Algebra 1 Common Core Student Edition, Grade 8-9

CHAPTER

Skills
Handbook,
page 798

Lesson 1-7

Lessons 7-2
and 7-3

4* Finding Factors of Composite Numbers

List all the factors of each number.

1. 12 2. 18 3. 100


2. 72 6. 300 7. 250

Sim plifying Expressions

Simplify each expression.

9. 3x2 — 4 x — 2 x 2 - 5 x


10. 3 ( 2 r + 4 r 2 - 7 r + 4 r 2)


11. 6[a — 3a2 -2 a - 3a2)


12. 81


13. 207


14. -2 d + 7 + 5d + 8


15. —2 { m + 1) + 9(4m - 3 )


16. s-4- (s2 — 2) -8s

# Multiplying Expressions With Exponents

Simplify each expression.

15. (5x)2 16. ( — 3 i/2) ( - 3 i/ 2 ) 17. (4 c 2 ) 3


16. (9b3f 20. ( - 6pq)'
    18. (8m i)(7m 5)


17. ( —5t4)3

Lesson 7-4 D i v i d i n g E x p r e s s i o n s W i t h E x p o n e n t s

Simplify each expression.

pq,4 „ 9 (5xf __ -3n (2y)(9/)

23. ^ 24. 25...,....26. 3
    p q 5x [6n )[4n ) 6 y3

Looking Ahead Vocabulary

27. Both of the words tricycle a n d triangle begin w ith th e prefix tri-. A trinomial is a
    type of m athem atical expression. How m any term s do you th in k a trinom ial has?


28. Use your knowledge of the m ean in g of th e w ords binocular a n d bicycle to g u e s s a t
    th e m eaning of the w ord binomial.


29. W hich of the following pro d u cts do you th in k is a perfect-square trinom ial w h e n
    multiplied? Explain your reasoning.
    a. (x + 4)(x + 7) b. (x + 4)(x + 4)

c

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