Drexel dragonThe Math ForumDonate to the Math Forum

Ask Dr. Math

Middle School Archive

_____________________________________________
Dr. Math Home || Elementary || Middle School || High School || College || Dr. Math FAQ
_____________________________________________

TOPICS
space
This page:
  algebra checkmark

  Search
  Dr. Math

See also the
Dr. Math FAQ:
  order of operations

Internet Library:
  basic algebra

T2T FAQ:
  algebra help



MIDDLE SCHOOL

About Math

Algebra
   equations
   factoring expressions
   graphing equations

Arithmetic
   division
   exponents
   factorials
   factoring numbers
   fractions/percents
   logarithms

Definitions

Geometry
   2-dimensional
     conic sections/
       circles
     triangles/polygons
   3D and higher
     polyhedra

History/Biography
Logic

Measurement
   calendars/
     dates/time
   temperature
   terms/units

Number Sense
   factoring numbers
   negative numbers
   pi
   prime numbers
   square roots

Probability
Puzzles
Ratio/Proportion
Statistics
Word Problems

Browse Middle School Algebra
Stars indicate particularly interesting answers or good places to begin browsing.

Selected answers to common questions:
    Direct and indirect variation.
    Inequalities and negative numbers.
    Positive/negative integer rules.
    Solving simple linear equations.



One Variable Equations [04/26/1997]
How do you solve 14 = 7d - 2 + d?

Operator Precedence [08/13/2003]
Since the following statement is true: (1+1)**(5-2) is 8, why is the following statement true and not false: 2**1+1 is 3 and not 4, and 3*1**3 is 3 and not 27...' ?

Orange and Grape Sodas [08/24/2002]
Douglas bought a total of 50 cans of orange and grape sodas. He bought 12 more cans of grape than orange. How many of each did he buy?

Ordering Exponents and Variables [04/08/2000]
Is there a rule for putting terms in descending order if the variables have the same exponent? What about negative exponents and descending order?

Order in Linear Expressions [11/20/2001]
Can you give me a convincing argument as to why, in an equation such as y=13-7x, where y is a function of x, it should be written as y=-7x+13?

Order of Addition, Subtraction [9/5/1996]
If an equation has both addition and subtraction in it, which do I solve first?

Order of Algebraic Operations [5/25/1995]
How do I solve: (9*4-7*5+6*7-10)/( 6/6+7*3-4*3-9) and 2+2*3-(2/2)*(4-3)+1 ?

Order of Operations [05/19/1999]
Given a, b, x, and y, find ax/by.

Order of Operations and Square Roots [10/09/2009]
At what step in the order of operations (PEMDAS) does one work out a square root? Is it an exponent?

Order of Operations Dispute [09/26/2000]
The problem reads: N divided by (division sign)ml where n=12, m=6, and l=3. I believe the correct answer should be .6666, as 12 divided by 18 equals this...

Order of Operations for Solving Equations [10/12/1995]
How would you multiply a question like this: -2(x-y)^2?

Order of Operations in an Equation [9/13/1995]
Let c = 4. Find: 16 divided by 2c. Is the answer 2, since 16 divided by 8 is 2, or is it 32 because order of operations tells us to multiply or divide from left to right?

Order of Operations: Negative Sign, Parenthesis [8/25/1996]
How do I explain why (-2)^2 = 4 and -2^2 = -4?

Order of Operations: Polynomials and Exponents [9/10/1996]
I'm stuck on 3*5-4^2, (3*5-4)^2, -6^2*2, (-6*2)^2 .

Order of Operations without Parentheses [8/3/1996]
How do you solve a problem like 21+82-59+29*86*66/50*7/87?

Order of Operations with Parentheses [08/04/2001]
I know the answers to the problems but not how to get the answers.

Order of Operations with Percentages [04/05/2001]
Why does the order of operations exclude percentage, square roots, etc.?

Origin of the word Quadratic [04/07/1998]
Why is a second degree polynomial called quadratic?

Parallel and Perpendicular Lines [01/14/1999]
How do you tell without graphing whether the graphs of these equations are parallel, perpendicular, or neither?

Parallel Lines [12/31/1998]
What are some ways of proving lines parallel - geometrically and algebraically?

Parallel Lines [9/3/1996]
The lines y=kx+4 and 3y=(k+3)x-5 are parallel. Find k.

Parentheses from the Inside Out [03/03/2003]
I don't understand order of operations and evaluating expressions.

Pascal's Triangle Pattern [04/22/1999]
What pattern does multiplying each entry by 1, 2, 3, 4, 5... in order, and adding the products yield?

Passing Cyclists [08/31/2003]
Two cyclists ride on the same road in opposite directions, passing each other twice...

Percentage Increase in Cost of Eggs [8/4/1996]
When eggs went from 17 to 39 cents, by what percent did the price increase?

Plus or Minus Sign [03/08/2002]
What does this equation mean: y = +- k ? The - sign is directly under the + sign.

Polynomial Factoring Rules [04/02/1997]
How do I apply the polynomial factoring rules to t^21+1 and 25y^2-144 = 0?

Polynomials with x [9/10/1996]
How do I solve problems like 3x-x(3-5x)=(5x-2)(x+4)?

Population and Percentage [03/07/1999]
Given population data, find the number of women in two different years.

Positive Domains [5/19/1996]
What are the values for x in x > -2 when the domain is positive?

Pre-calculus Extra Credit Projects [6/5/1996]
A high school pre-calculus student asks for suggestions for an extra credit project.

Precedence of Unary Operators [09/01/99]
The PEMDAS rule for order of operations ignores unary operators. Can you explain the proper precedence for them, and give an example showing how not knowing the rule can cause an incorrect result?

Price Plus 1/2 Price [12/05/2001]
A puzzle book costs $5.00 plus one-half of its price. How much does the puzzle book cost?

Probate Puzzle [12/15/2003]
A will specifies that every son should receive three times as much as a daughter and every daughter should get two times as much as their mother. What is the mother's share?

Problem about Rain [09/20/2000]
During a recent span of time, 11 days had some rain... How many days had no rain at all?

Problem Solving and Mental Process [10/03/2002]
Two numbers add up to 19. The difference between the two numbers is 3. What are the numbers?

Proof That All Numbers Are Equal? [12/06/2005]
I saw a proof that all numbers are equal, which makes math pointless. There must be something wrong with the proof. Can you tell me what?

Quadratic Equation [6/22/1996]
What is a quadratic equation used for?

Quadratic Equation [8/28/1996]
What is the formula for the quadratic equation?

Quadratic Equation [04/08/1997]
The sum of two numbers is 15 and their product is 54. Find the numbers...

Page: [<prev]  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 [next>]

Search the Dr. Math Library:

Search: entire archive just Middle School Algebra

Find items containing (put spaces between keywords):
 
Click only once for faster results:

[ Choose "whole words" when searching for a word like age.]

all keywords, in any order at least one, that exact phrase
parts of words whole words


[Privacy Policy] [Terms of Use]

_____________________________________
Home || The Math Library || Quick Reference || Search || Help 
_____________________________________

© 1994-2014 Drexel University. All rights reserved.
http://mathforum.org/
The Math Forum is a research and educational enterprise of the Drexel University School of Education.The Math Forum is a research and educational enterprise of the Drexel University School of Education.