🧮 algebra

1. **State the problem:** Solve for $x$ in the equation $4x + 1 - 2x + 2 = 0$. 2. **Combine like terms:** Group the $x$ terms and the constants.

1. **State the problem:** Find the equation of the line passing through the points $(-8,8)$ and $(8,-4)$ in slope-intercept form $y=mx+b$. 2. **Formula for slope:** The slope $m$ i

1. **State the problem:** We need to find the equation of a line in slope-intercept form, which is $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 2. **Identify g

1. The problem is to write the number 862 in scientific notation. 2. Scientific notation expresses a number as $a \times 10^n$ where $1 \leq |a| < 10$ and $n$ is an integer.

1. The problem asks to find the equation of the line in the form $y=mx$ that models the relationship between the number of weeks ($x$) and the number of books ($y$) based on the gi

1. **State the problem:** Solve for $x$ in the equation $$\frac{0.853}{0.972} = \frac{x}{0.0750} \times \frac{0.642}{0.972} + \frac{x}{0.188}.$$\n\n2. **Rewrite the equation clearl

1. **State the problem:** Solve for $x$ in the equation $$\frac{0.853}{0.972} = 0.0750 \times \frac{0.642}{0.972} + \frac{x}{0.188}.$$\n\n2. **Rewrite the equation:** \n$$\frac{0.8

1. The problem asks to find an equation to determine how much taller Noah is than Elena, given Noah's height is $64 \frac{3}{4}$ inches. 2. Let $d$ represent Elena's height in inch

1. The problem is to find an equation that represents how much taller Noah is than Elena. 2. Let $d$ represent the difference in height between Noah and Elena.

1. The problem asks to find the value of $x$ squared when $x=10$. 2. The formula for squaring a number is $x^2 = x \times x$.

1. **State the problem:** We need to find the values of the expressions when $x=6$ and match them to the given options. 2. **Expressions and evaluation:**

1. The question asks why the variable $C$ is different from $b$. 2. In algebra and mathematics, variables like $C$ and $b$ represent different quantities or constants.

1. **Problem statement:** Determine which of the terms on the cards have the value 1. 2. **Recall the rules:**

1. The problem is to simplify or work with the expression $x^3$. 2. The expression $x^3$ means $x$ multiplied by itself three times: $x \times x \times x$.

1. **State the problem:** We have a function defined as $g(x) = a\cos(2x) + d$, where $a$ and $d$ are constants. We are given some values of $g(x)$ at specific $x$ values and need

1. The problem is to arrange the numbers three fourths, five sixths, four fifths, and 0.95 in order from smallest to largest. 2. First, convert all fractions to decimal form to com

1. **State the problem:** We want to express the rational function $$\frac{10 - 17x + 14x^2}{(2 + x)(1 - 2x)^2}$$ in partial fractions of the form $$\frac{A}{2 + x} + \frac{B}{1 -

1. **State the problem:** Express the rational function $$\frac{x^2 + 2x - 8}{x^3 (x^4 - 2)}$$ in partial fractions. 2. **Identify the denominator factors:** The denominator is $$x

1. **State the problem:** Andrew is thinking of a number that is greater than 40 and less than 52, and this number has 3 ones in it. 2. **Analyze the problem:** The number must be

1. **Problem 1:** Simplify the expression $$\frac{2x^4 y^{-4} z^{-3}}{3x^2 y^{-3} z^4}$$. 2. Use the quotient rule for exponents: $$\frac{a^m}{a^n} = a^{m-n}$$.

1. **State the problem:** Six friends attend a concert where each ticket costs 75 and the total parking cost is 24. They split the parking cost equally. We need to find how much ea