Addition and Subtraction of linear expressions with brackets

Question 1

Is 2(4 + 3) and 2 * 4 + 2 * 3 the same?

Answer 1

Yes

2(4 + 3) = 2 * 7

= 14

2 * 4 + 2 * 3 = 8 + 6

= 14

Question 2

Is 2(4 - 3) and 2 * 4 - 2 * 3 the same?

Answer 2

Yes

2(4 - 3) = 2 * 1

= 2

2 * 4 - 2 * 3 = 8 - 6

= 2

Question 3

Is 2(4x + 3x) and 2 * 4x + 2 * 3x the same?

Answer 3

Yes

2(4x + 3x) = 2 * 7x

= 14x

2 * 4x + 2 * 3x = 8x + 6x

= 14x

Question 4

Is 2(4x - 3x) and 2 * 4x - 2 * 3x the same?

Answer 4

Yes

2(4x - 3x) = 2 * x

= 2x

2 * 4 - 2 * 3 = 8x - 6x

= 2x

Question 5

Is 2(4x + 3) and 2 * 4x + 2 * 3 the same?

Answer 5

Yes

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

= 8x + 6

Question 6

Is 2(4x - 3) and 2 * 4x - 2 * 3 the same?

Answer 6

Yes

2(4x - 3) = 2 * 4x - 2 * 3

= 8x - 6

Question 7

Is -2(4x + 3) and (-2) * 4x + (-2) * 3 the same?

Answer 7

Yes

2(4x + 3) = (-2) * 4x + (-2) * 3

= -8x - 6

Question 8

Is -2(4x - 3) and (-2) * 4x - (-2) * 3 the same?

Answer 8

Yes

-2(4x - 3) = (-2) * 4x - (-2) * 3

= -8x + 6

Question 9

Simplify the exprression

2(x + 3)

Answer 9

2x + 6

Question 10

Simplify the exprression

2(x - 3)

Answer 10

2x - 6

Question 11

Simplify the exprression

-2(x - 3)

Answer 11

-2x + 6

Question 12

Simplify the exprression

-2(x + 3)

Answer 12

-2x - 6

Question 13

Simplify the exprression

4x + 3 + 2(x + 3)

Answer 13

4x + 3 + 2x + 6 = 4x + 2x + 3 + 6

= 6x + 9

Question 14

Simplify the exprression

4x + 3 + 2(x - 3)

Answer 14

4x + 3 + 2x - 6 = 4x + 2x + 3 - 6

= 6x - 3

Question 15

Simplify the exprression

4x + 3 - 2(x - 3)

Answer 15

4x + 3 - 2x + 6 = 4x - 2x + 3 + 6

= 2x + 9

Question 16

Simplify the exprression

4x + 3 - 2(x + 3)

Answer 16

4x + 3 - 2x - 6 = 4x - 2x + 3 - 6

= 2x - 3