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Home Question Bank Math Algebra Archive 2024 December 23

Algebra Questions from Dec 23,2024

Browse the Algebra Q&A Archive for Dec 23,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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PART 5 - Mathematical Knowledge \[ \begin{array}{l} \text { Factor: } a^{3}+b^{3} \\ \text { A }(a+b)\left(a^{2}-a b+b^{2}\right) \\ B(a+b)\left(a^{2}-a b-b^{2}\right) \\ C(a-b)\left(a^{2}+a b-b^{2}\right) \\ D(a+b)(a+b)(a+b)\end{array} \] RT 5 - Mathematical Knowledge If \( x \) lies between 1 and 2, but does not equal 1 or 2, which of these statements is true? A \( \quad 1<\mathrm{x}+1<2 \) B \( \quad 1<\mathrm{x}-1<2 \) C \( -1<2-\mathrm{x}<1 \) D \( -1<3-2 \mathrm{x}<1 \) Click the button or type the letter to the left of your answer. - Mathematical Knowledge What is \( -3 x+1 \) subtracted from \( 3 x-1 \) ? \( \begin{array}{l}\text { A } 6 x-2 \\ \text { B }-2 \\ \text { C } 6 x \\ \text { D }-6 x+2\end{array} \) ART 5 - Mathematical Knowledge Simplify: \( \left(\frac{2 x^{2}+5 x+2}{x+1}\right)\left(\frac{x^{2}-1}{x+2}\right) \) A \( 2 x^{2}-x-1 \) B \( 2 x^{2}-x-6 \) Iathematical Knowledge Which of the following expressions is equivalent to \( 92 x^{2}+x-1+x y+\frac{2 x^{3}}{x} ? \) A \( 94 x^{2}+x+x y-1 \) B \( 92 x^{2}+3 x+x y-1 \) C \( \quad 2 x^{2}+92 x+y-1 \) D \( 2 x^{3}+92 x^{2}+2 x+x y-1 \) Katherine bought snacks for her team's practice. She bought a bag of chips for \( \$ 2.70 \) and \( 12- \) pack of juice bottles. The total cost before tax was \( \$ 15.78 \). Write and solve an equation which can be used to determine \( x \), how much each bottle of juice cost. Factor: \( \left(x^{2}-11 x+24\right) \) Under her cell phone plan, Nora pays a flat cost of \( \$ 35.50 \) per month and \( \$ 5 \) per gigabyte. She wants to keep her bill at \( \$ 42 \) per month. Write and solve an equation which can be used to determine \( g \), the number of gigabytes of data Nora can use while staying within he budget. A group of friends wants to go to the amusement park. They have \( \$ 116 \) to spend on parking and admission. Parking is \( \$ 10.25 \), and tickets cost \( \$ 35.25 \) per person, including tax. Which equation could be used to determine \( p \), the number of people who can go to the amusemen park? If \( f(x)=(x)^{2} \), what is \( f(-4) ? \) (1 point) \( 0-8 \) 8 16 0.16
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