Ontario · Grade 9 (MTH1W, de-streamed)
MTH1W.C1.5
Grade 9 de-streamed — Create and solve equations for various contexts, and verify their solutions.
The 3 skills that cover it
- Multi-Step EquationsSolve equations that need distributing, combining like terms, or moving variables to one side.Read the lesson →
- Equations with FractionsClear fractions from an equation by multiplying through by the least common denominator, then solve as usual.Read the lesson →
- Literal Equations & FormulasRearrange a formula to isolate any one of its letters, using the same moves as a numeric equation, and use the rearranged form to solve for the quantity you actually need.Read the lesson →
What a student should be able to do
- Distribute and combine like terms before solving.
- Solve equations with the variable on both sides.
- Recognise equations with no solution or infinitely many solutions.
- Translate multi-step word problems into equations.
- Multiply both sides by the least common denominator to clear fractions.
- Solve equations with fractional coefficients and constants.
- Solve simple proportions as rational equations.
- Check solutions and exclude values that make a denominator zero.
- Solve a formula such as p = 2l + 2w for one of its variables.
- Isolate a variable that appears inside a fraction or multiplied by another letter.
- Choose the rearrangement that matches a given formula.
- Rearrange a formula and then evaluate it for given values.