Solving Equations with Rational Expressions
Name _
Solve the following equations by first eliminating denominators: (multiply through by a common
denominator)
1.
5
x 15
2
2.
1
3
x x 3
7
14
3.
x 2x
9
25
4.
xx1
8 7 56
5.
2
1
1
x x
5
10
5
6.
xx
4
43
7.
3a
Solving Equations with Rational Expressions
Worksheet
Name _
Solve the following equations by first eliminating denominators:
1.
5
x 15
2
2.
1
3
x x 3
7
14
3.
x 2x
9
25
4.
xx1
8 7 56
5.
2
1
1
x x
5
10
5
6.
xx
4
43
7.
3a 2a
5
2 11
8.
x
1
x
6
4
9.
32
5
a
Interest and Commission Handout
name _
1 ) H ow much interest is earned on a $45000 account at 3.5% for 4 years?
2 ) H ow many years would it take to earn $11200 in interest if you invest $20000 at
8 %?
3 ) M eg borrows $3000. How much interest is paid on
Discount, Tax and Tip Handout
Name _
Show all work including your proportion or equation, and answer in a sentence.
1) In a department store, a $40 dress is marked, "Save 25%." What is the discount? What is the sale price of
t he dress?
2) In a grocery st
Ratios, Rates, and Proportions Unit Notes
Ratio: A comparison of two numbers, often expressed as a fraction, should be left improper
(no mixed numbers or whole numbers, leave whole numbers over 1)
Example: If there are 14 boys and 12 girls, the ratio of b
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
PercentReview
Name_Date_
I. Estimate. Show your rounded problem as well as your estimate.
27% of 118
32% of 89
_
_
_
21% of 56
_
_
_
II. Solve,showyourproportionorequation,roundtothenearesttenthifnecessary.
1. W h a t is 1 8 % o f 6 2 0 =
_
_
_
_
2. 4 5 i
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. _
2/5_
Expre
Adding and Subtracting Rational Expressions
Worksheet
Name _
Add or Subtract the following rational expressions. Make sure your final answers are in lowest terms.
Remember, LCD is the same as LCM.
Show all work! (Find LCD, change numerators as needed, add
More Adding and Subtracting Rational Expressions
Worksheet
Name _
Add or Subtract the following rational expressions. Make sure your final answers are in lowest terms.
Remember, LCD is the same as LCM.
Show all work! (Find LCD, change numerators as needed
More Adding and Subtracting Rational Expressions
Worksheet
Name _
Add or Subtract the following rational expressions. Make sure your final answers are in lowest terms.
Remember, LCD is the same as LCM.
Show all work! (Find LCD, change numerators as needed
Interest and Commission Handout
name _
1 ) H ow much interest is earned on a $45000 account at 3.5% for 4 years?
2 ) H ow many years would it take to earn $11200 in interest if you invest $20000 at
8 %?
3 ) M eg borrows $3000. How much interest is paid on
Percent Application Problems All Types
Name _
1) Georgie has a bushel basket of apples to sell at her fruit stand. 1 out of every 5 cannot be sold because they
are not ripe yet. What percent of her apples are ripe?
2) Sean spelled 17 out of 20 words corre
Periodic Table
Samantha Cassidy
4/14/17
Directions: Use what you have learned in the lesson to answer each of the questions below. Be sure to
use complete sentences. You will need to refer to the periodic table to help you with some of the
questions.
Desc
Ross Program 2017 Application Problems
This document is part of the application to the Ross Mathematics Program, and is
posted at http:/u.osu.edu/rossmath/.
The Admission Committee will start reading applications on March 1, 2017, making
admission decisio
ALGEBRA I (COMMON CORE)
The University of the State of New York
REGENTS HIGH SCHOOL EXAMINATION
ALGEBRA I (Common Core)
Wednesday, August 12, 2015 8:30 to 11:30 a.m., only
Student Name:_
School Name: _
The possession or use of any communications device is
ALGEBRA I (COMMON CORE)
The University of the State of New York
REGENTS HIGH SCHOOL EXAMINATION
algebra I (Common Core)
Wednesday, August 17, 2016 8:30 to 11:30 a.m., only
Student Name:_
School Name:_
The possession or use of any communications device is
ALGEBRA I (COMMON CORE)
The University of the State of New York
REGENTS HIGH SCHOOL EXAMINATION
ALGEBRA I (Common Core)
Thursday, January 28, 2016 1:15 to 4:15 p.m., only
Student Name:_
School Name: _
The possession or use of any communications device is
Printable Math
Worksheets
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@[Go Back] Worksheet
Review Practice:
Distribution-Text Chapter 3 section 1 Unit 2 on Veracross
Multiply the number outside parenthesis times each term inside.
ex: 5(4x + 8) = 20x + 40
1)
Be sure you answer is in descending order 20x + 40 not 40 + 20x
3(x + 4)
3x + 12
15x 30
Reminders for Chapter 7
Set 1 Equations
1) Distribute, 2) combine like terms, 3) get rid of the variable on one side, 4) solve. (not
all of these steps are necessary every time.)
Multiply through for fraction problems (not the numbers in parenthesis)
If y
Multistep Equations Handout 4
Name _
1.
2
6 x 3 4 x 2
3
2.
2x 7
21
6
3.
0.7w 16 4w 27.28
4.
1
33
d d
2
45
5.
6 f 5 2 f 4
6.
2
5k 35 8 12
5
7.
2
1
5
x 1 x 3 x
3
2
6
8.
4
17
x ( x 2) 1
5
2 10
9.
The perimeter of a pool table is 30 ft. The table is twice a
Handout 2 - Multistep Equations
Name _
1.
24 6m 1 18
2.
7k 8 2k 12 52
3.
2 x 3 4 x 39
4.
33a 3 6 81
5.
20 4 f 6 14
6.
9a 4 33a 11
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