🧮 algebra

1. Problem Q6: Simplify the expression $ (2x^2 + 3x) - (x^2 - 2x) $. 2. Remove the parentheses carefully, remembering to distribute the minus sign to each term inside the second pa

1. **Write the statements as equations:** 1.2.1 A number totals 5 times B and C.

1. **State the problem:** Given the function $f(x) = -x^2 + 2x + 3$, find: b. The x- and y-intercepts

1. **Écrire sous forme de valeur absolue l’intervalle $x \in ]3;5[$** L'intervalle $]3;5[$ correspond aux nombres $x$ tels que $3 < x < 5$.

1. **State the problem:** Given a quadratic function $$f(x) = x^2 + kx - 8$$ and the condition $$f(4) = 0$$, find: a. The value of $$k$$.

1. **State the problem:** Given a quadratic function $$f(x) = x^2 + kx - 4$$ and the condition $$f(4) = 0$$, find: a. The value of $$k$$.

1. The problem is to graph polynomial functions and use the leading coefficient test to determine their end behavior. 2. The leading coefficient test states that the end behavior o

1. **State the problem:** Use the leading coefficient test to determine the end behavior of each polynomial function. 2. **Recall the leading coefficient test:** The end behavior o

1. Calculate $8 - 13$: $$8 - 13 = 8 + (-13) = -5$$

1. The problem asks to find how long Freddie takes to get back home from Matthew's house. 2. From the graph description, Freddie starts at home (0 km) at 13:00 and reaches Matthew'

1. The problem asks to find how long Aminata takes to get to Lila's house based on the given distance-time graph. 2. From the graph, Aminata starts at home at 12:00 with a distance

1. The problem asks to find how long Lottie stays at Fatoumata's house based on the distance-time graph. 2. From the graph, Lottie starts at home (0 km) at 12:00 and travels to Fat

1. **State the problem:** Madhu bought a coat costing 1800 before tax and paid 1980 after including VAT. We need to find the rate of tax charged. 2. **Identify given values:**

1. The problem states that Madhu bought a coat costing 1800 and paid VAT, making the total price 1980. 2. We need to find the VAT amount and the VAT rate.

1. The problem is to simplify the expression $$\sqrt[3]{27^4}$$. 2. First, recognize that 27 can be written as a power of 3: $$27 = 3^3$$.

1. The problem is to analyze the quadratic function $y = x^2 - 8x + 1$. 2. First, we find the vertex by completing the square.

1. **State the problem:** We need to find which of the given options is equal to the expression $$2017 - \frac{1}{2017}$$. 2. **Rewrite the expression with a common denominator:**

1. The problem is to evaluate the expression $\sqrt[3]{27^4}$.\n\n2. First, rewrite the cube root as a fractional exponent: $\sqrt[3]{27^4} = (27^4)^{\frac{1}{3}}$.\n\n3. Use the p

1. **State the problem:** Factorise the quadratic expression $$6y^2 - 5y - 4$$ fully. 2. **Identify coefficients:** The quadratic is in the form $$ay^2 + by + c$$ where $$a=6$$, $$

1. **State the problem:** We are given the function $$f(x) = (x^2 - 6x)(x - 2) + 3x$$ and told it can be expressed as $$x(x^2 - 8x + 15)$$. We need to factorise $$f(x)$$ completely

1. Таны хүссэнээр эерэг болон сөрөг тооны хэрчимийг зуръя. 2. Эерэг тооны хэрчим гэдэг нь тэгээс дээш бүх тоонуудыг хамарсан шулуун юм. Жишээ нь, $x > 0$ гэсэн хэрчим нь $x$ тэнхлэ