Lesso n Ch eck
Do you kn o w HO W?
Solve each equation. Check your solutions.1‘ 2 x + l0 5 x
2. 4 j = - — X 2 a: 1
3 ~2 _ x + 4
' x + 2 x 2 — 4- Sarah picks a b ushel of apples in 45 m in. Andy picks a
b ushel of apples in 75 m in. How long will it take th em
to pick a bushel together?
■k. i&bkhkaha. IK A MATHEMATICAL
Do you UNDERSTAND? Ug j f PRACTICES- Vocabulary H ow is an extraneous solution of a
rational eq u a tio n sim ilar to an excluded value of a
rational expression? How is it different? - Open-Ended W rite a rational e q u a tio n th a t has one
solution a n d o n e extraneous solution. - Error Analysis In th e w ork show n at
th e right, w h at error did th e stu d en t
m ake in solving th e rational equation?
^ Practice and Problem-Solving Exercises
© Practice Solve each equation. Check your solutions.MATHEMATICAL
PRACTICESn.y-y=514.17.t-23 + a 1 , _5_
ZU- 2 a “3^6 ag 5 + £ =(^12) '*■ — + 5 = .9. 2 s 4 4s
15 A + 2 =
3p 3 2p
21 ._____fl + 3 a^ fl — 3^2 fl - 1
^ See Problems 1 and 2.
10 - 1-1 = 2
13.7 + 1 = 1 + 9
16.
19.
22
x + 3 x + 1
3(c + 4)+^1
2c
c + 4
—5 I = i
z + 2 z
- Gardening M arian can w eed a garden in 3 h. Robin can w eed th e sam e
garden in 4 h. If they w ork together, how long will th e w eeding take them? - Trucking David can u n lo ad a delivery tru ck in 20 m in. Allie can u n lo ad th e sam e
delivery tru ck in 35 m in. If th ey w ork together, how long will th e u nloading take?
See Problem 3.Solve each equation. Check your solutions. If there is no solution,
write no solution.25.28.5 _x + 2
x+1 x+1
2x + 4 3x
x — 3 x — 326.29.c + 4 c + 25
30 _ 30
x + 3 x — 327.30.See Problems 4 and 5.3 2m
m — 1 m + 4
x + 2 _ x — 2
x + 4 — x - 14^ Apply 31. Writing How could you use cross p ro d u cts to solve = T+if + I2- Open-Ended W rite a rational eq u a tio n th a t h as 5 as a solution.
c
Po w erAlg eb ra.com | Lesson 11-5 So l v i n g Ra t i o n a l Eq u a t i o n s 695