Algebra Library

Algebra Library

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


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List of Q&A

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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 …

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) + 152(5y – 3) +1} …

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 …

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:    …

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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 …

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