# Algebra 1 Common Core Student Edition, Grade 8-9

(Marvins-Underground-K-12) #1

1. Earth Science The air tem p eratu re b e n e a th Earth's surface increases
by ab o u t 10°C p er kilometer. The surface tem p eratu re a n d th e air
tem p eratu re at th e b o tto m of a m ine are show n. How m an y kilom eters
below Earth's surface is the b o tto m of th e m ine?

2. Car-Sharing Program M em bers of a car-sharing program pay a fee of
\$50 p e r m o n th plus \$7.65 for every h o u r they use a car. A m em b er's bill
was \$149.45 last m onth. How m any h ours did th e cu sto m er use a car
last m onth?

``````Challenge 61. Word Processing You form at a d o c u m en t in th ree colum ns of equal
w idth. The d o cu m en t is 8.5 in. wide. You w a n t left an d right m argins
of 1 in. each. B etw een th e colum ns th ere is a "gutter" th a t is one eighth as wide as
each colum n. W hat is the w idth of each colum n?``````

``````Tell whether each equation has a solution. If so, find the solution. If not, explain
why not.
2``````

``````Bottom o f mine: 38°C
N o t d ra w n t o scale
c``````

``\< S?``

1. 2 x - 0 = 0 63. 0(—2x) = 4 64. 0 65.

St a n d a r d i ze d Test Pr ep GRIDDED RESPONSE

SAT/ACT 66. William ’s age w an d Jam ie’s age j are related by th e eq u a tio n w = 2/ — 12. W hen
William is 36.5 years old, how old is Jamie?

1. D om inique p ain ts faces at an an n u a l carnival. H er goal this year is to ea rn \$100.
She spends \$15 on supplies an d will w ork for 2.5 h. How m u ch will she n e e d to earn
in dollars p er h o u r in o rder to reach h er goal?

``````68. The cost of a gallon of milk m is \$.50 m ore th a n five tim es th e cost of a gallon of
water w. If a gallon of m ilk costs \$3.75, w h at is th e cost of a gallon of water?``````

Mixed Review

``Solve each equation.``

1. -5 x = -25 70. 7 = 3.2 +y 71. £ = 36

``See Lesson 2-1.``

1. z- 2 = 4.5

Tell whether each statement is true or false. If it is false, give a counterexample. ^ See Lesson 1-4.

1. The difference of the absolute value of two n u m b e rs is th e sam e as th e difference of
the two n u m b ers them selves.

2. Adding 1 to a n u m b e r always increases its absolute value.

``````Get Read y! To p r e p a r e fo r Lesson 2 - 3 , d o E xercises 7 5 - 7 8.
Simplify each expression.
75.7(5 -t) 76. -2 (-2 x + 5 ) 77. -3(2 - b)``````

``See Lesson 1-7.``

1. 5(2 - 5n)

c

``PowerAlgebra.com | Le sso n 2 - 2 So l v i n g Tw o - St e p Eq u a t i o n s^93``