Exercise on equations

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 introduction to equation solving | equations 6th Grade | 7th Grade
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`.
1237 operations on integers and decimals | introduction to equation solving | equations 7th Grade
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.
1336 solving equations | algebraic calculus | equations 8th Grade equation_solver
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.
1337 solving equations | algebraic calculus | equations 8th Grade equation_solver
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.
1338 solving equations | algebraic calculus | equations 8th Grade equation_solver
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?
1339 solving equations | algebraic calculus | equations 8th Grade equation_solver
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?
1340 solving equations | algebraic calculus | equations 8th Grade
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?
1341 solving equations | algebraic calculus | equations 8th Grade percentage
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?
1342 solving equations | algebraic calculus | equations 8th Grade percentage
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.
1415 square roots | solving equations | equations 9th Grade equation_solver
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 solving equations and inequations of the first degree | equations of lines and linear systems | equations 9th Grade | 10th Grade solve_equations
N°1438 (equations) : The purpose of this exercise is to practice factoring, expanding, simplifying algebraic expression and solving equation.
Exercise example :
1. Expand and reduce E.
2. Factor E.
3. Solve the equation `(9+x)*(4+8*x)=0`.
1438 mathematics exams and competitions | expansion of algebraic expressions | solving equations and inequations of the first degree | factoring | equations 9th Grade | 10th Grade expand_and_simplify
N°1439 (equations) : The purpose of this exercise is to practice factoring, expanding, simplifying algebraic expression and solving equation.
Exercise example :
1. Expand and reduce E.
2. Factor E.
3. Solve the equation `(14-3*x)*(10+2*x)=0`.
1439 mathematics exams and competitions | expansion of algebraic expressions | solving equations and inequations of the first degree | factoring | equations 9th Grade | 10th Grade 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?
1440 mathematics exams and competitions | solving equations and inequations of the first degree | equations 9th Grade equation_solver
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. What is the price of a box?
3. What is the price of an album?
1441 mathematics exams and competitions | equations of lines and linear systems | equations 9th Grade solve_equations
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`.
1501 solving equations | equations 10th Grade equation_solver
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`.
1502 solving equations | equations 10th Grade equation_solver
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`.
1503 solving equations | equations 10th Grade equation_solver
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`.
1504 solving equations | equations 10th Grade equation_solver
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.
1508 solving equations | square and inverse functions | equations 10th Grade equation_solver
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`.
1513 order, absolute value, inequations | equations 10th Grade equation_solver
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`.
1514 order, absolute value, inequations | equations 10th Grade equation_solver
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
1524 vectors | equations | equations of lines and linear systems 10th Grade fraction
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` ?
1602 equations | second degree polynomials | solving equations 11th Grade discriminant
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`
1603 equations | second degree polynomials | solving equations 11th Grade equation_solver
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`).
2411 linear functions and affine functions | equations of lines and linear systems | equations 9th Grade equation_straight_line
N°2413 (equations) : The purpose of this exercise is to find the equation of a line from two points.

Exercise example :

Determine the reduced equation of the line passing through the points A(3;5 )and B(2;4).
2413 linear functions and affine functions | equations of lines and linear systems | equations 9th Grade | 10th Grade equation_straight_line

Equations : Find calculators, course reminders to help you solve the quizzes and games.

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Corrected online exercises on equations