Combining like terms 2x + 5 3x 4b 2b + 3 7b – 4

Combining like terms
Name: ___________________ Hour: ______
 Learning Target: I can combine like terms to simplify an algebraic expression.
Simplify each expression by combining like terms.
ex 1. 3a + 4a – 2a
ex 2. 2f2 + 4f + 7f + 6g
7a – 2a = 5a
2f2 + 11f + 6g
Hint: f2 and f are unlike terms, so they cannot be combined
just like f and g are unlike terms and cannot be combined
1. 4r + 7r = _____________
2. 7y + 9 – 3y = _____________
3. -12b + 6b – 3b = _____________
4 -3h2 – 6h + h = _____________
5. 5a + 7ab – 2ab + 5a2 = _____________
6. -3h2 – 6h + h = _____________
7. 4k2 – 14m + 7k – 3k2 – 14k – 8k2 = _____________
Write an expression for the perimeter of the figure below.
8.
2x + 5
8. ____________________
3x
9.
2b + 3
7b – 4
4b
9. ____________________
For each description in words, represent the change using an integer and an
appropriate unit of measure.
10. You spend $19 at the store. _______________
11. The temperature drops 4 degrees _______________
12. The speed of a car increases 10 mph. _____________
13. Mount Everest is 20,320 feet above sea level. _____________
Spiral Review
Evaluate.
14. -5 – 7 = _______
15. -2 + -6 = _______
16. -3 + 2 = _______
17. 4 – 11 = _______
18. (-6)(7) = _______
19. -5 x -3 = _______
20. -12 + 5 – 9 = _______
21. -4 + 12 ÷ (-6) = _______
Graph each point and then identify the quadrant each point is located in.
22.
X ( -2, -3)
23. Y ( -4, 2)
______________
______________
24. Z ( 1 , -1 ) ______________