Word problems - A complete course in algebra.
Many students find solving algebra word problems difficult. The best way to approach word problems is to “divide and conquer”. Break the problem down into smaller bits and solve each bit at a time. First, we need to translate the word problem into equation(s) with variables. Then, we need to solve the equation(s) to find the solution(s) to the word problems. Part 1: Translate the problem.
When solving this problem students will need to create generalised algebraic equations for each part of the question. Students will then need to perform appropriate substitutions and solve the resulting equation. To do this efficiently, they will need to choose carefully and have a confident understanding of substitutions and solving equations involving fractions.
We will continue today's review of algebraic solving techniques with a set of set of equations to solve. To foster independent recall, but provide collaborative support, I will ask my students to use a Think-Pair-Share strategy as they attempt these problems. Think - I have students work on a problem for a minute or two on their own.; Pair - I give students 2 minutes to discuss ideas for how.
Solving algebraic equations boils down to one simple concept: solving for the unknown. The basic idea behind how to do this is simple: what you do to one side of an equation, you must do to the other. As long as you perform the same operation on both sides of the equation, the equation remains balanced. The rest is simply performing a series of arithmetic functions to break apart the complex.
By differentiating equations you can eliminate algebraic variables, and if you do this enough times then the equations take the form of a system of explicit ODEs. The differential index of a system of DAEs is the number of derivatives you must take to express the system as an equivalent system of explicit ODEs. Thus, ODEs have a differential index of 0.
QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students. The algebra section allows you to expand, factor or simplify virtually any expression you choose.
Solving and rearranging all types of equations is a problem solving exercise, so with regular practice, students’ problem solving skills will begin to improve. Problem solving abilities are valued not just for mathematical and scientific study, but this skill is also widely sought after by employers in a range of industries. So algebra might seem daunting now, but regularly using equations.