Making Algebra easier for you!

I'm going to open this page back up for question on how to solve particular algebra problems that you may have. I became overwhelmed with the number of submissions in the past, so I'm hoping to be able to manage answering as many questions as possible.

If I am unable to answer all the questions, I'm hoping other Algebra-class users will be able to step in a comment to help each other out!

Are you stumped? Share your question here!

Click below to see contributions from other visitors to this page...

**Rate and Fractions Problem**

Fred washes the car in 8 minutes. Al washes the same car in 6 minutes how long will it take both of them to wash the car together?

**Using the Area Formula**

Determine the total amount of fertilizer in ounces (oz) needed to fertilize a rectangular lot with dimensions 24 yd by 21 yd if 3 oz of fertilizer is needed …

**Equations with Absolute Value**

Here is the question. It is 3 absolute value of x divided by 9 plus 7 equals 8.

**Inequality equations**

The question asks to write and solve an inequality to find the length of a rectangle and to write an inequality to find the area of the rectangle.
…

**Using the Substitution Method**

Use Substitution to solve the system of equations
4x + y = 0
2y + x = -7

**Solving Inequalities**

Solve negative six less than or equal to 3x-15 less than equal to 12. Graph your solution.

**System of Inequalities**

How do you solve: Ho sells ice cream cones at the county fair. She has to rent the equipment for $48 and spend $0.53 on ingredients for each cone. Write …

**Combining Like Terms**

Can you use the combining like terms method for something like this?
9a-a+15-10a-6

**Reciprocals**

I have a question about reciprocals in One Step Multiplication equation section.
My book shows the reciprocal of -2/3 as -3/2. Is this correct?
…

**Simplifying Fractions**

In a paragraph, describe how to simplify each expression.
161/2

**Writing Linear Equations Given a Graph**

I am in online school, and in my algebra 1 class there are several questions that have to do with writing an equation in slope intercept form from the …

**Writing a System of Equations**

At the end of the 2000 WNBA regular season, the Houston comets had 22 more victories than losses. The number of victories they had was three less than …

**Solving Quadratic Equations**

A person plants two square plots for garden. the of the areas of both plots is 225 square feet. If the side of one plot is 3 feet longer than the side …

**Writing and Solving Equations**

Find the measure of the largest angle of a triangle if it's 3 times as large as the smallest angle and the second angle is 20 degrees larger than the …

**Writing and Solving Systems of Equations**

The sum of Eli's age and Cecil's age is 60. Six years ago, Eli was three times as old as Cecil.Find Eli's age now.
Karin from Algebra Class Says: …

**Distance Formula Word Problems**

If a person can travel 20 miles upstream in 10 hours and the same distance downstream in 2.5 hours, find the rate of the current.
Karin from Algebra …

**Writing and Solving a System of Equations**

Please help me to solve this problem:
From 1970-1990, the average annual per person consumption of whole milk in the U.S. dropped from 103 to 43 quarts. …

**System of Equations Word Problem**

Five hats and three scarves cost $99. While three hats and five scarves cost $85. Find the cost of one hat.

**Variables on Both Sides**

I NEED TO GET HELP ON A PROBLEM TOWARDS THE END OF THE PROBLEM. I'M NOT SURE WHY THE NEGATIVE ENDS WITH A POSITIVE ANSWER IN THIS EQUATION: 4P+40=26P …

**Solving Linear Systems of Equations**

12 apples & 8 guavas total cost is Rs. 76/-. 8 apples & 12 guavas cost is Rs. 64/-. What is the cost of each apple & guava?

**Rewriting Inequalities**

Hi!
Your site has really helped!
I just have a little question...
What happens when the inequality is like follows: x>11 + y? How do we rewrite the …

**Interest Word Problems**

Sam invested 11000 in an acct that pays 11% apr. How much additional money must be invested in an acct that pays an apr of 14% so that the total interest …

**Inequalities Word Problem**

Fred bought 3 shirts, each of the same price and received less than $12 change from a $50 bill. What is the maximum cost of 1 shirt?

**Linear Systems of Equations**

I'm using graph and check to solve the linear system.
My first equation is: 2x-y=2
I changed it to: -y=(-2)x+2
**What do I do with the minus sign?** …

**How To Solve A Problem With Variables On Both Sides?**

I can't figure out how to solve an equation with variables on both sides. For example: 25u+74=23u+92

**Area formula problem**

A room is 15 ft long and y feet wide. How many square yards are in the floor area?

**Writing a System of Equations**

Find the equations to: Alice spent $131 on shoes. Sneakers cost $15 and Fits cost $28. If she bought a total of 7 shoes, then how many of each kind of …

**Word problems**

12 is 6 times the difference between a number and 3. Find the number.

**Functions Word Problem**

The value of a 1996 Mustang, in thousands of dollars, is a function of the age a of the car, in years. Let V=f(a) be the function that represents the value …

**Decimals in Multi-Step Equations**

Please help with this problem:
3.9w-17.9= -2.3
Karin from Algebra Class says:
You solve equations with decimals the same way that you solve …

**System of Equations Word Problem**

The telephone company offers two types of service. With Plan A, you can make an unlimited number of local calls per month for $18.50. With Plan B, you …

**Translating Algebraic Expressions**

Translate,what is the quotient of the sum of two numbers and twenty?
Algebra Class Says:
Let's first talk about the vocabulary:
quotient …

**Estimating Decimal Products**

How do I estimate the problem 10.78x1044.3092

**Algebra Word Problem**

The product of two fractions is 1/9. The larger fraction divided by the smaller fraction is 4. What is the sum of the two fractions? Express your answer …

**Equation with Variables**

Please help solve this problem:
2/3=4J/6

**Problems With Sales Tax**

The Sheng family had dinner at their favorite restaurant. A 10% sales tax was added to their bill. Amy paid the bill with a $20 gift certificate plus $23.5. …

**Perimeter Formula**

The length of a rectangle is 4 times the width.
The perimeter of the rectangle is 80cm.
Find the length of each side.

**Rewriting Equations**

How do I re-arrange x-y+2=0 to the y=mx+b so I can put it into a table of values?

**Equations with Variables on Both Sides**

How do I solve: 3/7w - 11= -4/7w

**Solving Equations with Fractions**

How do I solve this?
1/3(7y-1)+1/6(4y+7)
Karin from Algebra Class says:
I would love to help you solve this equation, however, we need to …

**Equation with Variables on Both Sides**

-11-5a=6(5a+4)

**Slope Ratio**

Suppose that a highway rises a distance of 215 feet in a horizontal distance of 2640 feet. Express the grade of the highway to the nearest tenth of a percent. …

**Composite Functions**

Find f(g(x))
g(x)=2x^2+4 and f(x)=x-2/4

**Rational Expressions**

1. Find all numbers for which the rational expression is undefined...
5/v-6
2. Divide and simplify...
f+4/f-1 divided by 7f+28/f-6
…

**Word problem**

Doomtown is 200 miles due west of Sagebrush , and Joshua is due west of Doomtown. At 9am Mr Archer leaves Sagebrush for Joshua. At 1 pm. Mr Sassoon leaves …

**Simplifying Numbers**

How do you reduce or simplify this number 2100/1050?

**System of Equations Addition Method**

-2x+5y=1
x-2y=4
The answer in the math book is x=22 y =9
I've been getting a different answer.

**Solving Algebra Word Problems**

I have a word problem and no matter how hard I try I can't figure out how to do it and I need to figure out how to do these problems for my test. I need …

**Domain and range of a graphed function **

Please explain to me how to determine the domain and the range of a graphed function. They have it in the book, but it wasn't clear enough for my daughter. …

**Using Area and Volume Formulas**

A pizza box measures l7 inches long, l6 l/2 inches wide, and 2 inches high. what is the total area of the box and what is the volume?

**Systems of Equations Substitution Method**

Hello, Here I am back in school after 22 years. Math is one of my requirements, before graduation in 2011. However, I am having difficulty understanding …

**Substiution Method**

In the substitution method, how do you know which variable to begin with?

**Area of a Parallelogram**

Need help...
The area of a parallelogram is 252 cm2 and base is 42 cm. Use ALGEBRA to find the height of the parallelogram. Include your formula and …

**Solving Systems Using the Substitution Method**

Please help solve this system using the substitution method.
2x+3y=10
y=-x+2

**Graphing inequalities**

System of Inequalities:
Graph the following: 2x+3y>6

**Systems of Equations Problems**

Solve this problem by using a two order system.
A man bought 42 stamps, some 13¢ and some 18¢. How many of each kind did he buy if the cost was $6.66? …

**Understanding Linear Graphs**

I have multiple word problems that are really giving me a hard time. I would really appreciate it if someone could help me.
1) The equations 3x+4y=8 …

**Systems of Equations Word Problem**

All 231 students in the french class went on a field trip. Some students rode in vans which hold 7 students each and some students rode in buses which …

**Simplify Rational Expressions**

Please help me to simplify the following expression:
2x+8/x^2-16

**Writing and Solving Equations**

The product of 2 consecutive positive integers is 398 more than the next integer. What is the largest of the 3 integers?

**Systems of Equations Story Problem**

Please help with the following problem.
Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for …

**System of Equations Word Problems**

I really NEED help with these System of Equations word problems! I did the ones on this website but I want an example that can help with mixes of trail …

**Probablility Questions**

I am having difficulty answering the following questions:
Diagram this statement. Then answer the questions that follow.
One fourth of the 64 marbles …

**Inequality Solution**

I need help solving the following inequality:
-4<3-2x<20

**Graphing Using the Slope and Y-Intercept**

How do you graph using the slope and y-intercept like in this problem 2y+4x=0?
Karin from Algebra Class Says:
In order to graph this equation, …

**Polynomial Word Problem **

I have an Algebra Word Problem that I cannot solve. Can you please help. The problem is:
The sum of two integers is 10. If their product is 24,what …

**Solving a 2 step equation Involving Rational Numbers**

2/3 = -1 5/9 + 5/8x
I'm getting stuck on finding the common denominator with a mixed number to get this answer. Help!!
Karin from Algebra …

**The Difference between a Monomial and a Polynomial**

Why is -2 a polynomial and -5 is a monomial? I do not understand the rationale behind this and my textbook is not clear. Also how can 0 be both?
…

**Direct Variation**

Will you explain what direct variation is and give some examples please. This would be greatly appreciated!!
Karin from Algebra Class Says:
…

**Rate Of Change And Slope**

(-2,-5)(7,8)Is the answer negative 3 over 21 which is -7?

**Vertex of Absolute Value Equations**

CALCULATING THE VERTEX OF AN ABSOLUTE VALUE OF THE EQUATION
WRITE DOWN WHAT IS INSIDE THE ABSOLUTE VALUE SYMBOL AND SET EQUAL TO ZERO
SOLVE FOR "X" …

**Systems of Equations Help**

I have a systems of equations word problem that I need help with:
Since my uncles farmyard appears to be overrun with dogs, and chickens, I asked him …

**Dimensions of a Rectangle Word Problem**

A rectangle has area 12a squared and a perimeter 14a. What are the dimensions of the rectangle and how do you solve this?

**Addition/Elimination Method ** Not rated yet

I am having trouble solving this problem...
4x-5y=7
-4x+5y=7
--------------------------------------------------
Response from Algebra-class.com …

**how to solve inequalities ** Not rated yet

Thank you for your program. Please solve the inequality -14>-a+4-5a and graph its solution if it is a real number.
Karin from Algebra Class says: …

**Average Algebra Problem** Not rated yet

Here's my problem:
Ahmik's scores on the first four of five 100-point history tests were 85, 91, 89, and 94.
If a grade of at least 90 is an A, …

**Age Problem in Algebra** Not rated yet

Help me to solve this age problem in algebra:
Ana is ten years older than Belinda, while Belinda is 5 years younger than Celina. Twice Aana's age is …

**How to Solve Equations** Not rated yet

Can you please show me how to solve equations such as this:
4x-5=12x-69. X=
Karin from Algebra Class says:
This equation has variables on …

**Solving Equations with Fractions** Not rated yet

Please help to solve this equation with fractions:
-5= -19- x/7
Karin from Algebra Class says:
Whenever you have a fraction within an equation, …

**Equations** Not rated yet

So I don't know how to do this problem: 2=5+n/10
Karin from Algebra Class Says:
With this equation, I am going to assume …

**One step equations** Not rated yet

I'm working on this y + 5=-12 answer says y=-17 I did 12-5 which equaled 7. Your answer says 17,do I carry the 1 down to make it 17? to get the answer …