🧮 algebra

1. **State the problem:** Solve the simultaneous equations: $$y - 4x = 16$$

1. **State the problem:** Simplify the expression $$\left(s^{-\frac{4}{3}}\right)^5$$ assuming all variables are positive. 2. **Recall the exponentiation rule:** When raising a pow

1. **State the problem:** Simplify the expression $$(-c)^{\frac{5}{3}}$$ assuming all variables are positive. 2. **Recall the rules:** For any positive variable $c$, and rational e

1. **State the problem:** Find the value of $A$ such that the slope from point $(5,8)$ to point $(A,4)$ is undefined.

1. **State the problem:** We have a table showing the number of flyers Trey has printed at different times. We want to find how many flyers he had at the start (time 0) and underst

1. The problem asks to rewrite the left side of the equation $2x^3 y^5 = 8x^3 y^5$ by adding parentheses to make a true statement. 2. We start with the original expression on the l

1. **State the problem:** Multiply the polynomials using the box method: $$(5x + 4)(x - 2)$$ 2. **Set up the box:** The box has 2 rows and 2 columns. The top headers are $x$ and $-

1. **State the problem:** We need to expand and simplify the expression $$(4x - 4)(-4x + 6)$$. 2. **Formula used:** To multiply two binomials, use the distributive property (FOIL m

1. We are asked to solve the linear system using substitution: $$2x - 4y = 7$$

1. The problem involves analyzing a parabola centered at the origin with vertex at (0,0) and points (-3,4) and (2,4) on the curve. 2. The general form of a parabola opening upwards

1. The problem involves understanding the given discrete function with domain $D = \{0,4\}$ and range $R = \{-2,2\}$. We are asked to analyze or interpret this function based on th

1. The problem involves understanding the given sets and their relationships on the Cartesian plane. 2. The domain (D) is given as $D = \{0,4\}$, meaning the input values are 0 and

1. The problem describes a parabola with the axis of symmetry $x=2$, vertex at $(2,1)$, minimum value $1$, no maximum, domain all real numbers, and range $y \geq 1$. 2. The general

1. **State the problem:** Simplify the expression $3.6 \times 5 - 4.8 \div 4 + 10.2$. 2. **Recall order of operations:** Multiplication and division are performed before addition a

1. **State the problem:** We are asked to find the result of adding the two equations: $$\begin{aligned}

1. **State the problem:** Solve the system of equations: $$\begin{aligned}&-3y+5x = 26 \\\ &-2y-5x = -16\end{aligned}$$

1. **State the problem:** Simplify the expression $$-6 + \frac{25}{3} - 1$$. 2. **Combine like terms:** First, combine the integer terms $$-6$$ and $$-1$$.

1. **State the problem:** Simplify the expression $$\frac{3}{8}(2^4) + \frac{25}{24}(2^3) - \frac{1}{2}(2)$$. 2. **Recall the powers of 2:**

1. We are asked to solve the system of equations by elimination: $$\begin{cases} y = -3x + 5 \\ y = -8x + 25 \end{cases}$$

1. **State the problem:** Solve for $m$ in the equation $$\frac{4}{5} = \frac{1}{8} m.$$\n\n2. **Write the formula and explain:** We want to isolate $m$ on one side. Since $m$ is m

1. Stating the problem: Solve for $z$ in the equation $$\frac{7}{10} = \frac{2}{5} z$$. 2. To isolate $z$, divide both sides of the equation by $\frac{2}{5}$.