🧮 algebra

1. **State the problem:** We have a function represented by a table with Speed (mi/hr) as the independent variable and Stopping Distance (ft) as the dependent variable. We need to

1. **State the problem:** We want to find the value of a car after 5 years, given it depreciates at 5.75% per year from an initial value of 16500.

1. **State the problem:** An element with an initial mass of 670 grams decays by 21.8% per minute. We want to find how much of the element remains after 15 minutes, rounded to the

1. **State the problem:** Solve the inequality $$99 - b < 8$$ for $b$. 2. **Isolate the variable $b$:** To solve for $b$, we want to get $b$ alone on one side of the inequality.

1. **State the problem:** Solve the inequality $$82 \geq 21 - t$$ for the variable $t$. 2. **Understand the inequality:** The symbol $\geq$ means "greater than or equal to." We wan

1. **State the problem:** We need to find which expression is equivalent to $38(251m - 45)$. 2. **Use the distributive property:** The distributive property states that $a(b - c) =

1. **State the problem:** We need to find which expression is NOT equivalent to $$\frac{1}{2} \cdot (x - 6)$$. 2. **Recall the distributive property:** $$a(b - c) = ab - ac$$.

1. The problem asks to identify which two values correspond to the points shown on the number line between 0 and 1. 2. The number line shows two points: one exactly at $\frac{1}{2}

1. The problem involves understanding the expression $x_i \frac{\left|x\right|}{ }$, which appears incomplete as the denominator is missing. 2. Typically, expressions like $x_i \fr

1. **State the problem:** Find the vertex, y-intercept, and x-intercepts of the quadratic function $$y = 4x^2 - 8x - 5$$. 2. **Rewrite the quadratic in vertex form:**

1. The problem states that line e has a slope of $-\frac{34}{43}$ and line f is perpendicular to line e. We need to find the slope of line f. 2. Recall the rule for slopes of perpe

1. **State the problem:** We are given two lines, line c with slope $\frac{85}{82}$ and line d with slope $-\frac{82}{85}$. We need to determine if these lines are parallel, perpen

1. **State the problem:** We need to find the slope of line $r$ which is perpendicular to line $q$. Line $q$ passes through points $(-91, -80)$ and $(-90, -72)$. 2. **Find the slop

1. **State the problem:** We are given the equation of line e as $$y = -\frac{21}{59}x + 89$$ and asked to find the slope of line f which is parallel to line e. 2. **Recall the rul

1. **State the problem:** We need to find the slope of line d, which is parallel to line c. Line c passes through points (7, 10) and (3, 3). 2. **Recall the formula for slope:** Th

1. **State the problem:** Determine if line j passing through points (10, 6) and (1, 4) and line k passing through points (10, 9) and (1, 7) are parallel, perpendicular, or neither

1. **State the problem:** We need to find the slope of line $k$ which is perpendicular to line $j$. Line $j$ passes through points $(1, 5)$ and $(7, 10)$. 2. **Formula for slope:**

1. **Identify irrational numbers from the list:** - A rational number can be expressed as a fraction of two integers.

1. **State the problem:** Find the sum of $3 \times 10^6$ and $3 \times 10^6$. 2. **Recall the formula:** When adding numbers in scientific notation with the same power of 10, add

1. **State the problem:** We are given a table of points representing the number of tickets and their corresponding cost. We need to find the equation of the line in slope-intercep

1. The problem asks which graph represents a linear function increasing at a constant rate. 2. A linear function has the form $$y = mx + b$$ where $$m$$ is the slope (rate of chang