Combining Like Terms & Expanding Single Brackets

Vocabulary

100

What is a term?

In an expression, the parts being added together or subtracted. Example: 4x + 3x + 3y + 7y

200

What are like terms?

Terms that contain the same variable(s) raised to the same exponent. These terms can be combined. Example: 3x + 9x or 7y + 3Y

300

What is an expression?

A mathematical phrase that contains numbers, operations, and/or variables (but no = sign). Example: 5x + 4y + 5 - 2x

400

What is simplify?

What is simplify? To perform all indicated operations and reduce it as much as possible, including combining like terms and expanding brackets. 

500

What is a variable?

A symbol, usually a letter of the alphabet, used to represent a quantity that can change.

Combining Like Terms(Add & Subtract Mix)

100

-7w - 5 + 17w + 15

Answer is 10w + 10

200

19a - 6b - 17a - 3b + 9b - 2a

Answer is 0

300

-2f - 1f - (-6) + 5f

Answer is 2f + 6

400

-5r + 3q - 8q - r

Answer is -6r -5q

500

53t - (-20r) + 17 - 10t

Answer is 43t + 20r +17

Expanding single brackets (simple)

100

2(x+3)

Answer is 2x+6

200

-3(x+4)

Answer is -3x-12

300

3b(a+4)

Answer is 3ab+12b

400

-4x(y-6)

Answer is -4xy+24x

500

-2/3(x-6)

Answer is -2/3x+4

Expanding single brackets (hard)

100

3+2(x+9)

Answer is 2x+21

200

10y-8(4x-5y)

Answer is 50y-32x

300

2(x+4)+5(2x+3y)

Answer is 12x+15y+8

400

3y(2 - 3x) - 2(x +4y)

Answer is -2x -2y-9xy

500

2x(x - 4) - (x - 6)

Answer is 2x²-9x + 6 

True or False? And correct answer is?

100

3(2y-1)=6y-1

False, correct answer is 6y-3.

200

x(x+3)=2x+3x

False, correct answer is x²+3x.

300

6(w+3)-2(w-5)=6w+18-2w-10=4w+8

False, correct answer is 6w+18-2w+10=4w+28.

400

2(3x - 4+7m)=5x-6+9m

False, correct answer is 6x-8+14m.

500

4m(5m+6c+3+4a)=20m²+24mc+12m+16ma

True