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
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 )
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
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.

PreAlgebra Review Chapter 9
Name _ Per _ Date _
Place an X under the set name or names to which the number belongs:
Natural
Whole
Integer
Rational
Irrational
Real
2
3
1.
2.
12
3.
2
4.
0
5.
106
Estimate the degree measure of the following angle. Then lab
PreAlgebra Review Chapter 9
Name _ Per _ Date _
Place an X under the set name or names to which the number belongs:
Natural
Whole
Integer
Rational
Irrational
Real
1.
8
2.
X
X
3
5
X
4.
X
X
3. .454545.
X
X
X
5.
6.
3.14
7.
0
10
X
10. .
X
X
X
X
X
X
X
X
X
X
Notes  Triangles (classifying and angle
measures)
Equilateral
Triangle
A triangle with
all sides
congruent (it is
also isosceles)
Isosceles
Triangle
A triangle with at
least two
congruent sides
Scalene
Triangle
A triangle with
sides of different
lengths
Guided Notes  Real Numbers and
Square Roots
Number Sets
Natural Numbers  whole, positive, not zero
Whole Numbers whole, positive, and zero
Integers whole, positive, negative or zero
Rational numbers includes all of the above,
and fractions and decimals
Distance and
Midpoint
Distance Formula
Used to find the
distance between
2 points on a
coordinate plane
Example find the
distance between the
points (4, 3) and (5, 0)
( 4 5)2 (0 3)2
(x2 x1)2 + (y2 y1)2
( 9)2 ( 3)2
given two po int s
81 9
(x1 , y1 )and (x