Corrected online exercises to prepare for mathematics exams.

Here is the list of corrected exercises for the preparation of mathematics exams. Each corrected exercise is accompanied by indications, reminders of the course, and methodological advice, which allows you to practice independently.

6 exercises

Exercise example N°1436 :

    Let `A=3/8+10/6-8/4` , `B=-8*sqrt(24)-4*sqrt(216)-5*sqrt(54)-1*sqrt(54)` and `C=(18*10^5*3*10^6)/(6*10^11)`
  1. Compute A and give the result as an irreducible fraction.
  2. Write B in the form `a*(sqrt(6))` where a is a relative integer.
  3. Write C as an integer.

mathematics exams and competitions fractions Numbers square roots 9th Grade fraction

The objective of this exercise is to reduce a fraction, simplify a square root, and calculate a fraction that contains powers.

Exercise example N°1437 :

  1. Compute the GCD of the numbers 5104 and 968.
  2. Write the fraction `5104/968` in irreducible form.

mathematics exams and competitions fractions Numbers integers and rational numbers 9th Grade fraction

The objective of this exercise is to calculate the gcd of two numbers and simplify a fraction.

Exercise example N°1438 :

    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`.

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

The purpose of this exercise is to practice factoring, expanding, simplifying algebraic expression and solving equation.

Exercise example N°1439 :

    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`.

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

The purpose of this exercise is to practice factoring, expanding, simplifying algebraic expression and solving equation.

Exercise example N°1440 :

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?

mathematics exams and competitions solving equations and inequations of the first degree equations 9th Grade equation_solver

The objective of this exercise is to equate a problem in order to solve it.

Exercise example N°1441 :

  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.
  2. What is the price of a box?
  3. What is the price of an album?

mathematics exams and competitions equations of lines and linear systems equations 9th Grade solve_equations

The purpose of this exercise is to use a system of two equations with two unknowns to solve a problem.

The mathematics exams and competitions topic is available for : 9th Grade