Here is the list of mathematical exercises on on algebraic calculus available online for free. Each corrected exercise is accompanied by indications, reminders of the course, and methodological advice, which allows you to practice independently.

22 exercises
• N°1239 (algebraic calculus) : This exercise allows to practice developing an algebraic expression by using different techniques of algebraic calculation.

Exercise example :

Expand the following expression 2*(8+x)?

• N°1240 (algebraic calculus) : This exercise allows to practice factoring an algebraic expression by using different techniques of algebraic calculation.

Exercise example :

Factor the following expression 12+4*x.

• N°1325 (algebraic calculus) : This exercise allows you to practice the techniques of simplifying algebraic expressions that contain a single letter.

Exercise example :

Simplify the following expression 1+5*z+2*z^2+5+4*z+z^2+4+2*z+5*z^2.

• N°1326 (algebraic calculus) : The objective of this algebraic calculus exercise is to expand an algebraic expression.

Exercise example :

Expand the following expression (-4*a-8*b)*(5*a+3*b).

1326 expand_and_simplify
• N°1327 (algebraic calculus) : The objective of this exercise is to calculate an algebraic expression by replacing letters with a given value.

Exercise example :

Compute the following expression 2+x+9+4*y for x=4 ,y=6.

• N°1328 (algebraic calculus) : The objective of this solved exercise is to compare two fractions using the correct operator.

Exercise example :

Compare the following two expressions 90/10 ... 27/10.

• N°1330 (algebraic calculus) : The objective of this math exercise is to equate a simple problem to solve it.

Exercise example :

I have a number, I add 27 to it, I subtract 22 from the result and I get 43, what is this number?

• N°1336 (algebraic calculus) : The purpose of this exercise is to solve a linear equation of the first degree with one unknown of the form ax+b=c.

Exercise example :

Solve the following equation: 4*y-4=6.

• N°1337 (algebraic calculus) : The purpose of this corrected exercise is to solve an equation with one unknown of the first degree of the form x+b=c.

Exercise example :

Solve the following equation: 2*x+3=5.

• N°1338 (algebraic calculus) : The purpose of this corrected exercise is to solve an equation with one unknown of the first degree of the form ax+b=cx+d.

Exercise example :

Solve the following equation: 4*z+3=6*z+8.

• N°1339 (algebraic calculus) : The purpose of this corrected math exercise is to solve an equation written in natural language.

Exercise example :

My quadruple is equal to 32. Who am I?

• N°1340 (algebraic calculus) : The purpose of this exercise is to solve a numerical problem by calculating the percentage of a whole number.

Exercise example :

In a class of 10 students 70 % got the average on the last test. What is the number of students who did not get the average?

• N°1341 (algebraic calculus) : The purpose of this math exercise is to calculate a percentage from two numbers.

Exercise example :

In a class of 10 students, 4 got the average in the last math test. What percentage of students got the average?

• N°1342 (algebraic calculus) : The purpose of this math exercise is to determine a percentage from two given integers.

Exercise example :

In a class of 30 students there are 9 boys. What is the percentage of boys in this class?

• N°1412 (algebraic calculus) : The purpose of this exercise is to develop an algebraic expression using the most suitable remarkable identity.

Exercise example :

Using the appropriate special expansion develop the following expression (8*a+5*b)*(8*a-5*b).

• N°1413 (algebraic calculus) : The purpose of this exercise is to calculate the square of a number using a remarkable identity.

Exercise example :

Using the appropriate remarkable identity calculate the following expression 999^2.

• N°1430 (algebraic calculus) : The purpose of this corrected algebraic calculus exercise is to factor an algebraic expression that involves squares.

Exercise example :

Factor the following expression x^2-20*x.

1430 factor
• N°1431 (algebraic calculus) : The purpose of this exercise is to factor an algebraic expression using a remarkable identity of the form a² - b².

Exercise example :

Factor the following expression 9*x^2-49.

1431 factor
• N°1631 (algebraic calculus) : The purpose of this exercise is to practice developing a polynomial and determining its degree.

Exercise example :

1. Expand and reduce the following polynomial:(-6+x^2)*(-5-4*x).
2. What is its degree ?

• N°1632 (algebraic calculus) : The goal of this exercise is to practice developing a polynomial with remarkable identities and determining its degree.

Exercise example :

1. Expand and reduce the following polynomial:(7+x)^2-1-2*x+x^2+x^3.
2. What is its degree ?

• N°1633 (algebraic calculus) : The goal of this exercise of algebraic calculation is to factor a polynomial of degree 3 knowing one of its roots.

Exercise example :

P is the polynomial defined by P(x) =-4+8*x+3*x^2-x^3
1. Compute P(-2)
2. Find the polynomial Q such that for any real x, P(x)=(x+2)Q(x)

• N°1634 (algebraic calculus) : The goal of this exercise of algebraic calculation is to determine the values for which a polynomial of degree 3 is equal to 0.

Exercise example :

Compute the roots of P(x) =-4+8*x+3*x^2-x^3.

1634 equation_solver