Pre-Requisite Skills For Honors Algebra II

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Pre-Requisite Skillsfor Honors Algebra IIThe first week of the course will be spent revisiting essential skills for thiscourse. It is your responsibility to do whatever you need to review thesetopics from prior math courses in order to successfully move on with theactual content of Honors Algebra II. The following are suggested ways ofreviewing this material: Test yourself by trying it on your own firstWork with a friend on topics you struggled withLook in the textbooks provided during class timeWatch videos on Khan Academy or at other credible sitesMake a phone call to Rose Hulman’s Homework HotlineAsk your teacher specific questionsReview any topics that were difficult for you

Classifying NumbersClassify the following numbers asnatural, whole, integer, rational,irrational, and/or real.1)162) -33) 04)1355) 3.333336)3Notes:

Rounding vs Truncatinga) Round the following numbers and b)truncate the following numbers tothe hundredths.1) 3.3765a)b)2) -12.4444a)b)Notes:

Order of OperationsSimplify the following using the correctorder of operations.1) 4 – 3[4 –2(6 – 3)] 22) –{2x – [3 – (4 – 3x)] 6x}3) 6 16 4 22 224) -3x – (-4x) (-2)45) -32 –2𝑥 62 4xNotes:

Simplify FractionsSimplify and write as a single (proper orimproper) fraction.1)𝑥52)4𝑦3 2𝑥3 2𝑦6123) 4 3 2 74) 1 755) 2z 5𝑧3Notes:

Evaluate the Algebraic Expression1) 𝑎2𝑏2)𝑚 1 𝑚2𝑟𝑓𝑜𝑟 𝑎 2, 𝑏 3𝑓𝑜𝑟 𝑚1 2, 𝑚2 3, 𝑟 10Notes:

Exponent ExpressionsSimplify completely.1) 3 32) -5x03) 𝑡 5 𝑡 74) 2𝑦 55)6)32𝑥𝑧 66𝑥 3 𝑧 8𝑎2 𝑏 2 𝑐 3 1𝑎4 𝑏 3 2 𝑐 4 2Notes:

Scientific NotationWrite in scientific notation.1) 0.000003452) 187,000,000,000Write in decimal form.3) 2.134 10 74) 3.65809 109Write in single scientific notation.5) (2.45 X 10-10) (5.79 X 1022)6) (4.72 X 1032)/(1.29 X 10-5)Notes:

Standard Form PolynomialsWrite in standard form and state thedegree and number of terms.1) 2𝑥 3 3𝑥 4 𝑥 2 5 6𝑥2) 2 4𝑥 2 6xNotes:

Polynomial ExpressionsSimplify the polynomials and write instandard form.1) 2𝑥 2 3𝑥 2 𝑥 2 2𝑥 42) 4 2𝑥 8𝑥 2 2 3 3𝑥3) 𝑥 1 𝑥 2 2𝑥 34) 𝑟 32𝑟 325) A rectangular sheet of paper is used toconstruct a box by cutting out squares oflength x from each corner. If the originalsheet of paper is 8 ft. by 15 ft., what isthe volume of the box?Notes:

FactoringFactor out the greatest common factor.1) 𝑥 3 𝑥 2 2𝑥2) 15𝑧 2 25𝑧3) 2𝑟 2 8Notes:

More FactoringFactor completely.1) 1 𝑡 42) 4𝑥 2 813) 25𝑥 2 20𝑥𝑦 4𝑦 24) 10𝑥 2 31𝑥 15Notes:

Even More FactoringFactor completely.1) 64𝑚 𝑚42) 𝑤 3 1253) 𝑥 3 3𝑥 2 2𝑥 64) 6𝑥 2 𝑥 2Notes: