Algebra Grade 6

Algebraic Expressions

100

A number x is increased by 10.

x +10

200

A basket has y apples. 4 are removed.

y - 4

300

Three times a number x decreased by 2 is 13.

3x -2 =13

400

The sum of three consecutive odd numbers starting from x

x + (x+ 2) + (x + 4) = 3x + 6

500

Rina has x chocolates. Her brother gives her 3 times that amount, and she eats 5.

x +3x - 5 = 4x - 5

Add

100

(3x + 5) + (2x +7)

5x + 12

200

(2x + 3) + (5x - 1)

7x + 2

300

(8m − 3) + (2m + 7)

10m + 4

400

(5a + 1) + (2a + 6) + (3a + 4)

10a + 11

500

(6y - 2) + (3y - 7) + (5 - y)

8y - 4

Subtract

100

(8a + 7) − (5a + 4)

3a + 3

200

(5x + 3) − ( 2x − 4)

3x + 7

300

(9m − 6) − ( 3m − 2)

6m − 4 

400

(9y + 6) − (4y + 2) − (y - 3)

4y + 7

500

(9m + 7n + 5) − (4m − 2n + 3)

5m + 9n + 2

Multiply

100

3x (2x + 5)

6x² + 15x

200

(x + 2)(x + 3)

x² + 5x + 6

300

Length = (x + 2), Breadth = (x  - 3)
Find the area.

x² - x - 6

400

2x (x + 3)+3x (x + 4)

5x²+18x

500

(y + 6) (y − 4) + (y + 2) (y + 5)

2y² + 9y − 14

Divide

100

20a² / 5a

4a

200

18p⁵ / 6p²

3p³

300

(6r² + 9r) / 3r

2r + 3

400

(12y⁷ - 36y³) / 12y²

y⁵ - 3y

500

(16a⁶ + 4a⁴ - 12a²) / 2a² 

8a⁴ + 2a² - 6