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QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students.

• The algebra section allows you to expand, factor or simplify virtually any expression you choose. It also has commands for splitting fractions into partial fractions, combining several fractions into one and cancelling common factors within a fraction.
• The equations section lets you solve an equation or system of equations. You can usually find the exact answer or, if necessary, a numerical answer to almost any accuracy you require.
• The inequalities section lets you solve an inequality or a system of inequalities for a single variable. You can also plot inequalities in two variables.
• The calculus section will carry out differentiation as well as definite and indefinite integration.
• The matrices section contains commands for the arithmetic manipulation of matrices.
• The graphs section contains commands for plotting equations and inequalities.
• The numbers section has a percentages command for explaining the most common types of percentage problems and a section for dealing with scientific notation.

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Number Line

• x^4-5x^2+4=0
• \sqrt{x-1}-x=-7
• \left|3x+1\right|=4
• \log _2(x+1)=\log _3(27)
• 3^x=9^{x+5}
• What is the completing square method?
• Completing the square method is a technique for find the solutions of a quadratic equation of the form ax^2 + bx + c = 0. This method involves completing the square of the quadratic expression to the form (x + d)^2 = e, where d and e are constants.
• What is the golden rule for solving equations?
• The golden rule for solving equations is to keep both sides of the equation balanced so that they are always equal.
• How do you simplify equations?
• To simplify equations, combine like terms, remove parethesis, use the order of operations.
• How do you solve linear equations?
• To solve a linear equation, get the variable on one side of the equation by using inverse operations.

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• High School Math Solutions – Exponential Equation Calculator Solving exponential equations is pretty straightforward; there are basically two techniques: <ul> If the exponents...

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Answered Problems By Math Tutors

A soccer coach wants to know how many hours a week his players spend training at home. He has 20 players and he decides to ask the first 4 players to arrive at Monday's soccer practice how many hours they spend training per week. He then calculated that they spend an average of 10 hour per week. Therefore, he assumed that all the players train 10 hours per week. Is this an example of a simple random sample? 

A No, because each student did not have an equal chance of being selected. 

B Yes, because each student had an equal chance of being selected. 

C No, because he did not sample every soccer player. 

D Yes, the minimum number of students sampled need to be four for it to be a simple random sample. 

The figure shows the graph of f. 

(b) Which of the cx-values A, B, C, D, E, F and G appear to be inflection points of f? 

The diagram shows two rectangles, A and B. 

All measurements are in centimetres. 

The area of rectangle A is equal to the area of rectangle B. 

Find an expression for y in terms of w. 

George's page contains twice as many typed words as Bill's page and Bill's page contains 50 fewer words than Charlie's page. If each person can type 60 words per minute, after one minute, the difference between twice the number of words on Bill's page and the number of words on Charlie's page is 210. How many words did Bill's page contain initially?

 Bill's page initially contained        words. 

Simplify 2sin(5x)cos(3x) - sin(2x) to one an expression containing one trigonometric function. Then graph the original function and your simplified version to verify they are identical. Enclose arguments of functions in parentheses. For example, sin(2x). 

2sin(5x)cos(3x)-sin(2x)=

A health psychologist was interested in the effects of vitamin supplements on the immune system. Three groups of adults were exposed (in a highly ethical way) to the cold virus; one group took no supplements for a week before exposure, another had vitamin C supplements, and a third had multivitamins (excluding C). The severity of the cold was measured as a percentage (0% = not contracted, 100% very severe symptoms). The psychologist also measured the number of cigarettes that each person smoked per day, as smoking suppresses the immune system. The psychologist was interested in the differences in the severity of the illnesses across different vitamin groups accounting for cigarette usage. What technique should be used to analyse these data? 

A. Two-way repeated-measures ANOVA 

B. Two-way independent ANOVA 

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You'll Have No Words Seeing This Precious 2-Year-Old Genius Do Multiplication on AGT

Simon Cowell pleads, “Get us a calculator!” and asks Baby Dev to negotiate his next deal in this incredible AGT Season 19 Audition.

While most toddlers are stacking blocks and coloring with crayons, this pint-sized genius does addition, subtraction, and multiplication on national television.

How to Watch

Watch America’s Got Talent Tuesdays at 8/7c on NBC and next day on Peacock . 

Devan is the youngest Act ever to light up the America’s Got Talent stage, and in the Season 19 premiere, we can see why. The sweet boy knocked everyone’s socks off as he sailed through three different math equations that, to be honest, had the Judges stumped .

“We’re all sitting here thinking the same thing: get us a calculator,” said Simon Cowell after the performance, adding, “I now feel really stupid.”

RELATED:  Who Are the America's Got Talent Season 19 Judges?

Baby Dev’s father, Duane, a retired police officer, told NBC Insider he noticed something very special about his son early on: “At 4 months old, we realized his love for numbers.”

Duane explained that when he exposed his son to early learning shows, Baby Dev would suddenly cry when they switched away from math. “And when we turned it back, he would stop. We’re like, all right, he has this love and passion for numbers,” he said.

How old is Baby Devan?

Devan is 2 years old, the youngest-ever contestant on AGT . 

From the moment Baby Dev fist-bumped Terry Crews backstage before his Season 19 debut, AGT fans were charmed. The precious boy laughed, jumped, and squealed with delight after solving equations and politely saying “hello” and “thank you” to the Judges while on stage with his proud dad.

“His first word before mama and dada was seven,” Duane told the Judges. “That’s my lucky number,” exclaimed Simon. And it seemed to be Baby Dev’s, too. Three whiteboards were set up on stage — two for multiplication and one for addition — with Judges calling out random numbers. When Baby Dev quickly solved 7 x 9, there was a stunned silence before the crowd erupted in applause.

How did Devan develop his math skills?

Duane explained to NBC Insider how he nurtured his son’s penchant for math.

“At age 1, we had bought him a writing tablet. We would practice writing numbers with him from 1 to 10… and we would practice writing every day, and by 15 months old, he knew how to write numbers on his own.” After mastering addition, the math prodigy moved on to subtraction and his times tables.

“We can just be in bed, and he’ll be like… ‘Math, please. I wanna do math, please,’ and then he’ll go to his writing board and just do math equations,” said his dad, who noted that the little boy always loved counting everything. “Cars on the street, birds, trees… he has number magnets that he carries with him like it’s a toy.”

Baby Dev does not receive formal tutoring, and as one audience member pointed out, “He’s not even using his fingers” to count. However, he might have one strict requirement when calculating: Not being interrupted. As Baby Dev tackled a math problem and jotted down numbers, Howie Mandel loudly whispered, “We get to see the process.”

We can just be in bed, and he’ll be like… ‘Math, please. I wanna do math, please!’” Duane, Baby Dev's dad

The toddler shot him a look that could freeze water. After a long pause and some shushing directed toward Mandel, Baby Dev continued on and solved the final equation. He was unanimously voted on to the next round — but he may have something extra on his plate, too.

When Simon asked, “Devon, will you help me negotiate my next deal?” the little cutie responded, “Yes!”

Obviously this charming youngster moved on to the next round of the competition where fans are surely eager to see what mathematical wizardry he'll come up with next. 

Watch all-new episodes of  America’s Got Talent , airing Tuesdays at 8/7c on NBC   and streaming the next day on  Peacock .

-  Reporting by McKenzie Jean-Philippe

America's Got Talent

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Unit 7: Equations & inequalities

About this unit.

Solving equations is a superpower. It means we can model a situation with an equation in any way that makes sense to us, even with an unknown value in the middle. Inequalities are for situations with many true options, like how many pages I can send in my letter using just 1 stamp.

Algebraic equations basics

• Variables, expressions, & equations (Opens a modal)
• Testing solutions to equations (Opens a modal)
• Intro to equations (Opens a modal)
• Testing solutions to equations Get 5 of 7 questions to level up!

One-step equations intuition

• Same thing to both sides of equations (Opens a modal)
• Representing a relationship with an equation (Opens a modal)
• Dividing both sides of an equation (Opens a modal)
• One-step equations intuition (Opens a modal)
• Identify equations from visual models (tape diagrams) Get 3 of 4 questions to level up!
• Identify equations from visual models (hanger diagrams) Get 3 of 4 questions to level up!
• Solve equations from visual models Get 3 of 4 questions to level up!

One-step addition & subtraction equations

• One-step addition & subtraction equations (Opens a modal)
• One-step addition equation (Opens a modal)
• One-step addition & subtraction equations: fractions & decimals (Opens a modal)
• One-step addition & subtraction equations Get 5 of 7 questions to level up!
• One-step addition & subtraction equations: fractions & decimals Get 5 of 7 questions to level up!

One-step multiplication and division equations

• One-step division equations (Opens a modal)
• One-step multiplication equations (Opens a modal)
• One-step multiplication & division equations (Opens a modal)
• One-step multiplication & division equations: fractions & decimals (Opens a modal)
• One-step multiplication equations: fractional coefficients (Opens a modal)
• One-step multiplication & division equations Get 5 of 7 questions to level up!
• One-step multiplication & division equations: fractions & decimals Get 5 of 7 questions to level up!

Finding mistakes in one-step equations

• Finding mistakes in one-step equations (Opens a modal)
• Find the mistake in one-step equations Get 3 of 4 questions to level up!

One-step equation word problems

• Modeling with one-step equations (Opens a modal)
• Translate one-step equations and solve Get 3 of 4 questions to level up!
• Model with one-step equations Get 3 of 4 questions to level up!
• Model with one-step equations and solve Get 3 of 4 questions to level up!

Intro to inequalities with variables

• Testing solutions to inequalities (Opens a modal)
• Plotting inequalities (Opens a modal)
• Plotting an inequality example (Opens a modal)
• Inequalities word problems (Opens a modal)
• Graphing inequalities review (Opens a modal)
• Testing solutions to inequalities (basic) Get 3 of 4 questions to level up!
• Graphing basic inequalities Get 3 of 4 questions to level up!
• Inequality from graph Get 3 of 4 questions to level up!
• Plotting inequalities Get 3 of 4 questions to level up!
• Inequalities word problems Get 3 of 4 questions to level up!

Dependent and independent variables

• Dependent & independent variables (Opens a modal)
• Dependent & independent variables: graphing (Opens a modal)
• Dependent and independent variables review (Opens a modal)
• Independent versus dependent variables Get 3 of 4 questions to level up!
• Tables from equations with 2 variables Get 3 of 4 questions to level up!
• Match equations to coordinates on a graph Get 3 of 4 questions to level up!

Analyzing relationships between variables

• Writing equations for relationships between quantities (Opens a modal)
• Analyzing relationships between variables (Opens a modal)
• Equations and inequalities FAQ (Opens a modal)
• Relationships between quantities in equations Get 3 of 4 questions to level up!
• Analyze relationships between variables Get 3 of 4 questions to level up!