Combining Like Terms and Equivalent Expressions

Simplify: x + 3x + 6x + x

• 9x

• 11x

• 2x + 9x

• Can't be simplified

Simplify: 10d - 3d + 2e + 4d

• 11d + 2e

• 17d + 2e

• 19de

• Can't be simplified

Simplify: 8q + 3q - 6t + 2q - 4q

• 3qt

• 11q - 6t - 2q

• 9q -6t

• Can't be simplified

What is the equivalent expression for 7k + 4 + 2k?

• 4 + 7k + 2k

• 13k

• 9k + 4

Simplify the expression by COMBINING LIKE TERMS.

Mathematical Equivalence

ON

Nicholas's teacher gave him the final expression "7x+5" and asked him to match this with two correct original expressions given in the list below. Which two original expressions simplify to 7x+5?

• 2x + 1+ 5x + 4

• 10x + 2 - 3x + 3

• x +2 + 4x + 5

• 2x+ 3+ 3x + 4

Nicholas's teacher gave him the final expression "7x+5" and asked him to match this with two correct original expressions given in the list below .Which two original expressions simplify to 7x+5 ?

• 2x + 1+ 5x + 4

• 10x + 2 - 3x + 3

• x +2 + 4x + 5

• 2x+ 3+ 3x + 4

Mrs. Salpietro has 8x+7 feet of rope for a project she is making. But she needs another 15 feet still. How much rope will she have total for her project?

• 8x+22 feet

• 23x + 7 feet

• 30x feet

• 30 feet

To combine like terms in an expression, the terms must have the same ​ ​ (a)   and ​ (b)  

• variable

• exponent

• constant

• coefficients

• coefficient

Simplify:

20y + 19y - 2x + 3x + 2

• 39x + y + 2

• 29y - x + 2

• 39 + 1x

• x + 39y + 2