🧮 algebra

1. Masalah: Diberikan deretan persegi panjang dengan pola panjang dan lebar sebagai berikut: Panjang: 2, 3, 5, ...

1. The problem is to find the next two terms in the sequence: 4, 8, 8, 6, 12, 4, …, … 2. Let's analyze the sequence step-by-step to identify a pattern.

1. **State the problem:** Solve the system of linear equations: $$10x + 4y = 15$$

1. We are given the system of linear equations: $$8x - 5y = 66$$

1. **Express the following as partial fractions:** $$\frac{9x^2 + 20x - 10}{(x + 2)(3x - 1)}$$

1. Masalah: Diberikan barisan 2, 3, 5, 8, 13, …, tentukan suku ke-10. 2. Perhatikan pola barisan: 2, 3, 5, 8, 13, …

1. **Problem:** Simplify the expression $$\frac{6^3 \times 9^6 \times 3^4}{18^3}$$. 2. **Recall the rules:**

1. **مسئله:** حاصل عبارت $$\frac{3^4 \times 3^3 \times 6^4 \times 6^3}{18^3}$$ را بیابید. 2. **فرمول‌ها و قوانین مهم:**

1. **State the problem:** Evaluate the expression $3 + 3 \times 3 - 3 \div 3 - 2$. 2. **Recall the order of operations (PEMDAS/BODMAS):**

1. **Problem Statement:** Calculate the new price of an item after a 15% increase in the first month, a 20% increase in the second month, and an 8% decrease in the third month, giv

1. **State the problem:** Arrange the ratios 1:2, 3:4, and 4:5 in ascending order. 2. **Convert ratios to fractions:** Ratios can be expressed as fractions for easier comparison.

1. The problem is to understand the inequality $y > -(x-2)^2 + 3$ and describe the region it represents. 2. This inequality involves a quadratic function in vertex form: $y = a(x-h

1. **Problem Statement:** We want to understand how to solve systems of quadratic equations, which are sets of two or more equations where at least one equation is quadratic (degre

1. **State the problem:** Solve the inequality $$(x+4)^2 - 4 < 0$$. 2. **Rewrite the inequality:** Add 4 to both sides to isolate the square term:

1. The problem is to solve the equation $2x + 3 = 7$ for $x$. 2. We use the basic algebraic principle that to isolate $x$, we perform inverse operations to both sides of the equati

1. **State the problem:** Factor the expression $3a^4 - 18a^2 b^2 + 3b^4$. 2. **Identify common factors:** Notice each term has a factor of 3, so factor out 3:

1. The problem is to graph the function you mentioned (though you did not specify it explicitly). 2. To graph a function, you need to understand its formula and key features such a

1. **State the problem:** Find the x-intercept, y-intercept, and slope of the equation $$4x - y = 8$$. 2. **Rewrite the equation:** To find intercepts and slope, express the equati

1. The problem is to solve the linear equation $4x - 5y = 20$ for one variable or to find another similar equation. 2. The general form of a linear equation in two variables is $Ax

1. **State the problem:** Find the x-intercept, y-intercept, and slope of the equation $$3x + 2y = 6$$. 2. **Formula and rules:**

1. Let's solve the equation $2x + 3 = 11$. 2. The goal is to find the value of $x$ that makes the equation true.