GCSE Secondary Maths Age 13-17 - Algebra: Algebra - Advanced - Explained

What is the first step in simplifying a numerical fraction like 50/100?

• Add 5 to both top and bottom

• Subtract 5 from both top and bottom

• Multiply both top and bottom by 2

• Divide both top and bottom by 10

When factorizing the expression x^2 + 5x - 6, which pair of factors is used to achieve the middle term?

• 4 and 3

• 5 and 1

• 3 and 2

• 6 and 1

What is the final simplified form of the expression after canceling common factors?

• 2x + 3 / x - 6

• 2x - 3 / x + 6

• x + 6 / 2x - 3

• x - 1 / x + 6

How many marks are awarded for correctly factorizing the numerator in the simplification problem?

• One mark

• Two marks

• Three marks

• Four marks

In the equation M/V - T/B = m - T/R, what is the first step to make M the subject?

• Add T/B to both sides

• Combine the fractions on the left

• Subtract m from both sides

• Multiply both sides by R

What is the common denominator used when combining the fractions M/V and T/B?

• B

• V

• R

• VB

What technique is used to solve the equation after combining fractions?

• Elimination

• Integration

• Substitution

• Cross multiplication

What is the purpose of factorizing in the equation-solving process?

• To isolate the variable M

• To find the common denominator

• To simplify the equation

• To eliminate fractions

What is the key step in isolating M in the equation-solving process?

• Adding all terms to one side

• Cross multiplying

• Combining like terms

• Factorizing the terms with M

What is the final expression for M after solving the equation?

• RTV + VBT / RB + VB

• RB - VB / RTV - VBT

• RB + VB / RTV + VBT

• RTV - VBT / RB - VB