🧮 algebra

1. The problem is to solve the equation $$5 = \frac{2x + 9}{7}$$ for $x$. 2. To eliminate the denominator, multiply both sides of the equation by 7:

1. The question asks if the answers derived from the graph are 100% correct. 2. To verify answers from a graph, we must check the exact values of the function at the points of inte

1. **State the problem:** We need to determine which of the given equations could represent the line shown on the graph. The line has a positive slope, rising from bottom-left to t

1. The problem asks which graph could represent the line given by the equation $$y = -3(x - 5)$$. 2. First, rewrite the equation in slope-intercept form $$y = mx + b$$ to identify

1. The problem asks which graph could represent the line given by the equation $$y = -3(x - 5)$$. 2. First, rewrite the equation in slope-intercept form $$y = mx + b$$.

1. The problem is to find the equation of the line shown on the graph, which passes through points (0,3) and (2,8). 2. First, calculate the slope $m$ of the line using the formula:

1. The problem is to find the equation of the line given several forms and a graph description. 2. Let's analyze each given equation:

1. **State the problem:** We need to determine which of the given equations could represent a line with a positive, steep slope that crosses both axes below their origins. 2. **Ana

1. The problem is to solve the equation $234 + x = 300$ for $x$. 2. To isolate $x$, subtract 234 from both sides of the equation:

1. We are given that $ (a+b)^2 = 49 $ and $ ab = 15 $. We need to find the value of $ a^2 + b^2 $.\n\n2. Recall the algebraic identity: $$ (a+b)^2 = a^2 + 2ab + b^2 $$\n\n3. Substi

1. **State the problem:** We are given that $ (a+b)^2 = 49 $ and $ ab = 15 $. We need to find the value of $ a^2 + b^2 $.\n\n2. **Recall the identity:** We know that \n$$ (a+b)^2 =

1. **State the problem:** Simplify the expression $6x^2 + 5x^3 - 4x^2 - 7x^3$.\n\n2. **Group like terms:** Group the terms with $x^2$ and the terms with $x^3$ together:\n$$6x^2 - 4

Problem: Simplify the expression $6x^2+5x^3-4x^2-7x^3$. 1. Combine like terms by grouping coefficients of the same power of $x$.

1. The problem states that the solution for $x$ is given as $0.615$ according to the marking guide. 2. To verify or understand this solution, we would need the original equation or

1. **State the problem:** Simplify the expression $2m + 6n + 5n + 2m$. 2. **Group like terms:** Combine terms with $m$ and terms with $n$ separately.

1. The problem is to simplify the expression \sqrt{x}2. 2. Note that \sqrt{x} means the square root of x, which is written as $\sqrt{x}$.

1. The problem asks to find how long Adam takes to get back home from Hamza's house. 2. From the graph description, Adam travels from home (0 km) to Hamza's house (30 km) by 14:00.

1. The problem describes Adam's distance from home over time, shown as a piecewise linear graph. 2. From 13:30 to 14:00, the distance increases from 0 km to 30 km. This is a linear

1. The problem asks to find how long Adam takes to get back home from Hamza's house. 2. From the graph description, Adam starts at home (0 km) at 13:30 and reaches Hamza's house (3

1. **State the problem:** Find the slope of the line passing through the points $(-8, 23)$ and $(79, -28)$. 2. **Recall the slope formula:** The slope $m$ between two points $(x_1,

1. **State the problem:** Find the slope of the line passing through the points $(87, 41)$ and $(-3, 61)$. 2. **Recall the slope formula:** The slope $m$ between two points $(x_1,