🧮 algebra

1. The problem states that Courtney's summer camp has 2 canoes for every 5 campers, and there are 70 campers in total. We need to find the proportion that correctly represents this

1. **State the problem:** Factor the expression $$3x^2(x - 7) + 2x(x - 7)$$ completely. 2. **Identify the common factor:** Both terms contain the binomial factor $$(x - 7)$$.

1. The problem is to understand how to interpret information from a graph. 2. A graph visually represents the relationship between variables, usually with an x-axis (horizontal) an

1. The problem is to understand the expression $x^{\frac{1}{5}}$. 2. The expression $x^{\frac{1}{5}}$ means the fifth root of $x$.

1. **State the problem:** Simplify the expression $$\frac{x^{\frac{4}{5}}}{x^{\frac{3}{5}}}$$. 2. **Recall the rule for dividing powers with the same base:** When dividing expressi

1. **State the problem:** Complete the table by converting radical expressions to rational exponents and evaluating them to two decimal places. 2. **Recall the formula:** A radical

1. **State the problem:** We need to solve the division of two fractions: $\frac{9}{4} \div -\frac{4}{3}$. 2. **Formula used:** Dividing by a fraction is the same as multiplying by

1. **State the problem:** We need to express the last row's expression in radical notation, rational exponents, and evaluate it to two decimal places. 2. **Identify the expression:

1. **State the problem:** We need to determine which statements about radicals and rational exponents are true. 2. **Recall definitions and properties:**

1. **State the problem:** Find the x-intercept, vertical asymptote (VA), horizontal asymptote (HA), hole, y-intercept, domain, and range of the function $$f(x) = \frac{2x^2 + 8x +

1. State the problem. Problem: Solve $194+2p=284$.

1. The problem involves understanding the graph of a line and identifying its equation based on its slope and intercepts. 2. The equation of a line in slope-intercept form is given

1. **State the problem:** We need to select the graph that matches the equation $$y = 4x - 2$$. 2. **Recall the slope-intercept form:** The equation is in the form $$y = mx + b$$ w

1. **State the problem:** We need to identify the graph that matches the equation $$y = -2x - 2$$.

1. **State the problem:** Factor the quadratic expressions and match them with their correct factored forms. 2. **Recall factoring formulas:**

1. The problem gives the equation relating pounds of rice $r$ and beans $b$ with total cost $10$: $$2r + 1.60b = 10$$

1. **State the problem:** Lin has $10 to spend on brown rice and beans. Brown rice costs 2 per pound, beans cost 1.60 per pound. Let $b$ be pounds of beans and $r$ be pounds of ric

1. **State the problem:** We are given a system of two linear equations: $$x + y = 15$$

1. **State the problem:** We are given the total cost function for a home security system: $$C = 80 + 40x$$ where $C$ is the total cost and $x$ is the number of months of service.

1. The problem is to understand why the number 6 can be expressed as the pair (4,1). 2. This likely refers to expressing 6 as a sum of squares or a similar decomposition.

1. **State the problem:** Solve the system of equations using the elimination method: $$\begin{cases} 3x - 2y = 10 \\ 7x + 2y = 30 \end{cases}$$