Combine Like terms

Pre - Requisite / Evaluate Expressions
Standard / Pre-7.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Student Outcomes /
  • Students generate equivalent expressions using the fact that addition and multiplication can be done in any order (commutative property) and any grouping (associative property)

Media /
We Our Family – Sledge Sisters
Procedure
HW / #27
Spiral Review #7
WKSP

Simplify:

Envelope

You have an envelope that has triangles and quadrilaterals. For this exercise, let t represent the number of triangles and let q represent the number of quadrilaterals. Write an expression, using t and q, to represent the number of sides in the envelope.

Dictionary: Let t =

Let q =

Expression: ______

You all have the same number of triangles and quadrilaterals in your envelopes. There are __ students in class today participating in this activity. Write an expression that represents the total number of sides in the room.

Expression: ______

You find 45 triangles and 16 quadrilaterals in your envelope. Determine the number of sides that can be found in your envelope.

Determine the number of sides that should be contained in all of the envelopes combined.

Combine Like Terms

Term:

Example of a term:______

Example of two terms: ______

Example of three terms: ______

‘Like’ terms:

Example:

Example: 5x + 2 – x - 2

Rewrite the following by combining like terms.

1. / 5x + 3x / 2. / 5x – 3x
3. / (5 + 3)x / 4. / (5 – 3)x
5. / Terry weighs 40kg. Janice weighs kg less than Terry. What is their combined weight?
6. / Marty and Stewart are stuffing envelopes with index cards. They are putting x index cards in each envelope. When they are finished, Marty has 15 envelopes and 4 extra index cards, and Stewart has 12 envelopes and 6 extra index cards. Write an expression in standard form that represents the number of index cards the boys started with.

Name: ______Date: ______

Pre-AlgebraExit Ticket

Write an equivalent expression to 2x + 3 + 5x + 6 by combining like terms.

Name: ______Date: ______

Pre-AlgebraExit Ticket

Write an equivalent expression to 2x + 3 + 5x + 6 by combining like terms.

Name: ______Date: _____


Pre-AlgebraHW #27

Write equivalent expressions by combining like terms. Verify the equivalence of your expression and the given expression by evaluating each for the given values a = 2, b = 5, and c = -3.

Original / Simplified
1. / 2a + 3a
2. / 8b + 8 – 4b
3. /
4. / Write 1.2a + 5 – 7.1a - in standard form.

Review:

5. / Anna is a painter. She charges $130 for paint and $25 for each hour, h, she works. Write an expression to represent how much Anna will charge.
6. / Tori computes the value of 8x 95 in her head by thinking 8(100 – 5) = 8 x 100 – 8 x 5. Which number property is she using?
7. / Meghan said the opposite of the sum of -12 and 4 is 8. Do you agree? Why or why not?
8. / Each time that Samantha rides the commuter train, she spends $4 for her fare. Write an integer that represents the change in Samantha’s money from riding the commuter train to and from work for 13 days.