **State the problem:** We are given two sets of measurements for Blue Ribbon and Red Ribbon lengths in inches: Blue Ribbon: 0.25, 1.25 and Red Ribbon: 6, 15. 2. **Identify the r

1. The problem is to complete the ratio table where the first column has some missing values and the second column is given as 1, 2, 4, 5, 8. 2. The given pairs are (12,1) and (24,

1. **State the problem:** We have a ratio table with two columns. The left column is 5, 25, 50, 75, 80 and the right column has 6, blank, blank, 90, blank. We need to complete the

1. **State the problem:** We have a ratio table with two columns. The first column is 6, 36, 54, 60, 84 and the second column is 5, 30, ?, ?, 70. We need to find the missing values

1. The problem is to complete the missing value in the ratio table where the first column has values 2, 6, □, (empty), 18 and the second column has values 9, 27, 63, 72, 81. 2. We

1. **State the problem:** Solve the quadratic equation $$x^2 - 3x + 2 = 0$$. 2. **Recall the factoring method:** To solve quadratic equations by factoring, we express the quadratic

1. **State the problem:** Complete the missing values in the ratio table where the pairs of numbers are proportional. 2. **Understand the ratio:** Each pair of numbers forms a rati

1. Problema: Factorizar los siguientes polinomios. 2. a) $2x^2 - 18$

1. **State the problem:** We have a ratio table with two columns. The first column is 12, 24, 48, 72, 84 and the second column is 11, ?, 44, 66, ?. We need to find the missing valu

1. **State the problem:** Piper wants to rent a car for $d$ days, driving 350 miles, with a budget of at most 140. 2. **Write the inequality:** The total cost is the daily charge p

1. The problem is to convert 5.25% to a decimal and then find its value to the nearest cent. 2. Recall that to convert a percentage to a decimal, divide by 100: $$\text{Decimal} =

1. **State the problem:** Solve the equation $$4x - 20 = x + 5$$ for $x$.

1. **Problem:** Complete the ratio tables for Water Tank and Swimming Pool, then analyze the ratios. 2. **Water Tank Table:** Given time (min) and liters leaked:

1. The problem asks for the y-intercept of the given parabola. 2. The y-intercept is the point where the graph crosses the y-axis. This happens when $x=0$.

1. Problema: Calcular las siguientes identidades notables. 2. Fórmulas importantes:

1. The problem asks for the y-intercept of a parabola. 2. The y-intercept of a graph is the point where the graph crosses the y-axis. This occurs when $x=0$.

1. **State the problem:** We have two ratio tables showing the relationship between time (in minutes) and liters leaked for a Water Tank and a Swimming Pool. We need to complete th