Corrected exercises on equations

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

16 exercises

N°1336 (solving 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 (solving 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 (solving 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 (solving 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 (solving 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 (solving 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 (solving 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 (solving 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°1501 (solving 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 (solving 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 (solving 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 (solving 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 (solving 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°1601 (solving equations) : The goal of this corrected exercise is to calculate the discriminant of a second degree polynomial from its algebraic form.

Exercise example :

Compute the discriminant of the following polynomial: `2*x^2+4*x`.
1601 second degree polynomials | solving equations 11th Grade discriminant
N°1602 (solving 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 (solving 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

The solving equations topic is available for : 10th Grade, 11th Grade

List of exercises by class : all levels, 6th Grade, 7th Grade, 8th Grade, 9th Grade, 10th Grade, 11th Grade, 12th Grade.

Online exercises on solving equations of the 1st degree and 2nd degree