🧮 algebra

1. **State the problem:** Find the $x$-intercepts and $y$-intercepts of the function $$y=-(x+2)^3$$. 2. **Recall the definitions:**

1. Énonçons le problème : factoriser l'expression $$E = 6x^2 + 57x + 72$$. 2. La méthode consiste à trouver deux nombres dont le produit est égal à $$6 \times 72 = 432$$ et dont la

1. نبدأ بكتابة التعبير المعطى: $$\frac{\sqrt{7} - 3\sqrt{5}}{\sqrt{7} + 3\sqrt{5}}$$

1. **State the problem:** We need to match each polynomial on the left with its correct factored form on the right. 2. **Recall factoring formulas:**

1. **State the problem:** We need to match each polynomial on the left with its correct factored form on the right. 2. **Factor $4x^2 + 18x$:**

1. The problem asks for the end behavior of a function based on the description of its graph. 2. End behavior describes how the function behaves as $x \to -\infty$ and $x \to \inft

1. The problem asks us to find the interval where the function is decreasing. 2. The function is piecewise linear through the points $(-6,0)$, $(-5,5)$, $(-2,5)$, $(0,4)$, $(1,3)$,

1. The user asked for a practice test, but no specific math problem was provided. 2. To help, I will create a sample algebra problem for practice.

1. Let's start by understanding what inequalities are. Inequalities compare two values and show if one is less than, greater than, less than or equal to, or greater than or equal t

1. **State the problem:** We need to order the numbers $0.625$, $-7$, $7$, $\frac{5}{7}$, $-0.625$, and $-\frac{7}{5}$ from smallest to largest. 2. **Convert all numbers to decimal

1. **State the problem:** We need to order the numbers $0.625$, $-7$, $7$, $\frac{5}{7}$, $-0.625$, and $-\frac{7}{5}$ from smallest to largest. 2. **Convert all numbers to decimal

1. **State the problem:** We need to identify which numbers from the list are rational numbers. 2. **Recall the definition:** A rational number is any number that can be expressed

1. **State the problem:** Solve the equation $$16x - 5 = 8x$$ for $x$. 2. **Isolate the variable terms:** Subtract $8x$ from both sides to get all $x$ terms on one side:

1. **State the problem:** Stan's yearly bonus is given by the expression $$-0.2x + 361$$ where $x$ is the number of complaints.

1. **State the problem:** Factorise the expressions \(\left(\frac{1}{3}-2x\right)+(6x-1)(x+1)\) and \((3x-2)ex2+(2x+9)(4-6x)\).\n\n2. **First expression:** \(\left(\frac{1}{3}-2x\r

1. **State the problem:** We start with the reciprocal parent function $$f(x) = \frac{1}{x}$$ and apply two transformations: shifting 8 units down and 6 units to the left. 2. **Rec

1. **State the problem:** We need to determine which pair of functions are inverses of each other. 2. **Recall the definition of inverse functions:** Two functions $f$ and $g$ are

1. **State the problem:** Simplify the expression $$-3x^2 - 3x^2$$. 2. **Formula and rules:** When combining like terms, add or subtract the coefficients of the terms with the same

1. **State the problem:** Simplify the expression $$- \frac{1}{2} (6x^2 - 4x)$$. 2. **Recall the distributive property:** When multiplying a number by a parenthesis, multiply the n

1. **State the problem:** We need to subtract each pair of fractions and find the simplified result. 2. **Formula and rules:** To subtract fractions, find a common denominator, con

1. **State the problem:** We need to find the solution set of the equation $$|x + 3| = -30$$. 2. **Recall the property of absolute values:** The absolute value of any real number i