We can find the value of an expression when given the values of \(x\), \(y\), etc. To find the value of an expression, we need to substitute the given values for \(x\) and \(y\) into \(3x + 5y\).

Two of the terms involve \(x\) and two involve \(y\). Now we can combine the \(x\) terms and combine the \(y\) terms to get \(3x + 2y\).

Algebra can be demystified with the right approach. Transforming word problems into mathematical expressions is crucial, alongside using formula sheets and colour-coding equations for clarity.

For ax 2 + bx + c = 0, (α, β) = [–b ± √(b 2 – 4ac)]/2ac, where α and β are the roots of the equation. Sum of roots = –b/a Product of roots = c/a If roots of a quadratic equation are given, then the ...

Courtney Gibbons is affiliated with the Association for Women in Mathematics and the American Mathematical Society. You might remember learning about the quadratic formula to figure out the solutions ...

You scrambled up a Rubik's cube, and now you want to put it back in order. What sequence of moves should you make? Surprise: You can answer this question with modern algebra. Most folks who have been ...

SANTA CRUZ – Instead of shooting paint-ball guns with friends or loafing at home, 15-year-old Nash McQuaide has spent a chunk of summer break hunkered down trying to solve algebraic equations.