Unit 4 Pre-Algebra: LCM, Add-Sub & 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

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

Average Problems
1)
Name _ Date _
Robert has scores of 88, 85, 80, and 85 on four tests. What is the least number of points he can
get on his fifth test to have an average of at least 88?
Define Variable _Equation/Inequality_
Answer _
2)
Ben weighs 128, C

More Word Prob-Mixed Types Write an equation or inequality for each problem and solve.
1)
You buy pencils for $.75 each and a notebook for $2.35. How many pencils can you buy with
$10.00?
Define the variable _Equation or inequality _
Answer _
2)
Nate has

Distance problems (rt=D)
Name _ Date _
Define the variable, write and equation or inequality and solve. Answer in a Sentence.
1)
2)
The Smiths are driving from Raleigh to Disney World for vacation, over 600
miles away. If they stop for lunch (30 minutes)

Word Problems Mixed Types
Names _ Date _
1)
Nate has scores of 93, 90, and 98 on his first three tests. What is the lowest score
he can get on his fourth test to have an average of at least 95?
2)
Ben hikes at 8 miles per hour, he stops for 45 minutes for

Word Problems Mixed Types
Names _ Date _
1)
Nate has scores of 93, 90, and 98 on his first three tests. What is the lowest score
he can get on his fourth test to have an average of at least 95?
2)
Ben hikes at 8 miles per hour, he stops for 45 minutes for

Extra Practice Chapter 7 Profit problems
1)
The PTA sells cookbooks for $12.50 each. The costs for the books are $250 for
print set up plus $2.80 for each book. If they order 500 cookbooks, how many do
they need to sell to make a profit of at least $4000?

Distance problems (rt=D)
Name _ Date _
Define the variable, write and equation or inequality and solve. Answer in a Sentence.
1)
The Powells are driving from Raleigh to Disney World for vacation, over 600
miles away. If they stop for lunch (30 minutes) an

Word Problem Practice for Fridays Quiz (2/15) Name _
Define a variable, write and equation, solve, and answer.
1)
You buy 4 pencils and a $12.95 book. Meg bought 7 pencils and a $5.00 USB
drive and a $5.70 package of pens. They both spent the same amount.

Work Problems rt + rt = 1 (or more
if they do multiple jobs)
Two people, machines, etc will work together to compete a job.
x = time
Each person can do a fraction of the job per unit of time, so
each r is a fraction
Ex:Krystalcanwaxafloorin2hours.Herfrien

Commission Problems Name _
1) Jake makes $3500 a month plus 12% of his monthly sales. How much does he need to sell to make at
least $5000/mo?
DefineVariable_Equation/Inequality_
Answer_
2) Blake makes $2000 a month plus 20% of his monthly sales. How much

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

Word Problem Practice for Fridays Quiz (2/15) Name _
Define a variable, write and equation, solve, and answer.
1)
You buy 4 pencils and a $12 95 book. Meg bought 7 pencils and a $5.00 USB
drive and a $5.70 package of pens. They both spent the same amount.

Profit Problems
Name _
1) The SGA is selling drinks at the concession stand. They bought 20 cases (24 cans each) of
soda for $4.99 each and a cooler and ice for $12.95. If they sell drinks for $1.50 each how many
drinks do they have to sell to make $500
D

Profit Problems
Name _
1) The SGA is selling drinks at the concession stand. They bought 20 cases (24 cans each) of
soda for $4.99 each and a cooler and ice for $12.95. If they sell drinks for $1.50 each how many
drinks do they have to sell to make $500
D

Solving Equations with Rational Expressions
Name _
Solve the following equations by first eliminating denominators: (multiply through by a common
denominator)
1.
5
7
x=
2
8
2.
1
3
x=3
7
14
3.
7 2x
+ =9
2 5
4.
x 3 1
- =
8 7 56
5.
2
1
1
x+ x =
5
10
5
6.
x x

Word Problem Practice for Fridays Quiz (2/15) Name _
Define a variable, write and equation, solve, and answer.
1)
You buy 4 pencils and a $12.95 book. Meg bought 7 pencils and a $5.00 USB
drive and a $5.70 package of pens. They both spent the same amount.

Multistep Equations Handout 4
Name
_
1.
3.
2.
4.
5.
7.
6.
8.
9.
The perimeter of a pool table is 30 ft. The table is twice as long as it is wide. What is the
length of the pool table?
10.
Two angles are congruent (they are the same measure). One angle is

Handout 3 Multistep Equations
Name _
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
Define a variable, write and equation and solve.
5.
Two times the sum of a number and two is the same as five less than five times the number.
What is the number?
7.
Two angles fo

Handout 3 Multistep Equations
Name _
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
Define a variable, write and equation and solve.
5.
Two times the sum of a number and two is the same as five less than five times the number.
What is the number?
7.
Two angles fo

Handout 2 - Multistep Equations
Name _
1.
2.
3.
4.
5.
6.
7.
3(x + 7) + 5x = 2x (x + 9)
8.
4(x 8) + 2x 7 = 6x 39
9.
Four times the sum of a number and six decreased by 12 is equal to five more than three times
the number. What is the number?
10.
Two angles

Pre Algebra Ch 7 Test Review
Name _
Date _ Per _
Solve the following equations. Leave rational answers as reduced fractions.
1.
5 y +12 =3 y
2.
7 x - 20 =2 x
3.
14 +5c =8 +c
4.
3 ( x +3) =7 ( x - 4 )
5.
2
1
x +6 = x - 8
5
2
6.
3
( 3 y - 2) = y
8
7.
- 1( 4

Solving Equations with Variables on Both sides
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) If there are variabl

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.

Pre Algebra Test Review2
Chapter
Name _
Date _ Per _
Solve the following equations. Leave rational answers as reduced fractions.
1.
3 +4 x =12 +x
_
2.
2 x +6 =5 x
3.
1
1
x - 4 = x +7
6
3
_
4.
3
( x +2 ) = x
8
5.
4 ( x - 9 ) =- 2 ( x +6 )
_
6.
- 3 ( 2 x -