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Home Question Bank Math Algebra Archive 2025 January 13

Algebra Questions from Jan 13,2025

Browse the Algebra Q&A Archive for Jan 13,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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g) \( 1-8: x: 2 x-5 \) are the first three terms of an arithmetic sequence. \( \begin{array}{ll}\text { (1) Determine the value of } x\end{array} \) \( \begin{array}{ll}\text { (3) Determine the value of the } 115^{\circ} \text { term. } \\ x+1: 2 x ; 5 x+5 ; \ldots \text { is an arithmetic sequence } \\ \text { h) Determine the general te } \\ \text { (1) Determine the value of } x \text {. }\end{array} \) pari were 235 more red balloons than green balloons at a party After \( \frac{4}{5} \) of the red paons and \( \frac{3}{4} \) of the green bolloons burst, there wore 92 balloons lell. How many poloons were there allogether at first? A car travels along the highway to Yuma at a steady speed. When it begins, it is 400 miles from Yuma. After 7 hours, it is 50 miles from Yuma. Which function describes the car's distance from Yuma? A. \( y=-10 x+400 \) B. \( y=350 x-400 \) C. \( y=-50 x+400 \) D. \( y=50 x+400 \) 9. Which of the following ordered pairs is a solution to the system of equations? Select all that appl \( \begin{array}{llll}y=5 x-5 \\ x-2 y=19 & \text { A. }(-1,-10) & \text { B. }(-2,13) & \text { C. }(7,-6) \\ x & y & \times 4\end{array} \) Solve the system of equations by graphing. \[ \left\{\begin{array}{l}y=4 x-3 \\ y=-x+7\end{array}\right. \] Expand the expression to a polynomial in standard form: \[ \left(2 x^{2}+3 x+2\right)\left(2 x^{2}-3 x+6\right) \] Expand the expression to a polynomial in standard form: \[ \left(3 x^{2}+x-4\right)\left(x^{2}-x+4\right) \] 5. \( n\left({ }_{10} P_{2}\right)={ }_{10} C_{8} \). Solve for n. Algebraic work must be shown. (b) \( 6 x y z<y z(y+z)+z x(z+x)+x y(x+y) \) 3. Solve for the variable. Algebraic work must be shown. \( { }_{"} C_{s}=252 \)
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