Grade 8 Math · Topic guide
Expressions & Equations — Grade 8 Math
Compare quantities in scientific notation. Evaluate cube roots. Apply power-of-a-power rule.
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What you’ll learn
- Compare quantities in scientific notation.
- Evaluate cube roots.
- Apply power-of-a-power rule.
- Apply product rule for integer exponents.
Explore the skills
Choose an idea below to read a worked example and try one question.
- Compare quantities in scientific notationCompare quantities in scientific notation.
- Evaluate cube rootsEvaluate cube roots.
- Apply power-of-a-power ruleApply power-of-a-power rule.
- Apply product rule for integer exponentsApply product rule for integer exponents.
- Apply quotient ruleApply quotient rule.
- Interpret y-interceptEnter the y-intercept value, not a point.
- Understand negative integer exponentsUnderstand negative integer exponents.
- Work with powers of tenWork with powers of ten.
- Add/subtract scientific notationAdd/subtract scientific notation.
- Multiply/divide scientific notationMultiply/divide scientific notation.
- Write numbers in scientific notationWrite numbers in scientific notation.
- Calculate slope from two pointsFind the exact slope between the two points.
- Calculate slope from a tableFind the exact constant rate of change in the table.
- Interpret slope in proportional relationshipsInterpret slope in proportional relationships.
- Recognize infinitely-many-solution equationsRecognize when both sides simplify identically and every real number is a solution.
- Recognize no-solution equationsRecognize when equivalent steps lead to a false statement and an equation has no solution.
- Solve linear equations with one solutionGiven a one-variable linear equation with rational coefficients and one solution, use equivalent transformations, including distribution and collecting like terms when needed, to obtain x = a and verify the solution by substitution.
- Solve x² = pSolve x² = p.
- Solve x³ = pSolve x³ = p.
- Evaluate square rootsEvaluate square roots.
- Solve simple systems by eliminationSolve by elimination. Enter a valid one-variable result or the final system solution.
- Solve systems graphicallyFind the exact point that satisfies both graphed equations.
- Solve simple systems by substitutionSolve the system by substitution. You may enter a valid one-variable result or the final point.
- Model real situations with systemsModel real situations with systems.
- Understand y = mxWrite the proportional linear equation with this slope through the origin.
- Understand y = mx + bWrite a linear equation with the given slope and y-intercept.
- Understand zero exponentUnderstand zero exponent.