Mathematics Problem Solving Quiz

What must be subtracted from a^3 - 4a^2 + 5a - 6 to obtain a^2 - 2a + 1?

• a^3 - 5a^2 + 7a - 7

• a^3 - 4a^2 + 7a - 6

• a^3 - 5a^2 + 5a - 7

• None of these

By how much does 1 exceed 2x - 3y - 4?

• 3y - 2x + 3

• 3y + 2x + 3

• 2x - 3y - 5

• 3y - 2x + 5

How much less than 1 - 2m + 3n is 2l - 4m - n?

• 1 - 2m - 4n

• -1 + 2m + 4n

• -1 + 2m - 4n

• 1 - 2m + 4n

If x = -2, y = -1 and z = 3, what is the value of x^2 + y^2 - z^2?

• -2

• -4

• -8

• -12

What is the coefficient of m in -712mn?

• -7

• -712

• -712n

• None of these

If x = 4, y = -1 and z = -2, what is the value of 2x^2 - y^2 + 3z^2?

• 42

• 43

• 41

• 45

What must be added to 5x^3 - 2x^2 + 6x + 7 to make x^3 + 3x^2 - x + 1?

• -4x^3 + 3x^2 - 6x - 7

• -4x^3 + 5x^2 - 7x - 6

• 4x^3 + 3x^2 - 7x - 6

• None of these

By how much is 2x - 3y + 4z greater than 2x + 5y - 6z + 2?

• 8y - 10z + 2

• -8y + 10z - 2

• 8y - 10z - 2

• -8y + 10z + 2

Simplify 2x - [3y - {2x - (y - x)}]

• 4x - 5y

• 5x - 4y

• 5x - 6y

• 5x - 3y

Solve: (2m/3) + 8 = (m/2) - 1

• 54

• -54

• 52

• -52