- Open-Ended W rite an equ atio n in th ree variables. Solve th e eq u a tio n for each
variable. Show all your steps.
Challenge 49. Surface Area A rectangular prism w ith h eight h a n d w ith square bases w ith side
length s is shown.
a. W rite a form ula for th e surface area A of th e prism.
b. Rewrite th e form ula to find h in term s of A an d s. If s is 10 cm an d A is 760 cm2,
w hat is th e height of the prism?
I c. W r itin g Suppose h is equal to s. W rite a form ula for A in te rm s o f s only.- Midpoints Suppose a segm ent o n a n u m b e r line has en d p o in ts w ith coordinates
a an d b. The coordinate of th e seg m en t’s m id p o in t m is given by th e form ula
m
a. Find th e m id p o in t of a segm ent w ith en d p o in ts at 9.3 an d 2.1.
b. Rewrite th e given form ula to find b in te r m s o f a an d to.
c. The m id p o in t of a segm ent is at 3.5. O ne e n d p o in t is at 8.9. Find the
oth er endpoint.
SAT/ACT
c;St a n d a r d i ze d Test Pr ep
- W hat is th e value of th e expression — |t o + 15 w h e n to = 12?
- W hat is th e solution of 9p + 6 - 3p = 45?
- The formula F = | + 37 relates th e n u m b e r of chirps n a cricket m akes in 1 m in to
the outside tem p eratu re F in degrees F ahrenheit. How m any chirps can you expect
a cricket to m ake in 1 m in w h en th e outside tem p eratu re is 60°F?
Mixed Review
6 RIDDED RESPONSESolve each equation. If the equation is an identity, write identity. If it has no
solution, write no sol ut i on.- 3x - 3 = x + 7
- 4 + 12a = - 2 ( 6 - 4a)
- 4c - 10 = 2(2c - 5)
Evaluate each expression for b = 3 and c = 7.
- be 2 61. b2 — c 2
55. 2b- 10 = -3 b+ 5
57. 2(y — 4) = —4y + 10
59. 5 + 4p = 2(2p + 1)
62. (3b)2c
Get Ready! To prepare for Lesson 2-6, do Exercises 64-66.
Simplify each product.
54 35 x 30
25 A 14^55 ^ 108 x 55 _99_ x —^See Lesson 2-4.See Lesson 1-2.- (b + c)2
See p. 804.
cc 21 w 63
00- 81 X 105114 Chapter 2 So l v i n g Eq u a t i o n s