🧮 algebra

1. **Menentukan sama ada urutan nombor adalah jujukan atau bukan** (a) 18, 11, 4, -3, ...

1. **State the problem:** Mateo's home is $x$ miles away from school. Lexi's home is twice as far from school as Mateo's home. We need to find an expression representing the distan

1. **State the problem:** We have the inequality $3.5c - 1.5d \geq 50$ where $c$ is the number of cupcakes sold and $d$ is the number of donuts sold.

1. **State the problem:** We need to find the slope of the line $\ell$ that passes through the points $(2, 2)$ and $(4, 10)$. 2. **Formula for slope:** The slope $m$ of a line pass

1. **State the problem:** We are given the system of equations: $$5x - 9y = 16$$

1. **State the problem:** We want to find the amount of money Teresa will have in her bank account 6 months from now, given the expression $1000 + 250x$, where $x$ is the number of

1. **Problem 1:** Find the product of $(x + 5)$ and $(9 - y + z)$. Formula: Use distributive property: $(A + B)(C + D + E) = A(C + D + E) + B(C + D + E)$.

1. **State the problem:** Solve the equation $z(2z-5)+2=0$ by factoring. 2. **Expand the expression:** Distribute $z$ inside the parentheses:

1. The problem is to factorise an algebraic expression. Since no specific expression was given, let's consider a general example: factorise $x^2 - 5x + 6$. 2. The formula used for

1. **State the problem:** Solve the equation $z(2z-5)+2=0$ for $z$. 2. **Expand the equation:** Use the distributive property to expand $z(2z-5)$:

1. **Problem statement:** We need to determine which of the given sequences is an arithmetic progression (cấp số cộng). 2. **Definition:** A sequence $(u_n)$ is an arithmetic progr

1. **State the problem:** We know the area of a square varies directly with the square of its side length. Given the area of the original square is 64 cm², and the side of the new

1. **Stating the problem:** We start with the curve given by the equation $y = -x^2$. We want to shift this curve so that its axis of symmetry moves from $x=0$ to $x=-1$ and its or

1. **State the problem:** We need to find the solution set for the quadratic inequality $$x^2 - 6x + 8 > 0$$. 2. **Recall the formula and rules:** To solve quadratic inequalities,

1. The problem is to find the determinant of the matrix $$\begin{pmatrix}3 & 8 & 1 \\ 2 & -1 & -2 \\ 4 & -2 & 7\end{pmatrix}$$. 2. The formula for the determinant of a 3x3 matrix $

1. The problem is to solve the quadratic equation $x^2 - 5x + 6 = 0$. 2. The formula to solve quadratic equations is the quadratic formula: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

1. সমস্যাটি হলো: একটি সরলরেখার সমীকরণ নির্ণয় করা যেখানে একটি বিন্দু দিয়ে যায় এবং একটি ঢাল দেওয়া আছে। 2. সরলরেখার সমীকরণ সাধারণত হয় $y = mx + c$, যেখানে $m$ ঢাল এবং $c$ $y$-অক্

1. The problem is to understand and compare the four fractions given: $\frac{4}{93}$, $\frac{4}{89}$, $\frac{93}{4}$, and $\frac{89}{93}$.\n\n2. To compare fractions, recall that a

1. **State the problem:** Solve the equation $5x = 125$ for $x$. 2. **Formula and rules:** To solve for $x$, we use the rule of equality which states that if $a = b$, then $\frac{a

1. Locate the rational numbers $3$, $4$, $\frac{4}{5}$, $0.4\overline{4}$, and $21\frac{3}{1}$ on the number line. - $3$ and $4$ are integers and can be located directly at points

1. **State the problem:** Evaluate the expression $$\frac{1}{8} - \frac{1}{2} \times (-0.4)$$. 2. **Recall the order of operations:** Multiplication comes before subtraction.