Practice work Algebra grade 10 silverton PDF

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Grade 10

Mathematics

intervention programme

Key 4 Algebra, expressions and Exponents [email protected]

Mr Cossa SW Homework

Expanding and Simplify fully where appropriate 𝟗

𝒙

a. (𝟑 − 𝒙𝟐 )𝟐

𝟏 𝟏 𝟑 )(𝟗𝒂 + 𝟐 + 𝟒𝒂𝟐 ) 𝟐𝒂 𝟏 𝟏 𝟒(𝒚 − 𝒚)(𝒚 + ) 𝒚 𝟔 𝟑 𝒂 𝒂 (𝟑 − 𝒂)(𝟑 − 𝟐 ) 𝒂 𝟑𝒙 𝒚 𝒚 𝟒𝒙𝟐 ( 𝟕 − 𝟖)(− 𝟓 − 𝟒 )

b. (𝟑𝒂 − c. d. e.

Homework Factorise the following expressing a. b. c. d.

𝟔𝒙𝟐 + 𝟏𝟒𝒙 + 𝟖 𝟏𝟔𝒚𝟑 − 𝟏𝟓𝟎 𝟏 − 𝒙 − 𝒙𝟐 + 𝒙𝟑 𝒋(𝟔𝟒𝒏𝟑 − 𝒂𝟑 ) + 𝒌(𝟔𝟒𝒏𝟑 − 𝒂𝟑 ) 𝟏

e. (𝟐 𝒙𝟐 − 𝟐𝟒𝒃𝟒 ) f. g. h. i.

𝟒𝒙𝟒 + 𝟏𝟏𝒙𝟐 + 𝟔 𝟐𝟓𝒅 − 𝟏𝟓𝒎 + 𝟓𝒚𝒅 + 𝟑𝒚𝒎 𝟐𝟕𝒂𝟑 𝒑𝟑 + 𝟏 𝟗𝒃𝟐 (𝒂 − 𝟑) − 𝟏𝟔𝒙𝟐 (𝒂 − 𝟑)

Homework Simplify the following fractions without using the calculator a. b. c. d. e.

𝒎𝟐 +𝟏𝟏𝒎+𝟏𝟖 𝟒𝒎𝟐 −𝟏𝟔 𝒕𝟐 +𝟗𝒕+𝟏𝟖 𝟓𝒕𝟐 −𝟒𝟓 𝒂−𝟐 𝒂𝟐 +𝟒𝒂+𝟑

÷ ÷

𝒂+𝟔 𝒂𝟐 +𝟏𝟐𝒂+𝟏𝟏 𝒙𝟐 −𝟓𝒙−𝟏𝟒 𝟑𝒙+𝟔

÷

𝟑𝒎𝟐 +𝟐𝟕 𝟐𝟒𝒎𝟐 −𝟒𝟖𝒎

𝟒𝒕𝟐 +𝟐𝟒𝒕 𝟏𝟎𝟎𝒕𝟐 −𝟑𝟎𝟎𝒕 (𝒂−𝟏)(𝒂+𝟏) 𝒂−𝟏

𝑿

𝑿

𝒂𝟐 +𝟏𝟏𝒂+𝟑𝟑 𝒂+𝟑

𝒂𝟐 −𝟐𝒂−𝟏𝟓 𝒂−𝟐

÷

𝒂𝟑 +𝟐𝟏𝟔 𝒂+𝟏

Grade 10

Mr Cossa SW

Mathematics

intervention programme

Key 4 Algebra, expressions and Exponents [email protected]

Homework Simplify the following fractions without using a calculator a. b. c. d. e.

5 12 + 𝑧+12 𝑧−5 𝑏2 +6𝑏+9 𝑏2 −9 1 2

𝑥+

1−2𝑎 4𝑎 2 −1

+

𝑥−2 3

−

𝑥 2 −3𝑥+9 𝑥 2 +27

𝑏2 −6𝑏+8 𝑏2 +𝑏−6

+

1 𝑏+3

+4

𝑎−1 2𝑎 2 −3𝑎+1

+

1

− 1−𝑎

1 𝑥−2 − 𝑥−2 𝑥 2 +4𝑥+3...