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MIDDLE SCHOOL
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equations
factoring expressions
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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.
 Swimming Lengths [03/05/1997]

Together, Raoul, Tammy, and Nathan swam 39 lengths of the pool. If each
swam the same number of lengths, how many lengths did each swim?
 Swiss Chocolates, Lollipops, Gumdrops [02/10/2003]

You have $100 and must buy 100 pieces of candy...
 Translating Words into Math [3/8/1995]

We are doing story problems. I need help on understanding them so that I
can solve them by myself. I am stuck on one particular problem: The
number is decreased by 1/3 of the number. The result is 62. Find the
number.
 Two Methods of Factoring Quadratics [04/14/1998]

Could you describe how to factor quadratic trinomials?
 TwoStep Equations and Equations with Variables [5/17/1996]

I'm in prealgebra and I suffer at 2step equations and the ones with
variables on both sides...
 Undefined Slope and Zero Slope [04/11/1997]

What is the difference between an undefined slope and a slope of zero?
 Understanding Variables [08/02/1999]

Why do we replace numbers with letters in algebra?
 Upstream and Downstream Speed [08/16/1998]

It takes a ferryboat 2 hours to travel 30 miles going downstream and 3
hours for the return trip upstream. What is the ferryboat's speed in
still water?
 Variables: Connecting Letters and Numbers [12/06/2001]

Is there some sort of table you can use to show what letter is equal to
what number?
 What Does 'n' Mean? [09/25/2001]

In a pair of numbers, if n is the first number, what is the second?
 What is a Quadratic Equation? [08/04/1997]

What is a quadratic equation? What is it used for? How can we use it to
solve everyday problems?
 What is Slope? [9/2/1996]

What is a slope, and if given a slope = n equation, how do you apply that
slope number to another graph problem?
 What is the Distributive Property? [3/4/1995]

A middle school student questions one of the most important introductory
topics in algebra.
 When do the Cars Meet? [01/23/1997]

Two cars are 635 kilometers apart. They start at the same time and drive
toward each other. One travels at 70 km/h and the other travels at 57
km/hr. In how many hours do they meet?
 Why does PEMDAS work? [7/9/1996]

Why does the PEMDAS (Parentheses, Exponents, Multiplication, Division,
Addition, Subtraction) order of operations really work?
 Write in SlopeIntercept Form [11/06/1997]

Write and sketch x  y + 2 = 0 .
 X greater than 25, OR less than 30 [8/17/1996]

x > 25 or x < 30. The "or" part of the problem bugs me. Is the answer
{26, 27, 28, 29}?
 10% Sodium + 30% Sodium [07/09/2003]

A group of chemists are conducting an experiment to produce a new
liquid material. One chemical contains 15% sodium (Na) and the other
chemical contains 30% sodium (Na). Once they mix the two samples the
resulting chemical contains 22% sodium (Na). How many milliliters
(ml) of each sample must be mixed to obtain 600 ml of the new
chemical?
 14b * 20x Rearranged [03/11/2002]

What is 14b times 20x ?
 1/x = x% [04/16/2001]

For what value of x does 1/x = x% ?
 25 Coins for a Dollar [02/13/2003]

I need 25 coins for my dollar. What are they?
 300 Foul Shots [07/11/2001]

A basketball player shoots 100 foul shots on a given day, and increases
the number he shoots by 10 per day...
 3 Algebra Problems: Simplifying [8/18/1996]

35x+834x = 32; 12a7+4a = 3712; 10m+37m = 18+9.
 4Variable Systems of Equations [12/10/2002]

2wx+5y+z=3; 3w+2x+2y6z=32; w+3x+3yz=47; 5w2x3y+3z=49.
 60 Eyes and 86 Feet [09/30/1997]

How many camels and ostriches were in the zoo?
 9x^2 = 64 [03/22/2003]

I am trying to figure out what 9x^2 = 64 is.
 Absolute Value As Statement about Distance [10/16/2002]

x+x+2+x4 < 5.
 Absolute Value Equations [10/16/1998]

How do you make the set of numbers 3 < x < 11 into an equation using
absolute values?
 Absolute Value Equations [10/30/2002]

What is the answer to 'the absolute value of x3 + the absolute
value of 3x = 12' ?
 Absolute Value Inequalities [06/23/2004]

I have to solve x + 3 < 5 and I don't remember if it's 'and' or
'or'. Is there an easy way to remember, or another way to solve the
problem?
 Absolute Value (Real Numbers: Rational) [02/02/1999]

Find the solutions of 1/(x2) >= 4.
 Adding Algebraic Fractions, Different Denominators [8/24/1996]

How do I solve 7/2x + (2x)/(3x^2) + (3 + 5x)/(6x^3)?
 Adding and Subtracting Algebraic Fractions [8/24/1996]

How do I add and subtract fractions with the same denominator?
 Adding and Subtracting Inequalities [09/29/1998]

Can you explain the rules? What if two inequalities are in the same or
opposite directions?
 Adding Fractions in Algebra [2/9/1996]

A student needs help with adding fractions in equations.
 Adding Fractions That Have Variables [03/24/2002]

9a/10 + 2/5. I have the answer in the back of the book but I don't
know how to solve it.
 Adding Fractions with Variables [03/21/1997]

How do I add 7/53 + 23/n ?
 Adding or Dividing Letters [10/26/2002]

Solve for x: ax + bc = cx  df. I don't understand how you can divide
and add and subtract letters.
 Addition Property of Inequalities [8/29/1996]

If x > y, then x+z __?__ y+z ??
 Algebra and Fractions [08/30/1997]

The sum of twothirds and oneninth of a number is 28. Find the number N.
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