Mid-Chapter Quiz ^ MathXL for Schooljr Go to PowerAlgebra.com^
Do yo u k n o w H OW?
Write an inequality that represents each verbal
expression or graph.
1. all real n u m b ers y greater th a n or equal to 12- 8 m ore th a n a n u m b e r m is less th a n 5.
- -*— I-------------- 1 ----------- 1 - #-—1---------------------- 1 --------».................f........t...»
-4 -3 -2 -1 0 1 2 3 4 - The p ro d u c t of - 3 an d t is greater th a n 11.
- c less th a n 7 is less th a n or equal to - 3.
- I.......I.....t......I......+......I.....(D— I----I—
-6 -4 -2 0 2 4 6 8 10
- I.......I.....t......I......+......I.....(D— I----I—
- A cat weighs no m ore th a n 8 lb.
Solve each inequality. Graph the solutions.
8. 8d + 2 < 5d - 7- 2n+ 1 > -3
- -2x+7<45
- 5s-3 + 1 <8
- 5(3p — 2) > 50
- | < -3
- 6 > n
- —1.5d > 18
- A baseball team w ants to collect at least 160 cans of
food for an upcom ing food drive. Team m em bers
brought 42 cans of food on M onday a n d 65 cans of
food o n W ednesday. W rite an d solve a n inequality
to describe how m any cans of food th e team m u st
collect on Friday to m ake or exceed th eir goal. - Suppose you earn $7.25 p er h o u r w orking part-tim e
for a florist. W rite an d solve an inequality to find how
many full h o u rs you m u st w ork to ea rn at least $125.
Solve each inequality, if possible. If the inequality has
no solution, write no solution. If the solutions are all
real numbers, write all real numbers.- 7 — 6 b< 19
- 15/+9 > 3(5/+3)
- 6 z- 15 > 4z+ 11
- -3(4 - m) > 2(4m - 14)
- 8 z + 5 - 2z < 3(2z + 1) + 2
- The ch eerleaders are m aking a rectangular b an n e r
for a football game. The length of th e b a n n e r is
30 ft. The ch eerleaders can use no m ore th a n 96 ft of
trim a ro u n d th e outside of th e banner. W hat are the
possible w idths of the banner?
Do y o u UN DERSTAND?
- a. Er r o r A n al y si s A s tu d e n t claim s th at th e graph
below rep resen ts th e solutions of th e inequality
—3 < x. W hat error did th e stu d en t make?
<— h — I----- 1 ffi 1 -------- 1 ---- 1 --- 1 ---- 1 —»
-6 -5 -4 -3 -2-1 0 1 2
b. W hat inequality is actually re p resen te d by
the graph?
Decide whether the two inequalities in each pair are
equivalent. Explain.- 36 < - 4 + y; 40 < y
- 9 + b > 24; b > 33
- m — | < |; m < ^
@ 28. Reasoning A local gym offers a trial m em bership
for 3 m onths. It discounts th e regular m onthly fee x
by $25. If th e total cost of th e trial m em bership is
less th a n $100, you will consider signing up. W hat
inequality can you u se to d eterm in e w hether you
should sign up?c
Po w er A Ig eb r a.co m Ch a p t e r 3 M i d - Ch ap t e r Q u i z^193