Grade A Quadratic Equations needing rearrangement Solve quadratic

Grade A Quadratic Equations (needing rearrangement) Solve quadratic equations that need rearrangement If you have any questions regarding these resources or come across any errors, please contact helpful-report@pixl. org. uk

Key Vocabulary Algebraic Fraction Denominator Product Quadratic Solve

How to solve a quadratic by rearranging We can be given an equation to solve which appears to be linear but is actually quadratic. Step 1: Multiply the whole equation by the denominator Step 2: Expand the brackets Step 3: Make the equation equal to zero Step 4: Factorise Step 4: Solve for x.

How to solve a quadratic by rearranging Step 1: Multiply the whole equation (every term) by BOTH denominators. Step 2: Expand the brackets Step 3: Make the equation equal to zero Step 4: Factorise Step 4: Solve for x. Step 5: Substitute values back in to equation to check they are correct.

Now you try. . . Solve these quadratics by rearranging

Now you try. . . Solve these quadratics by rearranging a) x=3, x=2 b) x=3, x=-7 c) x=4, x=-1 d) x=-2, x=3 e) x=-0. 375, x=2 f) x=-0. 584, x=0

Problem Solving and Reasoning Megan is training for a long-distance cycle race. One day she cycles for x hours in the morning, travelling a distance of 60 km. In the afternoon, she cycles for 1 hour more travelling the same distance, but her average speed is 2 km/h slower than in the morning. How many hours did Megan travel in the afternoon? In the morning In the afternoon

Problem Solving and Reasoning Use difference between speeds in morning and afternoon to form an equation Solve the equation In the context of the question, we must ignore -5 as we cannot have negative time. Therefore Megan travelled 7 hours in the afternoon (6+1).

Reason and explain When we multiply this fraction by (x+6), what happens? Explain. Can we simplify this equation by dividing by 3? Justify. How might I deal with this equation? What do you notice?