algebra review part 1 worksheet - jensenmath review part 1 worksheet...microsoft word - algebra...
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Algebra Review (Part 1) MPM2D Jensen Name:________________________ Section 1: Adding and Subtracting Polynomials
1) (6k – 4) + (2k + 4) 2) (n + 3) + (3n – 5)
3) (2a + 1) – (4a + 2) 4) (5 – 3m) - (2m – 1)
Section 2: Distributive Property
1) 3(x-y) 2) 5(2x+5y-5)
3) -4(x+3)+2(2x-1) 4) !!2𝑥 − 6 − !
!(9𝑥 − 6)
5) 3x(2x+5) 6) 2x2(3x3-5x+1)
Section 3: Exponent Laws
Simplify the following and evaluate where possible:
𝟏) 4! ∗ 4! 2) 2𝑛! ∗ 5𝑛!
3) 𝑥! ∗ 𝑥!" 4) 9𝑥𝑦! ∗ 3𝑥!𝑦!
5) (k3)5 6) (2b2)4
7) 7𝑣! ∗ 10𝑢!𝑣! ∗ 8𝑢𝑣! 8) 5(x3)4
9) !!
! 10) !!
!
!!
11) !"!!
!!! 12) !!!
!"!!!
13) !"!!!
!!!!! 14) !!
!!!!! ∗(!!!!)!!!!"!!
15) !!!
!!! 16) 4a3b2
⋅ 3a−4b−3
17) !!! ∙ !!!!!
!!
Section 4: Application 1) On a multiple-choice test, you earn 1 point for each correct answer and the lose 2 points for each incorrect answer.
a. Write an expression for a student’s total score.
b. Tim answered 22 questions correctly and 3 incorrectly. Find Tim’s score.
2) The probability of tossing heads with a standard coin is !! , because it is one of two possible
outcomes. The probability of tossing three heads in a row is (!!)! or !
!
a) What is the probability of tossing 6 heads in a row? Write as a simplified fraction.
b) What is the probability of tossing 12 heads in a row? Write as a simplified fraction.
Answers
Section 1 1) 8𝑘 2) 4𝑛 − 2 3) −2𝑎 − 1 4) −5𝑚 + 6 Section 2 1) 3𝑥 − 3𝑦 2) 10𝑥 + 25𝑦 − 25 3) -‐14 4) −5𝑥 + 1 5) 6𝑥! + 15𝑥 6) 6𝑥! − 10𝑥! + 2𝑥! Section 3 1) 256 2) 10𝑛! 3) 𝑥!" 4) 27𝑥!𝑦! 5) 𝑘!" 6) 16𝑏! 7) 560𝑢!𝑣!! 8) 5𝑥!" 9) 125 10) 𝑟!
11) !!!
!
12) !!!
!!!
13) !"!!!!
14) 1 15) !
!!!
16) !"!"
17) !!
!!!
Section 4 1) a) 𝑥 − 2𝑦 b) 16 2) a) !
!" b) !
!"#$