🧮 algebra

1. The problem asks to write the equation of the line shown in the graph in slope-intercept form $y=mx+b$. 2. From the graph, the line passes through the points $(0,160)$ and $(4,0

1. **State the problem:** We are given a table of values for $x$ and $y$: $$\begin{array}{c|cccc}

1. **State the problem:** We are given that $7y$ is directly proportional to $(x+3)^2$, and the sum of values of $y$ when $x=8$ and $x=10$ is 870. We need to find an equation conne

1. **State the problem:** Find the missing number (let's call it $a$) in the equation $$a x + 2 - 9x = -5x + 2$$ so that the equation has infinitely many solutions. 2. **Rewrite th

1. **State the problem:** Find the missing number $a$ such that the equation $$-2(x + 5) = a x - 10$$ has infinitely many solutions. 2. **Rewrite the equation:** Expand the left si

1. **State the problem:** We analyze the graph showing gallons in tank $y$ versus miles driven $x$ to determine which statements about the graph are true. 2. **Check statement A:**

1. The problem asks to find the missing number in the equation $$4x - 10 = \_ x + 12$$ so that the equation has no solutions. 2. For a linear equation $$ax + b = cx + d$$ to have n

1. The problem states that Meredith's cellular cost varies directly with the number of weeks she uses her phone. This means the relationship can be written as $$y = kx$$ where $$y$

1. The problem asks which equation does NOT represent a linear proportional relationship. 2. A linear proportional relationship has the form $y = kx$, where $k$ is a constant and t

1. **State the problem:** Find the missing number \(a\) in the equation \(a x - 2 - 5x = -2x + 10\) so that the equation has no solutions. 2. **Rewrite the equation:** Combine like

1. **Problem:** Evaluate \( \frac{1.5 + 2.85}{4.66 - 3.21} \). Step 1: Calculate numerator: \(1.5 + 2.85 = 4.35\).

1. **Problem:** Mila is 4 years older than her brother Nelo. The sum of their present ages is 28. Step 1: Let Nelo's age be $x$. Then Mila's age is $x + 4$.

1. نبدأ بكتابة المعطيات: $$16 = a \times b$$

1. نبدأ بقراءة المسألة: لدينا مبلغ 780000 ريال مقسم إلى ثلاثة أجزاء بنسب معينة. 2. النسب المعطاة هي 7 و 8 و 7 (أو 8 و 7) حسب الخيارات، ولكن بما أن السؤال يذكر تقسيم المال إلى ثلاثة

1. **State the problem:** Solve the inequality $$-\frac{1}{2} (4x + 20) \leq -7 \left(x + \frac{15}{7}\right)$$. 2. **Distribute the terms:**

1. **State the problem:** Solve the inequality $$\frac{3}{2}x - 2 < -2(x + 8)$$ and determine the correct graph representation. 2. **Distribute on the right side:**

1. **State the problem:** Solve the inequality $$-4x + 24 < 2x + 21$$. 2. **Isolate variable terms:** Add $$4x$$ to both sides to get all $$x$$ terms on one side:

1. **State the problem:** Solve the inequality $$4x + 3 \leq 3x - 5$$. 2. **Isolate the variable terms:** Subtract $$3x$$ from both sides:

1. **State the problem:** Solve the inequality $$\frac{1}{8}(3x - 6) < 4$$. 2. **Multiply both sides by 8** to eliminate the fraction:

1. The logarithm property used is the **Product Rule**: $$\log_b(xy) = \log_b(x) + \log_b(y)$$. 2. The logarithm property used is the **Quotient Rule**: $$\log_b\left(\frac{x}{y}\r

1. The logarithm property used is the **Product Rule** of logarithms. 2. This property states that the logarithm of a product is equal to the sum of the logarithms of the factors.