Keisha solved the following equation: 4x − 2x + 8 = 6(x + 4)

StepWorkJustification
1 2x + 8 = 6(x + 4)Combine like terms
2 2x + 8 = 6x + 24Associative Property of Multiplication
3−4x + 8 = 24Subtraction Property of Equality
4 −4x = 16Subtraction Property of Equality
5 x = −4Division Property of Equality

Which step has an incorrect justification?
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He mass of a single atom of carbon can be found by dividing the atomic mass (12.01 g) by 6.022 x 10^23. which is the mass of a single carbon atom, correctly written in scientific notation with the correct number of significant figures?

Which equation represents a direct linear variationa. y=x2b. y=2/5xc. y=1/xd. y=x+3

More challenges: 1) factor out the indicated quantity.8mn² + 7mn - m : factor out the quantity -m2) factor the polynomial by grouping.2vw + 7cv + 14cw + 49c²3) factor completely using the difference of squares along with factoring by grouping.25v³ - 25v² - 4v + 44) factor the sum of cubes. 125x³ + 645) q³ + 27r³6) factor completely. use difference of squares.729p^6 - 6^67) solve the equation(7x + 4)(9x - 1) = 08) a. find the values of x for which f (x) = 0b. find f (0)f (x) = x² + 2x - 489) find the x and y-intercepts for the function defined by y = f (x)f (x) = (x + 3)(x + 4)(x - 1)²10) factor the trinomial completely by using any method. remember to look for a common factor first. 3v² - 2v - 16