🧮 algebra

1. **Problem Statement:** Solve the systems of equations given. ---

1. **State the problem:** We are given the system of equations:

1. **State the problem:** We are given the system of equations:

1. **Problem Statement:** We are given a relationship between the volume of uncooked rice $x$ (in cups) and the volume of cooked rice $y$ (in cups). The equation given is $y = 6x$.

1. **State the problem:** Solve the system of equations for real numbers $x$ and $y$: $$bx - ay = a + 2b$$

1. **State the problem:** A farmer wants to enclose a rectangular plot next to a river using 3000 feet of fencing. Since the river forms one side, fencing is needed for only three

1. **State the problem:** Sam has 120 feet of fencing to build a rectangular pen. We want to find the length and width that maximize the area of the rectangle. 2. **Formula and rul

1. **State the problem:** Find the zeros of the quadratic equation $$10x^2 - 14x - 12 = 0$$ using the zero product property. 2. **Recall the zero product property:** If $$ab = 0$$,

1. **State the problem:** We need to find the zeros of the quadratic equation $$6x^2 - 7x - 20 = 0$$ using the zero product property. 2. **Recall the zero product property:** If $$

1. Problem: Løs likningssett med innsettingsmetoden og addisjonsmetoden. 2. Innsettingsmetoden - likninger:

1. **State the problem:** Simplify the expression $$\frac{-4x^3 (2x + 2) - 2x^2 (4x + 4)}{2x^2}$$. 2. **Expand the numerator:**

1. **State the problem:** We need to estimate the average rate of growth of the African population between the years $1950$ and $2000$ using the graph data. 2. **Identify the data

1. **State the problem:** Solve the equation $$ (x - 3)^{\frac{4}{3}} = 625 $$ for $x$. 2. **Recall the formula and rules:** To solve an equation with a fractional exponent, we can

1. **State the problem:** We are given the sums of the first 4, 5, and 6 terms of a geometric series: $S_4 = 15$, $S_5 = -33$, and $S_6 = 63$. We need to find the common ratio $r$.

1. **State the problem:** Solve the equation $$4|2x+6|-8=20$$ for $$x$$. 2. **Isolate the absolute value:** Add $$8$$ to both sides:

1. **State the problem:** We need to divide $5$ by $415$, which means calculating the value of the fraction $$\frac{5}{415}$$. 2. **Formula used:** Division of two numbers $a$ and

1. **State the problem:** Solve the equation $$72 - w = 184$$ for the variable $w$. 2. **Isolate the variable $w$:** To solve for $w$, we want to get $w$ alone on one side of the e

1. **State the problem:** We need to solve the proportion $$\frac{11}{13} = \frac{v}{7}$$ for the variable $v$ and then round the answer to the nearest tenth. 2. **Recall the rule

1. Het probleem is: Wat is de vierkantswortel van 50? 2. De vierkantswortel van een getal $x$ is een getal $y$ zodat $y^2 = x$.

1. **Problem 1:** Simplify the expression $-4(2x + 3y) - 18q - 42p$ and find which option is equivalent. 2. Use the distributive property: $a(b + c) = ab + ac$.

1. **Stating the problem:** You want to learn how to solve a system of equations with 3 variables. 2. **General form:** A system of 3 variables usually looks like: