Algebra Revision Quiz (H) P2: Maths
Algebra is a branch of mathematics that uses letters, symbols, and numbers to represent and manipulate mathematical expressions and equations. In GCSE Mathematics, algebra is an important tool for solving various mathematical problems, including word problems, equations, and inequalities.
For example, consider the equation:
3x + 5 = 20
In this equation, the variable "x" represents an unknown quantity we must solve. By using algebraic techniques, we can rearrange the equation to isolate the variable on one side of the equation:
3x + 5 - 5 = 20 - 5
3x = 15
x = 5
Here, we have solved for the value of "x" by using algebra to isolate it on one side of the equation.
For example, consider the function:
f(x) = 2x + 3
In this function, the variable "x" represents the input, and the expression "2x + 3" represents the output. To evaluate the function for a specific input value, we substitute that value for "x" and simplify the expression.
For example, to evaluate the function at "x = 4", we can substitute 4 for "x" and simplify the expression:
f(4) = 2(4) + 3
f(4) = 8 + 3
f(4) = 11
Here, we have evaluated the function at "x = 4" and obtained the corresponding output value of 11.
For example, consider the quadratic equation:
x2 + 5x + 6 = 0