math chapter 2 Quest review problems

Identify the hypothesis and the conclusion If it is sunny outside, then I will take a walk

Hypothesis: If it is sunny outside Conclusion: Then I will take a walk

Find the counterexample " If the product of two integers is positive, then both integers must be positive "

The product of two negative integers is positive -3 x -4 = 12

Complete the following proof 2(x-12) = 40 --- Given 2x-24=40 --- ? 2x=64 --- ? x=32 --- ?

a) distributive b) addition c) division

name the property that justifies each statement a) if 3x = 15 then x = 5 b) if AB = CD, then CD = AB c) m < A = m<A d) if A = B, and B = C, then A = C e ) if 3x + 4 = 16, then 3x= 12

a) division b) symmetric c) reflexive d) transitive e) subtraction

write a two column proof given; <QWT and < TWX are complementary prove: x=28

statement --- given < QWT and <TWX are complementary --- Given m<QWT + m<TWX = 90 --- Def of Complementary 2x+x+6=90 --- Substitution 3x+6=90 --- combine like terms 3x=84 --- subtraction x=28 --- division

write a two column proof given; 3x+1+2x=21 prove; x=4

statement --- reason 3x+1+2x=21 --- given 5x+1=21 --- combine like terms 5x=20 --- subtraction x=4 --- division

Complete the following pattern 2,6,18,54 -- , --

x3 every time 162, 486

given the pattern a,b,c,a,b,c find the following terms ; 30th, 100th, 41st

30th - c 100th - a 41st - b

solve for x 3x - 10 , 2x + 12

3x-10 = 2x + 12 X = 22