Algebra 1 Common Core Student Edition, Grade 8-9

Reasoning Determine whether each statement is always, sometimes, or never

true for real numbers a and b. Explain.

51. f = 2 52 &-ab

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Look back at th e inform ation on page 663 ab o u t S andra’s plans for a new lunch

box. S andra’s diagram of th e lu n ch box is show n again below.

w

a. W hat is an algebraic expression for th e volum e of the box? W rite an equation

th a t relates this expression to th e given volum e, 355 in.3.

b. Solve for w in th e equ atio n from p a rt (a).

c. Write an expression in term s of x a n d w to re p resen t th e surface area of the

lunch box.

d. Substitute for w in the expression for th e surface area of th e lu n c h box, using your

result from p art (b). Simplify th e expression.

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