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Home Question Bank Math Pre Algebra Archive 2025 January 22

Pre-algebra Questions from Jan 22,2025

Browse the Pre-algebra Q&A Archive for Jan 22,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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(a) \( \frac{1^{1011}}{2011^{-1}} \) (b) \( (0,125)^{-8} \) (c) \( \frac{6.2^{-2}}{-3^{-3}} \) Analyze the graphs \( j(x)=-1.5 \sqrt{x-7}+2 \) and \( p(x)=-1.5 \sqrt{x-4}+2 \). Which option correctly describes the transformation to take \( j(x) \) to \( p(x) \) ? (1 point) shift down 3 units shift left 3 units shift up 3 units shift right 3 units Evonerv \( \quad \) Evaluate \( { }_{12} C_{3} \) (a) \( \frac{1^{2011}}{201-1} \) (b) \( (0,125)^{-8} \) (c) \( \frac{6 \cdot 2^{-1}}{3^{-3}} \) Simplify 1. \( \sqrt{108} \) 2. \( \sqrt{99} \) 3. \( \sqrt{75} \) 4. \( \sqrt{125} \) 5. \( \sqrt{300} \) The function \( y=x^{2} \) is translated to the left 2 units to form the function \( y=(x+2)^{2} \). The inverse would be translated 2 units in which direction? Use the response options as follows: Response \#1: left Response \#2: right Response \#3: up Response \#4: down (1 point) The best answer to the question is Option \# Seventh grade S.1 Properties of addition and multipication Which property of multiplication is shown? \[ (9 \times 7) \times 5=9 \times(7 \times 5) \] associative commutative Seventh grade S. 1 Properties of addition a Which property of addition is sho \[ \begin{array}{c}1+(3+4)=(1+3)+4 \\ \text { associative } \\ \text { commutative }\end{array} \] Which property of multiplication is shown? \[ \begin{array}{c}8 \times(3 \times 1)=(8 \times 3) \times 1 \\ \text { associative } \\ \text { commutative }\end{array} \] Analyze the effect on the graph from \( k(x)=3 \sqrt{-4(x-3)} \) to \( b(x)=3 \sqrt{8(x-3)} \). Find the factor of horizontal compression and the correct reflection line. (1 point) The function horizontally compresses by a factor of \( \square \) and reflects over the line \( x=\square \).
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