Here is the list of mathematics exercises on equations available online for free. Each corrected exercise is accompanied by indications, reminders of the course, methodological advice which allows you to practise independently.

27 exercises
• N°1119 (equations) : The objective of this activity is to complete a "hole" operation, otherwise known as solving a simple equation.

Exercise example :

What is the missing number in the following expression : ...-5 = 4?

1119
• N°1237 (equations) : The purpose of this corrected math exercise is to complete an equality that involves relative numbers.

Exercise example :

What is the missing number in the following expression: 2+...=-4.

• N°1336 (equations) : 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 (equations) : 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 (equations) : 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 (equations) : 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 (equations) : 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 (equations) : 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 (equations) : 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°1415 (equations) : The purpose of this corrected math exercise is to solve an equation of the form x^2=a.

Exercise example :

Find x such that x^2=9.

• N°1423 (equations) : The objective of this corrected math exercise is to solve a system of two equations with two unknowns.

Exercise example :

Solve the following system:

-x-2*y = 3

3*x = -2

1423 solve_equations
• N°1438 (equations) : The purpose of this exercise is to practice factoring, expanding, simplifying algebraic expression and solving equation.

Exercise example :

Consider the expression E=(8*x+4)^2-(8*x+4)*(7*x-5).
1. Expand and reduce E.
2. Factor E.
3. Solve the equation (9+x)*(4+8*x)=0.

1438 expand_and_simplify
• N°1439 (equations) : The purpose of this exercise is to practice factoring, expanding, simplifying algebraic expression and solving equation.

Exercise example :

Consider the expression E=(2*x+10)^2-(2*x+10)*(5*x-4).
1. Expand and reduce E.
2. Factor E.
3. Solve the equation (14-3*x)*(10+2*x)=0.

1439 expand_and_simplify
• N°1440 (equations) : The objective of this exercise is to equate a problem in order to solve it.

Exercise example :

Today Tom is 15 years old and Steve is 37 years old. In how many years the age of Steve will be double that of Tom?

• N°1441 (equations) : The purpose of this exercise is to use a system of two equations with two unknowns to solve a problem.

Exercise example :

1. Solve the system
2*x+2*y=30
3*x+10*y=101
2. To organize photos a store offers two types of storage albums or boxes : Tom buys 2 boxes and 2 albums and pays 30. Victoria buys 3 boxes and 10 albums and pays 101.
3. What is the price of a box?
4. What is the price of an album?

• N°1501 (equations) : This corrected exercise allows to practice solving linear equations with one unknown of the form ax+b=0.

Exercise example :

Solve the following equation: x/2-3=0.

• N°1502 (equations) : The purpose of this exercise on quadratic equations is to practice solving 2nd degree equations and null product equations.

Exercise example :

Solve the following equation: z^2+1-2*z=0.

• N°1503 (equations) : The purpose of this exercise is to solve a second degree equation by reducing it to solving a first degree equation.

Exercise example :

Solve the following equation: y^2-16=0.

• N°1504 (equations) : The goal of this exercise is to solve a null product equation of the type a*b=0, with a=0 or b=0.

Exercise example :

Solve the following equation: z^2+1-2*z=0.

• N°1508 (equations) : The purpose of this exercise is to solve graphically an equation.

Exercise example :

The representative curve of the function f is given below. Find graphically one or more integer values of x on the interval [-5,5[ which verify the equation f(x)=1. You can use the red cursor to read the coordinates of the points.

• N°1513 (equations) : The purpose of this corrected exercise is to solve an equation with an absolute value (equation of the form |x-a|=b).

Exercise example :

Solve the following equation |x-4|=2.

• N°1514 (equations) : The purpose of this corrected exercise is to solve an equation with an absolute value (equation of the form |x-a|=b).

Exercise example :

Solve the following equation |x+9/2|=9/4.

• N°1524 (equations) : The objective of this exercise is to determine the ordinate of a direction vector from a line equation.

Exercise example :

Find the ordinate of the direction vector of the line whose equation is y=-7/10*x+6 which has abscissa 1

• N°1602 (equations) : The purpose of this corrected exercise is to find the number of solution of a second degree equation as a function of the discriminant.

Exercise example :

How many solutions does the following equation have: 2*x^2-x ?

• N°1603 (equations) : The purpose of this corrected exercise is to use the discriminant of a second degree equation to find its roots.

Exercise example :

Give the roots of the following equation 4*x^2+x-2

• N°2411 (equations) : The purpose of this exercise is to find the equation of a line representing a linear function that passes through a given point.

Exercise example :

Determine the equation of the linear function whose graphical representation passes through the point D of coordinates (3/5,2).