algebra practice (number and algebraic methods)

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Reporting Category # 1
Number and Algebraic Methods
The student will demonstrate an understanding of how to use algebraic methods to manipulate
numbers, expressions, and equations.
(A.10) The student applies the mathematical process standards and algebraic methods to rewrite in
equivalent forms and perform operations on polynomial expressions. The student is expected to:
(A) Add and subtract polynomials of degree one and degree two (*SS*)
1.
2016 – Q2
(B) Multiply polynomials of degree one and degree two (*SS*)
2.
2016 – Q54
(C) Determine the quotient of a polynomial of degree one and
polynomial of degree two when divided by a polynomial of
degree one and degree two when the degree of the divisor does
not exceed the degree of the dividend (*SS*)
NO test questions 2013 – 2016
(D) Rewrite polynomial expressions of degree one and degree
two in equivalent forms using the distributive property (*SS*)
3.
2016 – Q15
4.
2015 – Q19
5.
2014 – Q47
6.
2013 – Q9
(E) factor, if possible, trinomials with real factors in the form
𝒂𝒙𝟐 + 𝒃𝒙 + 𝒄 , including perfect square trinomials of degree two
(***RS***)
7.
2016 – Q6
8.
2016 – Q49
9.
2015 – Q25
10.
2013 – Q53
(F) decide if a binomial can be written as the difference of two
squares and, if possible, use the structure of a difference of two
squares to rewrite the binomial (*SS*)
11.
2016 – Q25
(A.11) The student applies the mathematical process standards and algebraic methods to rewrite
algebraic expressions into equivalent forms. The student is expected to:
(A) Simplify numerical radical expressions involving square roots (*SS*)
No test questions 2013 – 2016
(B) Simplify numerical and algebraic expressions using the laws of
exponents, including integral and rational exponents (***RS***)
12.
2016 – Q10
13.
2016 – Q31
14.
2015 – Q12
15.
2014 – Q50
16.
2013 – Q51
(A.12) The student applies the mathematical process standards and algebraic methods to write, solve,
analyze, and evaluate equations, relations, and functions. The student is expected to:
(A) decide whether relations represented verbally, tabularly,
graphically, and symbolically define a function (*SS*)
17.
2016 – Q36
18.
2015 – Q46
19.
2014 – Q19
20.
2013 – Q32
(B) evaluate functions, expressed in function notation,
given one or more elements in their domains (*SS*)
21.
2015 – Q48
22.
2014 – Q42
23.
2013 – Q8
24.
2016 – Q27
25.
2013 – Q14
26.
2013 – Q20
27.
2013 – Q24 (?)
28.
2013 – Q49
(C) identify terms of arithmetic and geometric sequences when the
sequences are given in function form using recursive processes (*SS*)
No test questions 2013 – 2016
(D) write a formula for the nth term of arithmetic and geometric
sequences, given the value of several of their terms (*SS*)
29.
2014 – Q23
30.
2013 – Q13 (?)
(E) solve mathematic and scientific formulas, and other
literal equations, for a specified variable (*SS*)
31.
2016 – Q18
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