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Home Question Bank Math Pre Algebra Archive 2024 December 31

Pre-algebra Questions from Dec 31,2024

Browse the Pre-algebra Q&A Archive for Dec 31,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Use the distributive property to fill in the blanks below. \[ 7 \times(9+5)=(7 \times \square)+(7 \times \square) \] Find each of the numbers below. Simplify your answers as much as possible. The opposite of \( 0: \llbracket \square \) The opposite of \( -6: \square \) The opposite of the opposite of \( -10: \square \) Based on your answers above, compare the numbers below using \( <,> \), or \( = \). \[ \begin{array}{l} \frac{7}{10} \square 0.7 \\ 65 \% \square \frac{7}{10} \end{array} \] Frank's desk had \( \frac{11}{12} \) grams of dust on it. He wiped away \( \frac{1}{12} \) grams of the dus How many grams of dust are left on his desk? Write your answer as a fraction in simplest form. (1) \( 3: 5=30: ? \) MATHS I Brain Teaser - Think and Solve. Tania is decorating her bedroom. She is going to use only two - different coloured balloons. She can choose from 6 colours red, green, pink, orange, blue and silver. How many different colour combinations can she choose from? Which operation should you do first? \( \begin{array}{llll}\text { 3. } 6-2 \times 2 & \text { 4. } 33-(4+6) & 5.6 \times(2-5) & 6.7+4 \times 3\end{array} \) Marhematics Assignment for Grade 12. December 15/04/2017 E.C. Instructions: - Workout the following problems with the necessary steps with clear and legible hanawriting. - Wrife your group number, full name with their Roll NO. 1. The number of terms in an arithmetic progression is even. The sum of the odd terms is 24. If the sum of even terms is 30 and the last term exceeds the first by \( \frac{21}{2} \) then find the number of terms. 2. If \( a^{2}+b^{2}, a b+b c \) and \( b^{2}+c^{2} \) are in geometric progression, prove that \( a, b, c \) are also in geometric progression. 3. Let \( f(x)=\left\{\begin{array}{r}4 x, x \geq 3 \\ x^{2}+3,\end{array}\right. \) x \( <3 \), find the equation of the tangent line and the normal line to the graph of \( f \) at the point \( (4,16) \). 4. Find the maximum possible area of an isosceles triangle whose perimeter is 6 m . 5. Given \( f(x)=\sqrt{12-x-x^{2}},[-4,3] \) find: a) absolute maximum. b) abrotute minimum. Express \( 2 . \dot{8} \dot{3} \) as a fraction leaving it in the form \( \frac{\mathrm{p}}{\mathrm{q}} \) Which term of the sequence \( \frac{1}{4} ;-1 ;-2 \frac{1}{4} ; \ldots \) is equal to \( -13 \frac{1}{2} ? \)
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