Lesson 4.6: Add and Subtract Expressions

​Lesson 4.6

​Add and Subtract Expressions

Some text here about the topic of discussion

​Key Concept:

​Adding and subtracting expressions is just like combining all of the like terms from two different expressions. When we subtract expressions, we need to distribute the negative sign (or the subtraction sign) to all of the terms in the second expression.

​Example: Add the expressions 5x + 3 and 4x - 2

Multiple Choice

Add the expressions -6x + 2 and 10x - 3

• 16x + 5

• -16x - 5

• 4x + 1

• 4x - 1

Multiple Choice

Add the expressions: 4x - 2y and 5x - 3y

• 1x - y

• 9x - 5y

• -1x - 3y

• 4x + 5x - 2y - 3y

​Example: Subtract the expressions 3x + 2y and -7x - y

Multiple Choice

Subtract the expressions: 4x + 5y and 3x - 2y

• x + 7y

• x + 3y

• 7x + 3y

• -x - 5y

Multiple Choice

Subtract the expressions: 12x + 2y + 4 and -3x - 4y + 8

• 15x + 6y - 4

• 9x - 2y + 12

• 9x + 2y + 12

• 15x - 2y + 4

​A company has two manufacturing plants with daily production levels of 5x+14 items and 3x−7 ​items, respectively. The first plant produces how many more items daily than the second​ plant?

​Two communications companies offer calling plans. With Company​ X, it costs 30 ¢ to connect and then 3 ¢ for each minute. With Company​ Y, it costs 20 ¢ to connect and then 2¢ for each minute. Write and simplify an expression that represents how much more Company X​ charges, in​ cents, for m minutes.

​Conclusion: Write two complete sentences about what you learned.