Algebra (higher) Flashcards

1
Q

Find the value of 4b + 3 when b = 2.5

A

13

Workings

4(2.5) + 3

= 10 + 3

= 13

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2
Q

Expand the bracket

5h(3h - 2)

A

15h2 - 10h

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3
Q

Expand and simplify

5k(3m + 4) - 2m(3 - 2k)

A

19km + 20k - 6m

Workings

15km + 20k - 6m + 4km

19km + 20k - 6m

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4
Q

Factorise

8abc + 6bed

A

2b(4ac + 3ed)

Reasoning:

The highest common factor of six and eight is two and the only common letter is b.

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5
Q

Factorise

8ab2 + 2ab - 4a2b

A

2ab(4b + 1 - 2a)

Reasoning:

The highest common factor of eight, two and four is two and the only letters they have in common is ab.

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6
Q

Expand

(x+ 3)(x + 2)

A

x2 + 5x + 6

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7
Q

Expand

(4d - 1)(3d +2)

A

12d2 + 5d - 2

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8
Q

Expand

(4x + 3)(x - 5)

A

4x2 - 17x - 15

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9
Q

Expand

(5 + 2t)(5 - 2t)

A

25 - 4t2

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10
Q

Expand

(x + 7)2

A

x2 + 14x + 49

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