Photo AI

2 (a) Solve - OCR - GCSE Maths - Question 2 - 2020 - Paper 1

Question icon

Question 2

2-(a)-Solve-OCR-GCSE Maths-Question 2-2020-Paper 1.png

2 (a) Solve. 4x + 3 = 13 (b) Multiply out and simplify. 5(2x + 3) + 2(x - 4)

Worked Solution & Example Answer:2 (a) Solve - OCR - GCSE Maths - Question 2 - 2020 - Paper 1

Step 1

Solve. 4x + 3 = 13

96%

114 rated

Answer

To solve for xx, start by isolating the variable.

  1. Subtract 3 from both sides: 4x+3−3=13−34x + 3 - 3 = 13 - 3 This simplifies to: 4x=104x = 10

  2. Divide both sides by 4: x=104=52x = \frac{10}{4} = \frac{5}{2}

Thus, the solution is:

x=52x = \frac{5}{2}

Step 2

Multiply out and simplify. 5(2x + 3) + 2(x - 4)

99%

104 rated

Answer

To multiply out and simplify, follow these steps:

  1. Distribute the factors: 5(2x+3)+2(x−4)=(10x+15)+(2x−8)5(2x + 3) + 2(x - 4) = (10x + 15) + (2x - 8)

  2. Combine like terms: 10x+15+2x−8=10x+2x+15−810x + 15 + 2x - 8 = 10x + 2x + 15 - 8 This simplifies to: 12x+712x + 7

The simplified expression is:

12x+712x + 7

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;