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Math worksheet for help, Summaries of Law

Law

Very good math worksheets for studying

Typology: Summaries

2018/2019

Uploaded on 03/12/2024

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MATH 10C UNIT 3 REVIEW (Chapter 3 โ€“ Factors and Products)
1. a) Find the least common multiple for 12, 8 and 40. _______________________
b) Find the greatest common factor of 160, 1000 and 1200. _______________________
c) Find the greatest common factor of 22x2y3, 4xy2 and 42xy. _______________________
d) Find the least common multiple for 8x2, 12x4 and 16x3. _______________________
2. Find the values of s and e in the sketches below.
_______________ _______________
3. Write the factorization shown by the algebra tiles at right. The variable is x.
_________________________
4. List the polynomial factoring techniques, starting with the one that should be tried
first.
5. OPTIONAL QUESTION: Danielle attempts to factor the polynomial 3x2 + 21x โ€“
15, using decomposition. She should try to find two numbers that have a product equal to ______ and a
sum equal to ______.
Factor each expression completely.
6. 7xy3 + 14x4y โ€“ 35x3y4
_______________________
7. a2 + a โ€“ 2
_______________________
8. x2 โ€“ 25
_______________________
9. 9p2 โ€“30p + 25
_______________________
10. 2n2 + 10n + 8
_______________________
11. 3m2 โ€“ 75
_______________________
12. 6n2 โ€“3n โ€“ 9
REVISED January 2018 UNIT 3 REVIEW
Square area
= 169 cm2
s
sCube
volume =
1331 cm3
e
e
e
pf2

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MATH 10C UNIT 3 REVIEW (Chapter 3 โ€“ Factors and Products)

  1. a) Find the least common multiple for 12, 8 and 40. _______________________ b) Find the greatest common factor of 160, 1000 and 1200. _______________________ c) Find the greatest common factor of 22 x^2 y^3 , 4 xy^2 and 42 xy. _______________________ d) Find the least common multiple for 8 x^2 , 12 x^4 and 16 x^3. _______________________
  2. Find the values of s and e in the sketches below.
  3. Write the factorization shown by the algebra tiles at right. The variable is x.
  4. List the polynomial factoring techniques, starting with the one that should be tried first.
  5. OPTIONAL QUESTION: Danielle attempts to factor the polynomial 3 x^2 + 21 x โ€“ 15, using decomposition. She should try to find two numbers that have a product equal to ______ and a sum equal to ______. Factor each expression completely.
  6. 7 xy^3 + 14 x^4 y โ€“ 35 x^3 y^4
  7. a^2 + a โ€“ 2
  8. x^2 โ€“ 25
  9. 9 p^2 โ€“30 p + 25
  10. 2 n^2 + 10 n + 8
  11. 3 m^2 โ€“ 75
  12. 6 n^2 โ€“3 n โ€“ 9 REVISED January 2018 UNIT 3 REVIEW Square area = 169 cm^2 s s Cube volume = 1331 cm^3 e e e

2x + 3 x + 5 11 3

_______________________

  1. Expand and simplify. a) (-3 x + y )(โ€“ 2 x + 4 y + 5)
    b) ( a โ€“ 2)( a + 2) โ€“ ( a + 3)( a + 3)
    c) (4 p + 1)(-4 p + 1)
    d) (2 n โ€“ 1)( n โ€“ 5) + ( n + 6)(3 n + 4)
  2. State the factoring technique that you would use to factor each of the following, then factor each expression completely. Techniques include common factor, quadratic (decomposition), difference of squares and perfect squares. a) - x^2 + 121 ______________________ b) 36 x^2 + 96 xy + 64 y^2 ______________________ c) 22 mn โ€“ 33 mn^4 + 11 mn^3 ______________________ d) 2 x^2 โ€“ 7 x โ€“ 15 ______________________
  3. Find and simplify an expression for the shaded area in the figure. If x = 2 inches, find the shaded area.
  4. Use a factoring technique to determine if each expression is a perfect square, a perfect cube, or neither. a) 121 __________ b) 729 __________ c) 1000 __________ d) 128 __________ e) 3375 __________ f) 400 __________
  5. Use an area model to show and determine the product of (3 d + 7)(-2 d + 5). REVISED January 2018 UNIT 3 REVIEW