🧮 algebra

1. **State the problem:** A farmer has two types of fertilizer packages: old and new. Old packages contain 60 pounds of long-term-growth supplement and 50 pounds of weed killer. Ne

1. **State the problem:** Evaluate the expression $$6 \times (3^3 - 3 \times 6) \div (7^2 - 40)$$ and verify if the answer is 48. 2. **Recall the order of operations:** Parentheses

1. **State the problem:** Simplify the expression $-(7^2 - 40)$. 2. **Recall the order of operations:** Calculate the exponent first, then the subtraction inside the parentheses, a

1. **State the problem:** Solve the inequality $$-\frac{1}{3} + v \leq \frac{3}{5}$$ for the variable $v$. 2. **Recall the additive property of inequality:** You can add the same n

1. **State the problem:** Solve the inequality $$-\frac{1}{3} + v \leq \frac{3}{5}$$ for the variable $v$. 2. **Recall the additive property of inequality:** You can add the same n

1. **Problem:** Two supplementary angles are in a ratio of 5:3. Find the measure of the larger angle. 2. **Formula and rules:** Supplementary angles add up to 180 degrees. If the a

1. **State the problem:** Solve the two-step equation $$4z + 1 = 41$$ for the variable $z$. 2. **Formula and rules:** To solve two-step equations, we first undo addition or subtrac

1. **Problema:** José tem um rolo de arame que, ao ser dividido em pedaços de 2 metros, resulta em 12 pedaços. Queremos determinar o comprimento total do rolo. 2. **Fórmula usada:*

1. **Problem:** Two supplementary angles are in a ratio of 5:3. Find the measure of the larger angle. 2. **Formula:** Supplementary angles add up to 180 degrees, so if the angles a

1. **State the problem:** Solve the two-step equation $$51 = 45 + \frac{z}{11}$$ for $z$. 2. **Isolate the variable term:** Subtract 45 from both sides to get the term with $z$ alo

1. **State the problem:** Simplify the expression $$5(0.1x - 0.2) + 10x$$. 2. **Recall the distributive property:** $$a(b + c) = ab + ac$$. This means we multiply each term inside

1. **State the problem:** Simplify the expression $$-0.3(-2d - 5f) + 4f - 0.3(-f + 7d)$$. 2. **Recall the distributive property:** $$a(b + c) = ab + ac$$. This means we multiply ea

1. **State the problem:** Simplify the expression $$-7(0.4t + 9t + 0.3) - 0.8t$$. 2. **Use the distributive property:** Multiply $$-7$$ by each term inside the parentheses.

1. **State the problem:** Solve the inequality $$-\frac{3}{8} < u - 2$$ for $$u$$. 2. **Recall the additive property of inequality:** You can add the same number to both sides of a

1. **State the problem:** Simplify the expression $$0.7(-6x + 7x + 6) - 0.7x$$. 2. **Apply the distributive property:** Multiply 0.7 by each term inside the parentheses.

1. **Enunciado do problema:** Resolver a inequação $$\frac{1}{3}(x - 6) \geq -\frac{5x - 2}{4} + 2$$ e apresentar o conjunto-solução em forma de intervalo. 2. **Passo 1: Eliminar o

1. **State the problem:** Simplify the expression $$6(-0.3b - 5b + 3) - 4b$$. 2. **Use the distributive property:** Multiply 6 by each term inside the parentheses.

1. **State the problem:** Solve the inequality $$y + \frac{7}{8} > \frac{3}{4}$$. 2. **Formula and rules:** To isolate $y$, subtract $\frac{7}{8}$ from both sides of the inequality

1. **State the problem:** Solve the inequality $$w + \frac{1}{2} \geq -\frac{2}{5}$$ for $$w$$. 2. **Formula and rule:** To isolate $$w$$, use the additive property of inequality w

1. **State the problem:** Solve the inequality $$6x \geq 3 + 4(2x - 1)$$ and identify the correct representations. 2. **Expand the right side:**

1. **State the problem:** Solve the inequality $$3(8 - 4x) < 6(x - 5)$$ and determine which number line represents the solution set. 2. **Apply the distributive property:**