The proposed algebra exercises are varied and cover several essential aspects of the U.S. school curriculum for different grades.
For 6th grade students, the exercises mainly focus on expanding and factoring simple algebraic expressions. These exercises allow students to understand the basics of algebraic calculations by applying fundamental expansion and factoring techniques.
In 7th grade, the exercises become more complex with tasks of simplifying algebraic expressions and solving equations. Students are encouraged to solve first-degree equations or simplify expressions. These exercises aim to strengthen students' skills in algebraic manipulation and problem-solving.
In 8th grade, algebra exercises include special products (identity properties). These tasks help students recognize and use special products to simplify and solve more complex algebraic expressions.
For high school students, the exercises focus on the expansion and reduction of polynomials, as well as the factoring of higher-degree polynomials. These exercises prepare students for advanced algebra concepts and polynomial functions.
All these exercises allow students to progress in a structured and gradual manner in the field of algebraic calculations, strengthening their methodological skills and preparing them for standardized tests and college entrance exams.
22 exercisesExercise example N°1239 :
Expand the following expression `2*(8+x)`?
algebraic calculus literal computation expansion of algebraic expressions 7th Grade expand
This exercise allows to practice developing an algebraic expression by using different techniques of algebraic calculation.
Exercise example N°1240 :
Factor the following expression `12+4*x`.
algebraic calculus literal computation expansion of algebraic expressions factoring 7th Grade factor
This exercise allows to practice factoring an algebraic expression by using different techniques of algebraic calculation.
Exercise example N°1325 :
Simplify the following expression `1+5*z+2*z^2+5+4*z+z^2+4+2*z+5*z^2`.
expansion of algebraic expressions algebraic calculus 8th Grade simplify
This exercise allows you to practice the techniques of simplifying algebraic expressions that contain a single letter.
Exercise example N°1326 :
Expand the following expression `(-4*a-8*b)*(5*a+3*b)`.
literal computation algebraic calculus 7th Grade 8th Grade expand_and_simplify
The objective of this algebraic calculus exercise is to expand an algebraic expression.
Exercise example N°1327 :
Compute the following expression `2+x+9+4*y` for x=4 ,y=6.
literal computation algebraic calculus 8th Grade
The objective of this exercise is to calculate an algebraic expression by replacing letters with a given value.
Exercise example N°1328 :
Compare the following two expressions `90/10` ... `27/10`.
comparisons of numbers, fractions, expressions fractions Numbers algebraic calculus 8th Grade compare_fractions
The objective of this solved exercise is to compare two fractions using the correct operator.
Exercise example N°1330 :
I have a number, I add 27 to it, I subtract 22 from the result and I get 43, what is this number?
algebraic calculus literal computation Numbers 8th Grade equation_solver
The objective of this math exercise is to equate a simple problem to solve it.
Exercise example N°1336 :
Solve the following equation: 4*y-4=6.
solving equations algebraic calculus literal computation equations 8th Grade equation_solver
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.
solving equations algebraic calculus literal computation equations 8th Grade equation_solver
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.
solving equations algebraic calculus literal computation equations 8th Grade equation_solver
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?
solving equations algebraic calculus literal computation equations 8th Grade equation_solver
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?
solving equations algebraic calculus literal computation equations 8th Grade
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?
solving equations algebraic calculus literal computation equations 8th Grade percentage
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?
solving equations algebraic calculus literal computation equations 8th Grade percentage
The purpose of this math exercise is to determine a percentage from two given integers.
Exercise example N°1412 :
Using the appropriate special expansion develop the following expression `(8*a+5*b)*(8*a-5*b)`.
algebraic calculation and remarkable identities algebraic calculus 9th Grade expand
The purpose of this exercise is to develop an algebraic expression using the most suitable remarkable identity.
Exercise example N°1413 :
Using the appropriate remarkable identity calculate the following expression `999^2`.
algebraic calculation and remarkable identities algebraic calculus 9th Grade expand
The purpose of this exercise is to calculate the square of a number using a remarkable identity.
Exercise example N°1430 :
Factor the following expression `x^2-20*x`.
algebraic calculation and remarkable identities numbers and equations factoring algebraic calculus 9th Grade 10th Grade factor
The purpose of this corrected algebraic calculus exercise is to factor an algebraic expression that involves squares.
Exercise example N°1431 :
Factor the following expression `9*x^2-49`.
algebraic calculation and remarkable identities numbers and equations factoring algebraic calculus 9th Grade 10th Grade factor
The purpose of this exercise is to factor an algebraic expression using a remarkable identity of the form a² - b².
Exercise example N°1631 :
polynomial functions algebraic calculus 11th Grade degree
The purpose of this exercise is to practice developing a polynomial and determining its degree.
Exercise example N°1632 :
polynomial functions algebraic calculus 11th Grade degree
The goal of this exercise is to practice developing a polynomial with remarkable identities and determining its degree.
Exercise example N°1633 :
polynomial functions factoring algebraic calculus 11th Grade factor
The goal of this exercise of algebraic calculation is to factor a polynomial of degree 3 knowing one of its roots.
Exercise example N°1634 :
Compute the roots of P(x) =`-4+8*x+3*x^2-x^3`.
polynomial functions algebraic calculus 11th Grade 12th Grade equation_solver
The goal of this exercise of algebraic calculation is to determine the values for which a polynomial of degree 3 is equal to 0.