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Home Question Bank Math Algebra Archive 2024 November 16

Algebra Questions from Nov 16,2024

Browse the Algebra Q&A Archive for Nov 16,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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a) \( 2 \boldsymbol{r}+1=2(\boldsymbol{r}+2) \) 11. \( \left(\frac{3}{2} y-\frac{1}{3} x\right)\left(-\frac{4}{5} x-\frac{1}{2} y\right) \) Rewrite the following equation in slope-intercept form. \[ 18 x-5 y=-4 \] Rewrite the following equation in slope-intercept form. \[ 6 x-5 y=-2 \] (4) On pose \( S=u_{1}+u_{2}+\ldots+u_{31} \). a) Que représente cette somme ? b) Montrer que \( S=10000(1+2+\ldots+31) \). c) On note \( S^{\prime}=1+2+\ldots+31 \). En remarquant que \( S^{\prime}=31+30+\ldots+1 \), montrer que \( 2 S^{\prime}=31 \times 32 \). d) En déduire la valeur de \( S^{\prime} \) puis celle de \( S \). Rewrite the following equation in slope-intercept form. \[ 4 x-15 y=8 \] 7. ¿Cuál es el grado absoluto del monomio \( 10 a^{2} b^{3} c^{6} \) \(IMU SYLE\& IEAB Module Review Term 32024 Question 4 Twelve years ago Jack was five times as old as Jill. In 3 years' time Jill will be half of Jack's age. What are Jack and Jill's present ages? (3 marks) HINT: Complete the table cells by inserting the appropriate expression into each cell. The information to do this is contained in the question above. These expressions can then help you develop the two equations to solve. \begin{tabular}{|l|l|l|l|} \hline & Age Now & Age 12 yrs ago & Age in 3 yrs \\ \hline Jack's age & & & \\ \hline Jill's age & \multicolumn{3}{|l|}{} \\ \hline \end{tabular} \) 3. Multiple Choice Which system of linear equations has no solution? \( \begin{array}{ll}\text { (F) } 7 x+y=10 & \text { (G) } \begin{array}{l}2 x-y=7 \\ 3 x-2 y=-3\end{array} \\ \begin{array}{ll}2 x-y=-7 \\ \text { (H) }) \\ 6 x-2 y=8 & \text { (J) } \begin{array}{l}x+y=-5 \\ -3 x+y=-4\end{array} \\ x+2 y=-9\end{array}\end{array} \) x e y sāo tais que \( \left\{\begin{array}{l}2^{3 x+4 y}=16 \\ 5 x+7 y=8\end{array}\right. \), entâo \( x^{2}+y^{2} \) é igual a
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