Use a table to find the solution of each equation. See Problem 5.- 2t- 1 = 11 39. 5x + 3 = 23 40.0 = 4 + 2y 41. 8a - 1 0 = 38
42.12 = 6 - 3b 43. 8 - 5 w = —12 44. -4 8 = - 9 - 13n 45. |x -5 = - l
Q Apply
Use a table to find two consecutive integers between which the solution lies. ^ See Problem 6.- 6 x + 5 = 81 47. 3.3 = 1.5 — 0.4y 48. -1 1 5 b + 80 = -4 8 9
- Bicycle Sales I n th e U n it e d S ta te s, th e n u m b e r y ( i n m i l li o n s ) o f b ic y c le s s o ld w it h
w h e e l s ize s o f 20 in. o r g r e a te r c a n b e m o d e le d b y t h e e q u a t io n y = 0 .3 x + 1 5 ,
w h e r e x is t h e n u m b e r o f y e a rs s in c e 1981. I n w h a t y e a r w e r e a b o u t 2 2 m i l l i o n
bicycles sold? - Error Analysis A student checked whether d = - 2 is a s o lu tio n o f
-3d + ( - 4 ) = 2, as s h o w n. D e s c r ib e a n d c o r r e c t t h e s tu d e n t's e r ro r. - W riting What are the differences between an expression and an equation?
Does a m athem atical expression have a solution? Explain. - Basketball A t o t a l o f 1 2 5 4 p e o p le a t t e n d a b a s k e t b a ll te a m ’s c h a m p io n s h ip
g a m e. T h e re a re s ix id e n t ic a l b e n c h e s i n th e g y m n a s iu m. A b o u t h o w m a n y
people w ould you expect each bench to seat?
Find the solution of each equation using mental math or a table. If the solution
lies between two consecutive integers, identify those integers.- x + 4 = -2
- 5a-4 = -16
54. Am + 1 = 9
58. 9 = 4 + ( —y)
55. 10.5 = 3 n - 1
59. 1 = -\n + 1
56. - 3 + t -
60. 17 = 6 -
^ 192 xIce d rill- Open-Ended Give three examples of equations that involve m ultiplication and
subtraction and have a solution of -4. - Think About a Plan Polar researchers drill into an ice sheet. The drill
is b e lo w t h e s u rfa c e a t t h e l o c a t io n s h o w n. T h e d r i l l a d v a n c e s a t a
r a te o f 6 7 m / h. A b o u t h o w m a n y h o u r s w i l l i t ta k e th e d r i l l t o r e a c h a 57 m/^
depth of 300 m?- W hat equation m odels this situation?
- W h a t in te g e r s d o y o u n e e d?
- Deliveries The equation 25 + 0.25p = c gives th e cost c i n d o l l a r s
t h a t a s to r e c h a rg e s to d e liv e r a n a p p lia n c e t h a t w e ig h s p p o u n d s. U se
th e e q u a t io n a n d a t a b le t o f i n d t h e w e ig h t o f a n a p p lia n c e t h a t c o s ts
$55 to deliver. - Look for a Pattern U s e a t a b le. E v a lu a te 2 x + 2 f o r x = -2 , -1 , 0,1, 2, and 3.
W h a t p a t t e r n d o y o u n o t ic e i n y o u r re s u lts? U s e t h is p a t t e r n t o f i n d th e s o lu t io n o f
2x + 2 = 28. Check your solution.
"0 m--7 5 m--3 0 0 m0
Po w er A Ig eb r a.co m | L e sso n 1 - 8 An Introduction to Equations^57