🧮 algebra

1. **State the problem:** Find all integer values of $x$ such that $$-10 < x < -7$$. 2. **Understand the inequality:** The inequality means $x$ is greater than $-10$ and less than

1. **Stating the problem:** Simplify and analyze the expression $$\sqrt{\left(\frac{20.5}{10 - 5a}\right)^{-\frac{1}{8}}}$$ and determine the values of $a$ for which the expression

1. **State the problem:** Solve the equation $x \times 5 + 4 = 6$ for $x$. 2. **Write the equation:** The equation is $5x + 4 = 6$.

1. **State the problem:** Solve the inequality $5f - 4 > 38 - 2f$. 2. **Write down the inequality:**

1. **State the problem:** Solve the inequality $$7w \geq w + 48$$. 2. **Rewrite the inequality:** To isolate $w$, subtract $w$ from both sides:

1. **State the problem:** Factorise fully the expression $$2c^2 - 18d^2$$. 2. **Identify the common factor:** Both terms have a common factor of 2.

1. The problem involves converting the roots $x_1$ and $x_2$ of a quadratic equation or any other context where these variables represent values that need conversion. 2. To convert

1. The problem is to rewrite the equation $ax + by = c$ given that $y = \frac{1}{5}x - 4$. 2. We start by substituting the expression for $y$ into the original equation:

1. Problem: Solve the expression under part b) which is $$\frac{b}{2^2} - (-3)^2$$. 2. Formula and rules: Recall that exponentiation applies before division and subtraction.

1. **State the problem:** We are given the linear equation $y = -1 - 5x$ and need to find the y-intercept and slope. 2. **Recall the slope-intercept form:** The general form of a l

1. Stated problem: Calculate the value of the expression $$\left(\frac{7}{8} - \frac{5}{12}\right) \times 0.36 + 0.94$$. 2. First, find the difference inside the parentheses: $$\fr

1. **State the problem:** Solve the equation $y + 4 = -6(x + 1)$ for $y$. 2. **Use the distributive property:** Expand the right side:

1. The problem involves understanding percentages and their application to given amounts. 2. The formula to calculate a percentage of a number is $$\text{Percentage value} = \frac{

1. Stating the problem: Calculate the value of $$\left(\frac{7}{8} - \frac{5}{12}\right) \times 0.36 + 0.94$$. 2. Find a common denominator for the fractions inside the parentheses

1. Problem: Solve the equation or expression given by the user. Since the user only wrote "Rijesi" (which means "Solve" in Croatian), but did not provide a specific equation, I wil

1. **State the problem:** Solve the inequality $$\frac{1}{2^{4-x}} > 2^5$$. 2. **Rewrite the left side:** Recall that $$\frac{1}{a^b} = a^{-b}$$, so

1. **State the problem:** We need to find the lowest common multiple (LCM) of 154 and 273 using their prime factor trees. 2. **Prime factorization from the trees:**

1. The problem is to subtract two numbers in scientific notation: $8.4 \times 10^{-11} - 5.1 \times 10^{-12}$. 2. To subtract numbers in scientific notation, they must have the sam

1. **State the problem:** Solve the equation $3X + x^3 + x = 36$ for $x$. 2. **Rewrite the equation:** The equation is $3X + x^3 + x = 36$. Assuming $X$ and $x$ represent the same

1. **State the problem:** We need to add two numbers in standard form: $3.9 \times 10^9$ and $6.4 \times 10^7$.

1. **State the problem:** We need to subtract two numbers in scientific notation: $5.9 \times 10^7$ and $3.4 \times 10^6$, and express the result in standard form. 2. **Recall the