🧮 algebra

1. The problem asks to write an inequality representing the statement "y is less than -8". 2. The inequality symbol for "less than" is $<$.

1. The question asks about the origin of the term $7x$ in step 4. 2. Typically, $7x$ appears from combining like terms or distributing a coefficient in an algebraic expression.

1. **State the problem:** Solve the system of linear equations using substitution: $$\begin{cases} 2x + y = 5 \\ x - 3y = 13 \end{cases}$$

1. **State the problem:** Multiply and simplify the expression $2\sqrt{6} ( 5\sqrt{6} - 4\sqrt{2} )$. 2. **Recall the distributive property:** $a(b - c) = ab - ac$.

1. **State the problem:** We need to find a three-digit year where the digits satisfy the following conditions: - The tens digit is 1 less than the units digit.

1. **Problem:** Find the x- and y-intercepts of the equation $4x + y = 5$. 2. **Formula and rules:**

1. The problem asks which babysitter earns more dollars per hour based on the given data for Babysitter A. 2. To find the hourly rate, we use the formula for rate: $$\text{Rate} =

1. **State the problem:** We need to find which streaming service has the lower price per movie.

1. Problem: Simplify the expression $4x^5 \times (2x)^2 \div 8x$. 2. Formula and rules:

1. The problem asks which expression represents the volume of the tower. 2. Volume of a cube or rectangular prism is calculated by the formula $$\text{Volume} = \text{length} \time

1. **State the problem:** We are given a linear relationship between snowfall depth (in inches) and time (in hours). The graph shows snowfall increasing from 0 inches at 0 hours to

1. The problem is to identify which function corresponds to each graph based on their descriptions and the given functions. 2. The functions are:

1. **Problem 7: Find the equation of the line on the graph.** The graph shows a line descending from left to right, crossing the y-axis at approximately 3.5 and the x-axis at appro

1. **State the problem:** We are given a table showing the time $x$ in seconds and the distance $y$ a cheetah can sprint in feet. We need to find an equation that models the relati

1. The problem asks to determine whether each function is linear or nonlinear based on given data points. 2. A function is linear if the rate of change (slope) between any two poin

1. The user asks if there is a way to solve a problem that gives a graph. 2. To help, I need the exact problem or equation related to the graph.

1. **Problem:** Simplify the expression $$\sqrt{6561x^3}$$. 2. **Recall the rule:** The square root of a product is the product of the square roots: $$\sqrt{ab} = \sqrt{a} \times \

1. **State the problem:** Find the equation of the line that passes through the point $(-3, -6)$ and is perpendicular to the line $y = 1$. 2. **Understand the given line:** The lin

1. **State the problem:** A warehouse starts with 7,250 books and ships out 150 books per day. We want to find when the number of books will be less than 2,000, so the warehouse wi

1. **State the problem:** We have a rectangle with length 35 feet and width $w$ feet. The area must be at least 420 square feet, and the perimeter must be no more than 125 feet.

1. **State the problem:** We need to find the rate of change of record obstacle course completion times between the years 2014 and 2017. 2. **Identify the data points:** From the g