### Algebra Library

# Algebra Library

This library is for all the Q&A on Algebra. Here you can:

- View all the Algebra Q&A and comment on them
- Create & share your own Algebra Q&A page
- Submit an Algebra question & get an answer

List of Q&A

Click below to see others' Q&A...

**Problem Solving: Find the time for the second bus to catch up**

**Question** A bus leaves a station at 8:00 a.m. and averages 30 mi/h. Another bus leaves the same station following the same route two hours after …

**Algebra Story Problem: Find the speed of the current **

**Question** Two miles upstream from his starting point, a canoeist passed a log floating in the river's current. After paddling upstream for one …

**What does the ! mean in math formulas?**

**Question** I was taking an online test and the question was what does 4! mean. Do you know what this means?
**Answer** It's the factorial …

**Problem Solving - Measure out 7 liters of water**

**Question** Candice has an 11-liter can and a 5-liter can. How can she measure out exactly 7 liters of water into a third unmarked container?
**Answer** …

**Difference between an equation and an expression**

**Question** Solve the equation 2(3x-1)-x+7
**Answer** First, I need to clarify a common misunderstanding between 'solving equation' and 'simplifying …

**Simplifying an expression by removing the brackets**

**Question** I am trying to remember what the purpose is for the brackets in an equation. Example: 5{**4(y – 4) + 15** – **2(5y – 3) +1**} …

**Factoring a Quadratic Equation**

**Question** How do you factor 3x 2 – 8x – 3?
**Answer** STEP 1: You are given a quadratic expression of the form ax 2 …

**Problem Solving: Find the width of each column**

**Question** Ms. Williams wants to make a five-column grid on a page that is 22cm wide. Of these columns, the first three should be the same width, …

**Calculate delivery time**

**Question** I can deliver 42 bats in 1 hour. Write an expression that shows how long it takes to deliver 126 bats.
**Answer** STEP 1: …

**Evaluate 5*4+(5+2)+12-2^2** Not rated yet

**Question** 5*4+(5+2)+12-2^2
**Answer** Well to figure this out you have to know PEMDAS
PEMDAS (follow the order)
(P)arentheses
(E)ponents …

**Word problem on Percentage** Not rated yet

**Question** In a room with 35 men, 80 percent of the occupants are women. How many women are in the room?
**Answer** STEP 1: …

**Solving Equation with Fractions** Not rated yet

**Question** What is 2x / 8 = 1 / 12 STEP 1: You are given an algebraic equation which contains fractions. To find the solution …

**Writing an Expression** Not rated yet

**Question** Last year c cassettes were sold. This year twice that number has been sold. How many cassettes were sold this year?
**Answer** …

**Solve the equation: (x+2)(x+3)=1-x** Not rated yet

**Question** Solve the equation: (x+2)(x+3)=1–x.
**Answer** STEP 1: To solve the given equation means to find the values …

**Changing nautical miles to speed in meters** Not rated yet

**Question** The rate of one knot equals one nautical mile per hour. One nautical mile is 1852 meters. What is the speed in meters per second of …

**Finding the area of clock** Not rated yet

**Question** Mr. Jeffries is making a wooden clock. The clock has a diameter of 9 inches. What is the area of the face of the clock to the nearest …

**Solve an Inequality ** Not rated yet

**Question** Solve the inequality 4 > (7x+21)/3
**Answer** STEP 1: To solve the given equation means to find the value …

**Solving an equation: x=(y^2).(z^3)** Not rated yet

**Question** Solve for x for the equation x=(y^2).(z^3) when y=3 and z=2.
**Answer** STEP 1: Given the equation:
All …

**Solving a linear equation** Not rated yet

**Question** What is 5n - 2n + 12 + 20 = 5
**Answer** STEP 1: Here, we need to find the value of n. We note that the terms …

**Calculate the number of tiles** Not rated yet

**Question** How many tiles are needed to fill an area 40 square ft with 12" X 12" tiles?
**Answer** STEP 1: Here, 12" …

**Determine the number of real-number solutions** Not rated yet

**Question** Determine the number of real-number solutions to the equation from the given graph 4x 2 + 1 = 4x, given the graph of y = 4x -4x 2 …

**Angle Measurements: Circle Graph** Not rated yet

**Question** A class budget consists of $900 for dances, $1200 for trips, and $600 for charity. If the data were presented in a circle graph, what …

**Evaluate the expression: ab when a=-5 and b=10** Not rated yet

**Question** Evaluate ab when a=-5 and b=10.
**Answer** First, we must know that ab is the same as:
Now, since a is given as -5, we …

**Simplify the expression: –2(x–4)–(2x+1)** Not rated yet

**Question** Which expression is equivalent to –2(x–4)–(2x+1)?
a. –3x + 7
b. –3x – 7
c. –4x + 7
d. –4x – 7
**Answer** STEP 1: …

**Simplify algebraic expression (involves algebraic fraction)** Not rated yet

**Question** Simplify the algebraic expression {3(a-b)/9} + {4b/9}
**Answer** STEP 1: The numerator of the first fraction …

**Problem Solving: Find the age of the daughter** Not rated yet

**Question** If the age of a father is 2 times greater than his son and 3 times than his daughter, and their total age is 88. What is the age of daughter? …

** Problem Solving - Find the total time to paint a house** Not rated yet

**Question** If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint …

**Expressions** Not rated yet

Question
Which grouping of numbers gives the expression a value of 15?
A) (6+3)·18 divided by 9-3
B) 6+(3·18) divided by 9-3
C) 6+3·(18 …

**Evaluate n+6 when n=1** Not rated yet

**Question** Evaluate the expression, n+6 when n=1.
**Answer** It quite simple to evaluate n +6 . Given that n=1 , we can just replace (i.e. …

**Adding or Subtracting expressions** Not rated yet

**Question** When adding or subtracting expressions, how do you identify the like terms?
**Answer** You can watch the math videos in the following …

**Writing an Algebraic Expression** Not rated yet

**Question** If n is equal to the number of rides and 1 ride is 2.00 and 2 rides is 2.50, write an expression using n to show the cost.
**Answer** …

**Solving a cubic equation by factorization** Not rated yet

**Question** Solve this equation: 3x^3 -8x^2 +4x=0
**Answer** Solving 3x 3 -8x 2 +4x = 0 means that we need to find the values of x that …

**Solve the Equation: -5x + 9 = 3** Not rated yet

**Question** Solve the equation: -5x+9=3
**Answer** Solving this equation means that we need to find the value of x. Below are the steps to …

**Solve the Equation: (x-2)/3 = (28-2x)/6** Not rated yet

**Question** Solve the following equation: (x-2)/3 = (28-2x)/6
**Answer** Solving this equation means that we need to find the value of x. Below …

**Expanding Brackets - Quadratic Factors** Not rated yet

**Question** Expand (y+1)(y-3).
**Answer** Before we expand (y+1)(y-3), let's take a look at the basic ideas behind removing brackets …

**Evaluate the expression 3z + 3** Not rated yet

**Question** Evaluate the expression 3z+3 when z = 5.
I say the answer is 15, my son says the answer is 18. We have been arguing over this for 20 …

**Word Problem - Dimes and Nickels** Not rated yet

**Question** Dave has a total of $4.50. He has twice as many dimes as nickels. How many of each coin does he have?
**Answer** Before we can …