Page 267 - Algebra 1

Practice Distributed and Integrated
Solve each proportion.
1. 3 = -24 2. -4 = 2 3. 5 = 1.25
(31)
4.
(1)
*5. (4 0)
*6. (40)
7.
(39)
*8. (4 0)
*9. (4 0)
*10. (4 0)
11.
(39)
12.
(39)
*13. (39)
14.
(39)
*15. (38)
16.
(38)
______ 12 m (31) 0.8 x - 1 (31) 12 k
True or False: All whole numbers are integers. If false, give a counterexample. Simplify (44)5 using exponents.
Multiple Choice Which expression simplifies to -24x4y3? A (-2x2y)2(6y) B -2(x2y)2(6y)
C - ( 2 x 2y ) 2 ( 6 y ) D (-2 xy )3(3 ) _3_2 _9
Simplify e (e + r ). r5 4r k
Cooking Use the formula A = πr2 for the area of a circle. A 6-inch pizza covers an area of π(6)2 = 36π square inches. What happens to the area of the pizza if you double the radius and make a 12-inch pizza?
Verify Is the statement (a + b)n = an + bn true? Verify your answer with a numeric example.
Generalize When do you know to add exponents and when to multiply exponents?
Painting
A rectangular top on a bench is to be painted.
wd-3 d c-2 ___
)
Its area is c (
_w wd
. Simplify.
_2 -2
Simplify a (
d2 d d
-4
a x _2x
+
)
Geometry The equation of an ellipse is g2 + w2 = 1. To enlarge the ellipse, the
-1
-
-3
.
The trim around a window has a total length of w3 + 2ty - w .
a. Simplify the expression.
b. Identify the variables that cannot equal zero.
Find the GCF of 4xy2z4 - 2x2y3z2 + 6x3y4z.
Error Analysis Two students are simplifying the fraction 9
Which student is correct? Explain the error.
wx2 gy _ _2
g gwx2 gy _5 _5 _ _2
)
left side is multiplied by w-2 . This expression is w-2
(
g + w
. Simplify.
22
_ rty _ rt_ 8
)
(w 2
3x - 6 _
as shown below.
Student A
3x-6 = 3(x-2) = x-2 ___
993 3
Student B
__2
3x - 6 = x - 6 = x - 2
93 3
252
Saxon Algebra 1