🧮 algebra

1. The problem asks why in step 1 you add 2 and also multiply by 2. 2. Addition means you are increasing the value by 2.

1. The problem is to solve the inequality $$| -6q | \geq 12$$. 2. Recall that $$|x| \geq a$$ means $$x \leq -a$$ or $$x \geq a$$ for positive $$a$$.

1. **State the problem:** Solve the inequality $$|s - 5| < 8$$. 2. **Understand absolute value inequality:** The inequality $$|s - 5| < 8$$ means the distance between $$s$$ and $$5

1. State the problem: Solve the inequality $$2|t| \leq 8$$ for the variable $$t$$. 2. Isolate the absolute value: Divide both sides by 2 to get $$|t| \leq 4$$.

1. We are given the system of linear equations: $$

1. The problem is to solve the equation $$3 + x - 6 (\Gamma - 7) = -2$$ for $x$. 2. From the provided steps, it seems $\Gamma$ was omitted or treated as such. The equation is simpl

1. We are given the system of equations: $$2X+3Y=3$$

1. We are given the linear equation $2X + 3Y = 3$. 2. To express $Y$ in terms of $X$, isolate $Y$ by subtracting $2X$ from both sides:

1. **State the problem:** We have the following equations where each fruit symbolizes a variable: $$

1. Let's define the variables: - Let $G$ = grapes

1. Problem 7 states: If $(x-4)$ varies inversely as $(y+3)$, and given $x=8$ when $y=2$, find $x$ when $y=1$. 2. Write the inverse variation equation:

1. Problem 7: If $(x - 4)$ varies inversely as $(y + 3)$ and $x = 8$ when $y = 2$, find the value of $x$ when $y$ equals one of the options. Step 1: Write inverse variation formula

1. State the problem: Solve for $x$ the quadratic equation $$2x^2 - 4x - 6 = 0.$$\n\n2. Use the quadratic formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ where $a=2$, $b=-4$, and

1. Problem: Complete the blanks in the expressions involving powers and roots linked to the number 5 and 625. 2. Given:

1. The problem asks to express the product $2^{1/5} \times 2^{2/5}$ in radical form. 2. Recall that when multiplying powers with the same base, add the exponents:

1. The problem asks us to multiply the expressions $2^{1/5}$ and $2^{2/5}$ and express the result in radical form. 2. Recall the exponent rule: when multiplying powers with the sam

1. The problem is to simplify the expression $X^2-2\sqrt{30}-11$. 2. Notice that this expression contains a variable $X^2$, a constant term $-11$, and a term involving the square r

1. State the problem: Evaluate the expression $15 + [2^2 \{0.5 (3 - 7) + 8\} - 3^3]$. 2. Simplify inside the parentheses first: $3 - 7 = -4$.

1. We are given the function $y = \frac{12}{x}$ where $x \neq 0$, and an incomplete table of values. We need to fill in the missing $y$ values for given $x$ values. 2. Recall that

1. Stating the problem: Simplify the expression $$\frac{y_3}{y_5}$$. 2. Understanding the expression: Here, $y_3$ and $y_5$ represent variables with subscripts. When dividing varia

1. The problem is to understand the expression "To the power of three minus y to the power of 5." However, this phrase is ambiguous without a clear base for the powers. 2. If the i