🧮 algebra

1. **State the problem:** Maria and Marc both travel 50 miles to work. Maria drives at 50 mph without stopping. Marc drives at 40 mph but stops for 10 minutes to get coffee. We nee

1. State the problem: Find the value of $(-2) + (-4)(2)$. 2. Evaluate the multiplication part first: $(-4)(2) = -8$.

1. **State the problem:** We need to analyze the function $$y = (x^2 + 2)^2 (x^4 + 4)^4$$ and understand its behavior. 2. **Rewrite the function:** The function is a product of two

1. The problem is to simplify the expression: $$2 + 2(5 \times 9) - 8$$. 2. First, calculate the multiplication inside the parentheses: $$5 \times 9 = 45$$.

1. **Masalah 7:** Diberi jarak perjalanan ETS dari Butterworth ke Kuala Lumpur ialah 390 km dan tempoh perjalanan ialah 4 jam 15 minit. 2. Tukar tempoh perjalanan ke dalam jam saha

1. The problem is to evaluate the expression $3^4 \times 6^4$. 2. First, calculate each power separately:

1. **Problem:** Find $x$ if $\log_2(x^2 - 6x + 40) = 5$. 2. Rewrite the logarithmic equation in exponential form:

1. **State the problem:** Simplify the expression $$(\sqrt{5} - \sqrt{1})^2$$. 2. **Recall the formula:** The square of a difference is given by $$(a - b)^2 = a^2 - 2ab + b^2$$.

1. **Problem 3:** Simplify the expression $$\frac{2\sqrt{14} + \sqrt{6}}{\sqrt{14} + \sqrt{6}} - \frac{\sqrt{14}}{\sqrt{14} - \sqrt{6}} = \sqrt{2} \sqrt{7}$$. 2. First, note that $

1. The problem is to evaluate the expression $$(3^1 + 4^1 + 5^1)^0$$. 2. First, simplify the terms inside the parentheses:

1. The problem is to solve a quadratic equation using the squaring method. 2. Suppose the quadratic equation is $ax^2 + bx + c = 0$.

1. The problem is to solve an equation using the squaring method. 2. The squaring method involves isolating the square root term and then squaring both sides of the equation to eli

1. **State the problem:** Solve the quadratic equation $$x^2 + 4x - 5 = 0$$. 2. **Identify coefficients:** Here, $$a = 1$$, $$b = 4$$, and $$c = -5$$.

1. **State the problem:** Solve for $t$ in the equation $$\ln \frac{500000}{250000} = \ln \left(1 + \frac{0.3}{4}\right)^{4t}.$$\n\n2. **Simplify the left side:** \nCalculate the f

1. **State the problem:** We have three pipes: Pipe A fills the tank in 10 minutes, Pipe B empties the tank in 30 minutes, and Pipe C empties the tank in 35 minutes. The tank start

1. The problem is to evaluate the expression $78^2 + 4 + 312$. 2. First, calculate $78^2$ which means $78 \times 78$.

1. Simplify: $ (2x + 3)(3x^2 - x - 2) $. Step 1: Use distributive property (FOIL method):

1. The problem is to evaluate the expression $5 - [-6] + [8]$. 2. First, recognize that subtracting a negative number is the same as adding its positive counterpart. So, $5 - [-6]$

1. The problem is to understand the effect of adding a positive number on a number line. 2. When you add a positive number to a value, you move that value to the right on the numbe

1. The problem appears to involve comparing or simplifying expressions involving square roots and constants. 2. Let's analyze each option:

1. The problem appears to list several lengths with square root expressions: A is $9\sqrt{2}$ m, B is $\sqrt{2}$ m, C is $\sqrt{47}$ m, D is $\frac{5}{2}$ m, and E is 3 m. 2. To un