Algebra 1 Common Core Student Edition, Grade 8-9

G o t It? 4. The shipping cost for an order at an online store is pj the cost of the items

you order. What is an expression for the total cost of a given order? What are

the total costs for orders of $43, $79, $95, and $103?

Lesso n Ch eck

Do y o u k n o w H OW?

What is the simplified form of each expression?

1. 5^ 2. 2= 3. (f)2

Evaluate each expression for x = 3 and y = 4.

4. x2 + 2(x + y)
   5. (xyf


5. 4x 2 - 3xy

_ - MATHEMATICAL

Do y o u UN DERSTAN D? | g j | PRACTICES

7. Vocabulary Identify the exponent and the base in 43.


8. Error Analysis A student simplifies an expression
   as shown below. Find the error and simplify the
   expression correctly.

Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses

Q Practice Simplify each expression.

9. 35

13- (I)3

17. 20 - 2 • 3


18. 80-(4- l)3


19. 43


20. f t ) *


21. 6 + 4H-2 + 3


22. 52 + 82 - 3(4 - 2)3

MATHEMATICAL

PRACTICES

11. 24

15. (0.4)6


16. ( 62 — 33) h- 2

* See Problems 1 and 2.

12. 108

16. 74

23.6 -5- 3

20.5

2

2 + 8

24. 7+4

Evaluate each expression for s = 4 and t = 8.

25. (s + t)3 26. s4 + t2 + s + 2


26. 3 st2 + (st) + 6 29. (t - s)5

31.2st2- s 2 32. 2s2 - 16

9-^-3

See Problem 3.

27. ( s t) 2 + ( s t 2)


28. (2s)2t

33.(3s)3t + t

34. Write an expression for the amount of change you will get when you pay
    for a purchase p with a $20 bill. Make a table to find the amounts of change you
    will get for purchases of $11.59, $17.50, $19.00, and $20.00.


35. An object's momentum is defined as the product of its mass m and velocity v.
    Write an expression for the momentum of an object. Make a table to find the
    momentums of a vehicle with a mass of 1000 kg moving at a velocity of 15 m/s,
    20 m/s, and 25 m/s.

See Problem 4.

c

PowerAlgebra.com | L e s s o n 1 - 2 Order of Operations and Evaluating Expressions! 13