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Home Question Bank Math Pre Algebra Archive 2025 January 07

Pre-algebra Questions from Jan 07,2025

Browse the Pre-algebra Q&A Archive for Jan 07,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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g) \( \left(\frac{2}{3}\right)^{3} \cdot\left(\frac{4}{5}\right)^{-1}:\left(\frac{1}{6}\right)^{2} \) Tamara es la madre de Mateo. Hoy han salido a dar un paseo y han acabado midiendo los pasos que da cada uno y comparándolos. Pilar, como es mayor, da un paso de 7 dm . Si han calculado que el paso de Mateo tendría que haber sido 3 dm más largo para igualar al de su madre, ¿Cuánto mide el paso ie Mateo? DATOS 10 Are the following ordered pairs a function? \( (-2,1)(3,-4)(-2,-6) \) 9 Are the following ordered pairs a function? \( (9,-5)(4,-5)(-1,7) \) \( \square \) 24. \( \sqrt{10^{2}-8^{2}} \) The graph of \( f(x)=|x| \) is transformed to \( g(x)=|x+1|-7 \). On which interval is the function decreasing? \( (-\infty,-7) \) \( (-\infty,-1) \) \( (-\infty, 1) \) \( (-\infty, 7) \) A sequence is defined recursively using the formula \( f(n+1)=f(n)-5 \). Which sequence could be generated using this formula? \( \begin{array}{l}1,-5,25,-125, \ldots \\ 2,10,50,250, \\ 3,-2,-7,-12 \\ 4,9,14,19,\end{array} \) Nina graphs the function \( y=\{x \mid \) to learn the properties of the parent floor function. What is the value of \( y \) when \( x=5.7 \) ? 5 5.50 5.75 6 ? 1. Write down the next four terms of each \( \begin{array}{lll}\text { (i) } 3,5,7,9,11, \ldots & \text { (ii) } 2,5,8,11,14, \ldots & \text { (iii) } 4,8,12,16,20, \ldots \\ \text { (iv) } 20,18,16,14, \ldots & \text { (v) } 50,45,40,35, \ldots & \text { (vi) } 12,8,4, \ldots\end{array} \) 2. Write down the next three terms of each of these sequences: \( \begin{array}{lll}\text { (i) } 1,1.5,2,2.5, \ldots & \text { (ii) }-10,-8,-6,-4, \ldots & \text { (iii) } 2,6,18,54, \ldots \\ \text { (iv) }-\frac{1}{2}, 1,2 \frac{1}{2}, 4, \ldots & \text { (v) }-40,-20,-10, \ldots & \text { (vi) } 6,3,0, \ldots\end{array} \) Lesson 22 Classwork If an object is moving at a constant rate of speed for a certain amount of time, it is possible to find how far the object went by multiplying the rate and the time. In mathematical language, we say, distance \( = \) rate \( \cdot \) time. Example 1 Walker: Substitute the walker's distance and time into the equation and solve for the rate of speed. distance \( = \) rate \( \cdot \) time \[ d=r \cdot t \]
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