Mid-Chapter Quiz / Go to PowerAlgebra.comMathXL for School^
Do y o u k n o w H OW?
Solve each equation. Check your answer.
- 38 = 2 a+ 54
- t + 18.1 = 23.9
- 18.9 = 2.1x
- = 2
Solve each equation. Justify your steps.
- 9 -3 r= 14
- 3 = + 11
Solve each equation. If the equation is an identity, write
identity. If it has no solution, write no sol ut i on.
- 8{ h — 1) = 6h + 4 + 2 h
- ±(14 - Ip) - 2 = - 2 ( |p + 3)
;= 157V
C + 3- 6
- |( x - 4) = |( 2 x -^6 )
- 1.7m = 10.2
- 2 + \ t = 1 + \t
- Geom etry The form ula for the area of a triangle
is A = \bh. Solve th e form ula for h. A trian g le
has a base of 7 cm an d a n area of 28 cm2. W hat is
its height? - Menus A n ew pizza shop is going to p rin t new
m enus. Each m e n u costs $.50 to produce. The
ow ners have a total b udget of $2500 for th e new
m enus. How m any m en u s can th e pizza shop print? - Guitars You p aid $600 for a new guitar. Your guitar
cost $40 m ore th a n twice th e cost of your friend's
guitar. How m u ch did your friend’s guitar cost?
Define a variable and write an equation to model each
situation. Then solve.- Concerts C oncert tickets cost $25 each. A college
stu d en t o rdered som e tickets online. There was a
service charge of $3 p e r ticket. The total cam e to
$252. How m any tickets did the s tu d en t order? - Gyms M em bership for th e Alpine rock-climbing
gym costs $25 p e r m o n th plus a $125 sign-up fee.
M em bership for Rocco’s rock-clim bing gym costs
$30 p e r m o n th plus a $50 sign-up fee.
a. After how m any m o n th s will th e m em berships
cost the same?
b. If you only w a n te d a o ne-year m em bership, w hich
gym would you join?
Do y o u UN DERSTAND?
- Vocabulary C om plete: You can use subtraction
to u n d o addition. S ubtraction is called th e ?
of addition. - Reasoning The eq u a tio n | = | +1 is tru e for all
values of x w here x + 0. Is th e e q u a tio n an identity? - Writing Would you solve the equation 10 = 4(y - 1 )
by using th e Distributive P roperty or by dividing
each side by 4? Explain. - Reasoning In th e process of solving an equation,
a s tu d en t n o ticed th a t th e variable was elim inated.
The stu d en t co n clu d ed th at the eq u a tio n m u st be an
identity. Is th e stu d en t correct? Explain. - Reasoning You are solving the equ atio n
0.02x - 0.004 = 0.028. Your first step is to m ultiply
b o th sides by 1000 to clear th e decim als. Your
classm ate starts by dividing b o th sides by 0. 02.
Is th ere any disadvantage to your classm ate's
method? Explain.
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