Page 116 - Algebra 1

9.
(4, 13)
*11.
(18)
13.
(13)
*15.
(18)
16.
(17)
*17.
(18)
18.
(16)
*19.
(16)
20.
(16)
4
10. -7-(2 ÷8)
(4, 13)
*12. 2x3y + 4x3y + 9x3y (18)__
8. Bowling A ten-pin bowling ball has a volume of about 5274 cm3. A candlepin
(8) bowling ball has a volume of about 48 in3. About how much greater is the volume
of a ten-pin bowling ball than the volume of a candlepin bowling ball?
Simplify.
-16+4 __
2(√ 13 - 4)
6bac - 7ac + 8acb
⎪-15 + √ 81⎥2
Sewing Susan started with 11 bows. She can tie 4 bows per minute. Analise ties
twice as many per minute.
a. Write expressions representing the number of bows each girl will have after
x minutes.
b. Write an expression for the number they will have altogether after x minutes.
Multi-Step Marshall, Hank, and Jean are all cousins. Marshall is 3 years older than Hank. Hank is twice the age of Jean.
a. Write expressions to represent the ages of the cousins. Assign the variable j to
represent Jean.
b. If Jean is 12 years old, how old are the other cousins? c. If Hank was 14, how old would Jean be?
14. √ 6 - 2 (13) 2 · ⎪-7 + 3⎥
Justify Simplify 8x + x (2x + 5) and explain each step.
__
Evaluate 8ak when a = 1 , c = 3, and k = -2.
_ 4k(2a - 2c + 8) 2
TrueorFalse:pm2 -z3 =27whenp=-5,m=0,andz=-3.Justifyyouranswer. Error Analysis Two students are asked to evaluate x2y -|4x|2z when x = -2, y = _1 ,
and z = -1. Which student is correct? Explain the error.
2
Student A
x2y - |4x|2 z
2_1 2
(-2) (2 )- |4(-2)| (-1) _1 2
= 4 (2 )- |-8| (-1) = 2 - (8)2 (-1) = 66
Student B
x2 y - |4x|2 z
(-2)2 (-1) - |4(-2)|2 (2 )
_1 = 4(-1) - |-8|2 ⎛⎪_1 ⎥⎞
⎝2⎠
= -4 - (8)2 ⎪⎛_1 ⎞⎥ = -36 ⎝2⎠
21.
(10)
Predict How can finding a common denominator tell you that _1 - _2 will result in a positive number? 9 20
Lesson 18 101