9th grade math worksheets

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Adding and subtracting polynomials

Grade 9

Add, subtract and multiply polynomial expressions

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What to practice this year

Factoring is the year's workhorse, and it is worth separating from solving. Taking out a common factor, spotting a difference of two squares, and factoring x² + bx + c are three distinct reflexes, and a student who has drilled each one recognizes which to reach for when a quadratic equation finally asks to be solved. The sheets keep them apart for that reason, then bring them together on the equations.

Why these skills come next

Writing a rule from a situation is the year's other direction. The story comes first and the equation is built from it, and a student who can say what the 12 and the 25 in y = 12x + 25 stand for has understood more than one who can only graph it.

Step 1 of 6

Polynomials and factoring

Add and subtract polynomials, then the three factoring reflexes the year turns on.

Step 2 of 6

Quadratic equations

Solve x² + bx + c = 0 by factoring, and tell how many real solutions there are.

Step 3 of 6

Moving a graph

Change the rule and the graph shifts, stretches or flips — read which off the rule.

Step 4 of 6

Writing a rule from a situation

The other direction: build the rule from the story, then say what each number in it stands for.

Step 5 of 6

Sequences

Continue an arithmetic or geometric sequence, or write its rule.

Step 6 of 6

Reaching into geometry: right-triangle trigonometry

Write a ratio as a fraction, then use it to find a missing side or angle — the geometry year's trigonometry, for a student who is ready early.