Review 1
Ratio, Proportion, Percent
Name _ Date _
Express each ratio as a fraction in simplest form. Change to same units if possible.
1.
8 pencils to 12 pens
1. _
2.
75 cats to 100 dogs
2. _
3.
16 oz. to 5 cups
3. _
4.
30 feet to 11 yards
4. _
Express ea
Commission Problems Name _
1) Jake makes $3500 a month plus 12% of his monthly sales. How much does he need to sell to make
$5000/mo?
DefineVariable_Equation/Ineqiulity_
Answer_
2) Blake makes $2000 a month plus 20% of his monthly sales. How much does he
Kuta Software  Infinite Algebra 1
Name_
Work Word Problems
Date_ Period_
Solve each question. Round your answer to the nearest hundredth.
1) Working alone, Ryan can dig a 10 ft by 10 ft
hole in five hours. Castel can dig the same
hole in six hours. How l
Write an equation or inequality for
each problem and solve.
4)
Your house is 10 miles from the
library. You want to jog to the
library, read for 2 hours , then
jog back. How fast do you need
to run, if you want to spend no
more than 6 hours total?
8)
3)
Y
Wordproblemsallspecialtypes(othersarejusttranslations)
# done (often 1)
# done (often 1)
x+
x =# to complete together (often 1)
how much time
how much time
Pre Algebra Quiz Ch 7
Name _
Date _ Per _
Solve the following equations. Leave rational answers as reduced fractions.
1.
4 x  8 = x +25
3.
1
2
x  2 = x +4
3
5
5.
 8 ( x  2 ) =4 ( 7  x )
_
_
_
2.
5 x +12 =3 x
4.
3
( 10 x  15) =x
5
_
6.
 3 ( 2 x +4 )
Unit 4 PreAlgebra: LCM, AddSub & Equations w/Algebraic Fractions
Essential Questions: What is proportionality is everything proportional?
How do I use proportionality to solve problems and make predictions?
How do I use percent in an equation or proport
ExponentRules:
a=anynumber,nandmareexponents
n
m
_
a (a ) =a
Example:_
n
a
_
=a
m
a
Example:_
n m
(a ) =a
_
Example:_
Remember:
n
m cannotbecombined
a +a
n
n
a +a =2a
n
Theexponentdoesntchangewhenaddingliketerms.
Translation Examples
1. Eleven less than a number n
2. Eight less than a number k divided by nine
3. The sum of 25 times a number w and ten
4. A number multiplied by five and increased by 3
5. Eighteen decreased by 4 times a number
6.
The sum of 3 times a
Pre Algebra Integer Quiz
Name _
Date _ Per _
1.
9 x +2 x =_
7.
 9 x   2 x =_
13.
9x
=_
18 x
2.
 9 x +2 x =_
8.
9 x   2 x =_
14.
 9x
=_
 18 x
3.
 9 x + 2 x =_
9.
( 9 x ) ( 2 x ) =_
15.
 18 x
=_
9x
4.
9 x + 2 x =_
10.
(  9 x ) ( 2 x ) =_
16.

Solving Equations with Simplifying
1) If there are parenthesis, distribute first
20
ex:
4(3x 7) =
12x 28 = 20
2) If there are like terms on the same side of the = combine them
ex: 3x 6 5x = 10 (combine 3x 5x)
2x 6 = 10
3) Use inverse operations to solve.
Work Word Problems Name_Date_
Solve each question. Round your answer to the nearest minute, if necessary.
1) Working alone, Bradley can dig a 6 ft by 12 ft hole in five hours. Evan can dig the same hole in six
hours. How long would it take them if they wo