🧮 algebra

1. The problem states that Freddie travels from home to Matthew's house, stays there briefly, then returns home. 2. From the graph description, Freddie starts at 0 km at 13:00, rea

1. **State the problem:** Find the slope of the line passing through the points $(68, 10)$ and $(66, 96)$. 2. **Recall the slope formula:** The slope $m$ between two points $(x_1,

1. The problem asks to write a compound inequality describing the graph shown. 2. The graph has open circles at -3 and -1, meaning these points are not included.

1. The problem is to analyze the linear equation $2x + y = 2$. 2. We want to express $y$ in terms of $x$ to understand the relationship.

1. **Problem statement:** We analyze whether certain types of relations represent functions and what happens when the x- and y-values are reversed.

1. The problem is to find the sum of the fractions $\frac{9}{8} + \frac{6}{3} + \frac{5}{8}$.\n\n2. First, simplify the fraction $\frac{6}{3}$. Since $6 \div 3 = 2$, we have $\frac

1. The problem states that a pair of dress pants costs 60 and this is 3 times as much as a pair of sweatpants. 2. Let $s$ represent the cost of the sweatpants.

1. The problem states that a pair of dress pants costs 60 and this is 3 times the cost of a pair of sweatpants. We need to find the cost of the sweatpants, denoted as $s$. 2. Write

1. **State the problem:** A pair of dress pants costs 60. This price is 3 times the cost of a pair of sweatpants. We need to find the cost of the sweatpants, denoted as $s$. 2. **W

1. **State the problem:** We need to find the value of the expression $$\frac{c}{b^3}$$ for given values $$b=2$$ and $$c=16$$. 2. **Substitute the values:** Replace $$b$$ with 2 an

1. The problem is to evaluate the expression $m^n$ for $m=1$ and $n=3$. 2. Substitute the values into the expression: $1^3$.

1. **State the problem:** Evaluate the expression $u - 4^2 - t$ for $t = 3$ and $u = 20$. 2. **Substitute the values:** Replace $u$ with 20 and $t$ with 3 in the expression:

1. **State the problem:** We need to find the value of the expression $$m^n - 3^3$$ for $$m=3$$ and $$n=3$$. 2. **Substitute the values:** Replace $$m$$ with 3 and $$n$$ with 3 in

1. **State the problem:** We need to find the value of the expression $$z \times (w^3 \times 2)$$ for $$w = 2$$ and $$z = 1$$. 2. **Substitute the values:** Replace $$w$$ with 2 an

1. The problem is to evaluate the expression $m^n \div 9$ for $m=9$ and $n=2$. 2. Substitute the given values into the expression: $$9^2 \div 9$$

1. The problem is to evaluate the expression $v^w$ for $v=1$ and $w=3$. 2. Substitute the given values into the expression: $1^3$.

1. El problema es encontrar la derivada de la función $$f(x) = -5x^4 - 8x^3 + 2x^2 - 4x - 4$$. 2. Recordemos que la derivada de $$x^n$$ es $$nx^{n-1}$$ y la derivada de una suma es

1. **State the problem:** Evaluate the expression $h^2 - 3^k$ for $h=3$ and $k=2$. 2. **Substitute the values:** Replace $h$ with 3 and $k$ with 2 in the expression:

1. **State the problem:** We need to find the value of the expression $$5^n \div r$$ for $$n=2$$ and $$r=5$$. 2. **Substitute the values:** Replace $$n$$ with 2 and $$r$$ with 5 in

1. **State the problem:** Evaluate the expression $3^z - 4 - (w - 2)$ for $w = 5$ and $z = 2$. 2. **Substitute the values:** Replace $z$ with 2 and $w$ with 5 in the expression:

1. The problem is to evaluate the expression $2 \times r^n$ for $n=3$ and $r=2$. 2. Substitute the given values into the expression: $2 \times 2^3$.