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

Exercise example N°1336 :

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

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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 N°1337 :

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

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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 N°1338 :

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

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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 N°1339 :

My quadruple is equal to 32. Who am I?

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The purpose of this corrected math exercise is to solve an equation written in natural language.

Exercise example N°1340 :

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?

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The purpose of this exercise is to solve a numerical problem by calculating the percentage of a whole number.

Exercise example N°1341 :

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

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The purpose of this math exercise is to calculate a percentage from two numbers.

Exercise example N°1342 :

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

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The purpose of this math exercise is to determine a percentage from two given integers.

Exercise example N°1415 :

Find x such that `x^2`=9.

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The purpose of this corrected math exercise is to solve an equation of the form `x^2=a`.

Exercise example N°1501 :

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

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This corrected exercise allows to practice solving linear equations with one unknown of the form ax+b=0.

Exercise example N°1502 :

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

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The purpose of this exercise on quadratic equations is to practice solving 2nd degree equations and null product equations.

Exercise example N°1503 :

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

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The purpose of this exercise is to solve a second degree equation by reducing it to solving a first degree equation.

Exercise example N°1504 :

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

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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 N°1508 :

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.

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The purpose of this exercise is to solve graphically an equation.

Exercise example N°1601 :

Compute the discriminant of the following polynomial: `2*x^2+4*x`.

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The goal of this corrected exercise is to calculate the discriminant of a second degree polynomial from its algebraic form.

Exercise example N°1602 :

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

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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 N°1603 :

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

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The purpose of this corrected exercise is to use the discriminant of a second degree equation to find its roots.