Download Name Class ______ Simplifying Algebraic Expressions Worksheet

Name ________________________________________________ Class ________
Simplifying Algebraic Expressions Worksheet
Simplify each expression by combining like terms.
1. 6x2 – 4y – 3x + 6x2 + 8x
2. 5m + 3n + 6n2 – 3m + 4n – 6n2
3. 9x2 + 6x + 7y + 8y – 3x2 + 4x
4. 4x2 – 3y + 7x + 9x2 + 2x
5. 10m2 – 5m + 8n – 3n + 2n – 6m2
6. 4x + 7y – (-2x – 9y)
Each of the following problems has made a “fatal” algebra error. Correct each of the
following errors and describe the error that was made.
7. 2x – (3y + 4) = 2x – 3y + 4
8. x2 + 3x – 5 – (4x – 5) = x2 – x – 10
9. 5z + 3x – 6z = 3x + 11z
10. A restaurant sold h hamburgers yesterday. The number of cheeseburgers sold
yesterday is represented by the expression below.
6h - 21
Which other expression also shows how many cheeseburgers were sold yesterday?
[A] (h – 21) + 5h
[B] 6 + (h – 21)
[C] -15h
[D] 6 – 21 ∙ h
11. The concession stands at a ballpark sell nachos for x dollars per order and french
fries for y dollars per order. The Palmer family bought 4 orders of nachos and 1
order of French fries. The Chen family bought 5 orders of nachos. The expression
below represents the total cost of the nachos and french fries the two families
bought.
(4x + y) + 5x
Which expression also represents the total cost of the nachos and french fries for
both families?
[A] 4xy + 5x
[B] 10xy
[C] 9x + y
[D] 20x + 5xy