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Generator Worksheets by grade Printables Blog Pricing

Math Sheet Studio

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Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 Algebra 1 Geometry Algebra 2 Calculus

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Unit test: 20 questions, easy to hard, 2 points each, roomy spacing. Keeps your selected skills.

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Complex numbers

Operations with complex numbersHSN.CN.A.2Powers of iHSN.CN.A.2Quadratic equations with complex solutionsHSN.CN.C.7

Polynomial functions

Dividing polynomials (long and synthetic division)HSA.APR.D.6The remainder and factor theoremsHSA.APR.B.2Finding zeros of polynomialsHSA.APR.B.3Factoring sums and differences of cubesHSA.SSE.A.2The binomial theoremHSA.APR.C.5Graphs of polynomial functionsHSF.IF.C.7c

Rational expressions & functions

Simplifying rational expressionsHSA.APR.D.6Multiplying and dividing rational expressionsHSA.APR.D.7Adding and subtracting rational expressionsHSA.APR.D.7Solving rational equationsHSA.REI.A.2Asymptotes and holes of rational functionsHSF.IF.C.7d

Exponential & logarithmic functions

Exponential and logarithmic formHSF.BF.B.5Evaluating logarithmsHSF.LE.A.4Properties of logarithms (expanding and condensing)HSF.LE.A.4Solving exponential equationsHSF.LE.A.4Solving logarithmic equationsHSF.LE.A.4Compound and continuous interestHSA.SSE.B.3c

Functions

Composition of functionsHSF.BF.A.1cInverse functionsHSF.BF.B.4aTransformations of functionsHSF.BF.B.3Evaluating piecewise functionsHSF.IF.C.7b

Sequences & series

Arithmetic seriesHSA.SSE.B.4Geometric series (finite and infinite)HSA.SSE.B.4

Matrices

Adding, subtracting and scaling matricesHSN.VM.C.8Multiplying matricesHSN.VM.C.8Determinants of 2 × 2 and 3 × 3 matricesHSN.VM.C.12Inverse of a 2 × 2 matrixHSA.REI.C.9

Systems of equations

Systems of three linear equationsHSA.REI.C.6

Conic sections

Parabolas: vertex, focus and directrixHSG.GPE.A.2Ellipses and hyperbolasHSG.GPE.A.3

Trigonometric functions

Converting between radians and degreesHSF.TF.A.1Exact values on the unit circleHSF.TF.A.3Amplitude, period and midline of trig graphsHSF.TF.B.5

Counting

Permutations and combinationsHSS.CP.B.9

Each skill gets its own section. Up to 8 skills per sheet.

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(ax + b)ⁿ

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1. The binomial theorem

Questions

Difficulty

Planned: 12 / 60 questions

12 questionsSign in to download PDFsSettingsShow answers

Name ______________________Date ____________Score ____ / 12

The binomial theorem practice

The binomial theorem · 1–12

Expand, or find the coefficient asked for.

Medium

1.(2x + 2)³

Medium

2.(2x + 1)³

Medium

3.(2x − 1)⁴

Medium

4.(2x − 2)³

Medium

5.(3x + 1)³

Medium

6.(2x + 3)³

Medium

7.(2x − 3)⁴

Medium

8.(3x − 1)³

Medium

9.(2x − 1)³

Medium

10.(3x − 3)³

Medium

11.(3x + 3)⁴

Medium

12.(2x + 2)⁴

Answer key — The binomial theorem practice

The binomial theorem

1.8x³ + 24x² + 24x + 8

2.8x³ + 12x² + 6x + 1

3.16x⁴ − 32x³ + 24x² − 8x + 1

4.8x³ − 24x² + 24x − 8

5.27x³ + 27x² + 9x + 1

6.8x³ + 36x² + 54x + 27

7.16x⁴ − 96x³ + 216x² − 216x + 81

8.27x³ − 27x² + 9x − 1

9.8x³ − 12x² + 6x − 1

10.27x³ − 81x² + 81x − 27

11.81x⁴ + 324x³ + 486x² + 324x + 81

12.16x⁴ + 64x³ + 96x² + 64x + 16

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