Solving word problems
Solve algebra word problems in Grade 9 by setting up and solving linear equations. Identify unknowns, translate conditions into equations, and verify solutions match the original problem.
Key Concepts
Property To solve word problems, translate the scenario into an equation where two different situations are set equal to each other.
Examples Company A: $18.95 + 0.04m$. Company B: $21.95 + 0.02m$. Set them equal to find they cost the same at $m=150$ minutes. Fitness member: $125 + 5d$. Non member: $10d$. The costs are the same after $d=25$ days.
Explanation Turn real world puzzles into math! Set up an equation where two plans or costs are equal. For example, find when two phone plans with different monthly fees and per minute rates cost the same. Let a variable represent the unknown, like minutes, and solve to find the break even point where the costs match up.
Common Questions
What are the steps to solve a math word problem?
Read carefully, identify the unknown and assign a variable, write an equation from given information, solve it, then check your answer in the original context.
How do you solve mixture or rate word problems?
Use quantity × rate = total or distance = rate × time. Define variables, write equations for each condition, then solve the system or single equation.
What strategies help with difficult word problems?
Draw a diagram, make a table, work backwards from the answer, or try a simpler version first. Always label what your variable represents with units.