🧮 algebra

1. The problem asks to write a compound inequality describing the graph segment between -5 and -4 on the number line. 2. The graph shows a thick magenta line segment from -5 to -4.

1. The problem asks to write a compound inequality describing the graph shown on the number line. 2. The graph shows an open circle at $-5$ and a closed circle at $-4$, with a soli

1. The problem asks to write a compound inequality describing the graph shown on the number line from 675 to 680. 2. The graph has a solid dot at 677, meaning $x \leq 677$ is inclu

1. The problem asks to write a compound inequality describing the graph segment from -289 to -284 with two points at -287 (solid) and -286 (open). 2. A solid point means the value

Problem: Determine the compound inequality represented by a number line with a solid point at $-287$ and an open circle at $-286$. 1. Identify the points.

1. **State the problem:** Zoey wants to make 10 servings of trail mix. The original recipe makes 5 servings and calls for 1 3/4 cups of almonds. We need to find how many cups of al

1. **State the problem:** Evaluate the expression $$3 \cdot 4 - ((-2)^2 - 2)^3$$. 2. **Recall the order of operations:** Parentheses, exponents, multiplication/division, addition/s

1. **State the problem:** Simplify the expression $$\frac{-3 - 5^2}{(-2 + 4)^2}$$. 2. **Recall the order of operations:** Calculate exponents first, then addition/subtraction, and

1. **State the problem:** We have the function $f(x) = x^4$ and want to find the formula for $g(x)$, which is the graph of $f(x)$ shifted left by 6 units. 2. **Recall the rule for

1. **State the problem:** Factor the expressions $12 + 30$ and $36 + 63$ by finding their greatest common factors (GCF). 2. **Formula and property used:** Use the distributive prop

1. The problem is to graph the function $y = a^x$ where $a > 0$ and $a \neq 1$. 2. The general form of an exponential function is $y = a^x$.

1. **State the problem:** We have a piecewise function defined as: $$f(x) = \begin{cases} 1 + x^2 & \text{if } x < 1 \\ 9x - 7 & \text{if } x \geq 1 \end{cases}$$

1. The problem is to find the value of $a$ in the quadratic function given in vertex form: $$y = a(x - h)^2 + k$$ where the vertex is $(h, k)$ and the parabola passes through a giv

1. **State the problem:** We are asked to identify which of the three distributed expressions is incorrect and to rewrite it correctly.

1. **State the problem:** Chris has traveled 14 blocks out of a total of 35 blocks to the bus station. We need to find what percent of the total distance he has traveled so far. 2.

1. **State the problem:** We need to expand and simplify the expression $$3(x - 2)(2x + 3)$$ and write it in the form $$Ax^2 + Bx + C$$ to find the values of $$A$$, $$B$$, and $$C$

1. **State the problem:** Find the values of $A$, $B$, and $C$ in the expansion of $(4x - 3y)(x + 2y) = Ax^2 + Bxy + Cy^2$.

1. **State the problem:** Simplify the expression $3(u - 6) - 7u$. 2. **Apply the distributive property:** Multiply 3 by each term inside the parentheses.

1. **Simplify the expression** $-9(1 - 10n) - 2(3n + 9)$. 2. **Distribute** the constants inside the parentheses:

1. The problem is to understand the vertex form of a quadratic function, which is given by the formula: $$y = a(x - h)^2 + k$$

1. **State the problem:** Simplify the expression $5\sqrt{13} - 2\sqrt{13}$. 2. **Identify like terms:** Both terms contain $\sqrt{13}$, so they are like terms and can be combined