🧮 algebra

1. **State the problem:** We need to find the number of pints of blackberries in a purchase where the total cost is $37.00 at Store A and $66.00 at Store B. 2. **Define variables:*

1. **State the problem:** We need to find the value of $$k = a^2 + \frac{9(b-2)}{4c}$$ given $$a = -2.4$$, $$b = 3.3$$, and $$c = -1.9$$. 2. **Write the formula:** $$k = a^2 + \fra

1. **State the problem:** We need to find the weight of the new wheelchair wheel which is $27\%$ lighter than the old wheel weighing $840$ grams.

1. **State the problem:** We are given two functions:

1. **State the problem:** Simplify the expression $$X2-3$$. 2. **Interpret the expression:** Assuming $$X2$$ means $$X \times 2$$ or $$2X$$, the expression becomes $$2X - 3$$.

1. **State the problem:** We are given the equations $5^p = 9$, $9^q = 12$, $12^r = 16$, $16^s = 20$, and $20^t = 25$. We need to find the value of the product $pqrst$. 2. **Expres

1. **Problem 1:** Given one root of $x^2 + px + 12 = 0$ is $4$, find $q$ if $x^2 + px + q = 0$ has equal roots. 2. Since $4$ is a root of $x^2 + px + 12 = 0$, substitute $x=4$:

1. **State the problem:** We have two quadratic equations:

1. **State the problem:** Find the zeroes of the quadratic expression $x^2 - 3$. 2. **Formula and rule:** To find zeroes, set the expression equal to zero and solve for $x$:

1. **State the problem:** Simplify the expression $$\frac{2 + 2\sqrt{5}}{2}$$. 2. **Formula and rules:** When simplifying a fraction where the numerator is a sum, you can split the

1. **Problem Statement:** Find the percentage of female qualified candidates out of the total appeared candidates in 2007 given:

1. **Problem Statement:** We are given data about the number of candidates who appeared and qualified in a competitive exam from State $x$ over 5 years (2006 to 2010). We know the

1. **State the problem:** We have a machine defined by the function $$M(n) = 8n - 3$$ where $n$ is a positive integer starting from 1. The question is whether the constant term $-3

1. The problem is to understand or interpret the input "k" which is a single variable or symbol. 2. Since "k" alone does not specify an equation or expression, there is no calculat

1. **State the problem:** We need to find the equation of the line in slope-intercept form, which is $$y = mx + b$$ where $$m$$ is the slope and $$b$$ is the y-intercept. 2. **Iden

1. **State the problem:** We need to find the equation of the line in slope-intercept form, which is $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 2. **Identify

1. **State the problem:** Lorraine has the equation $$x^2 + y - 15 = 0$$ and wants to describe it using the terms "relation" and "function".

1. **State the problem:** We have two schools, X and Y. From school X, 30% of students failed. School Y has 150% more students than school X. Overall, 80% of students from both sch

1. **State the problem:** We are given a table showing the number of people attending a wedding ($x$) and the corresponding cost of the wedding ($y$). We need to determine the doma

1. **State the problem:** Find the equation of the line passing through the point $(2,-7)$ with slope $-4$. 2. **Formula used:** The point-slope form of a line is $$y - y_1 = m(x -

1. **State the problem:** Find the equation of the line passing through the point $(3,-4)$ with an undefined slope. 2. **Recall the concept:** A line with an undefined slope is a v