Exercises
Simplify each algebraic expression.
4. 5y-9y+6-2y
7. (6m+30)-(2m + 11)
10. 8(2x-1)-10x + 8
13. 5+3(2x+4)
1. Examine the expression 6 + 5y + 1-8y.
a. Which terms are like terms?
b. What are the coefficients of the two y-terms?
c. Write the expression in simplified form.
2.
Describe in words how you would simplify 5(x + 3) + 2x.
3. Write an expression for each description:
a. has three terms, two of which are like terms.
b. has four terms that are all like terms.
c. has two terms and simplifies to 2y.
6. 11+5d-d-4-7
9. 2(x+9) - 15
12. 7-3(x-2)
15. (-10y-2)-(-3y + 1)
16. -5(2f-7)+(10f-30)
17. (6x + 3) +
18. 4(0.4y-2.1)+(3.6-y)
19. Find the value of n so that the expression (-y + 4.8) + (5.7y - 11) is equivalent to 4.7y + n.
20. What is the value of n that makes the expression (-5y + 4) + (7y-9) equivalent to my - 5?
21. Explain two different ways to simplify 3(4.2x - 10+ 3.8x).
22. It takes Gregory 50 minutes to get to his best friend's
house. He spends m minutes riding his bike to the bus
stop at a rate of 0.25 miles per minute. He gets on the bus
and travels the rest of the way at a rate of 0.6 miles per
minute. The total distance traveled is represented by the
expression 0.25m +0.6(50-m).
a. Explain what (50 m) represents in this situation.
b. Simplify this expression.
c. Gregory rides his bike for 10 minutes. How many
miles did he travel to his best friend's house?
5. x-3+x-2-x
8. (4x-3)+(2-x)
11. 4(p+3)+5
14. (2x+1)-(6x-7)