Pre - algebra review sheet PDF

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Pre – Algebra 6 QUIZ # 4 Review Work (1) Using The Proportion or Equation Method, Find The Correct Values for Each Problem. (A)

What is 39 % of 53 ?

(B)

263 is 85 % of What Number ?

(C)

192 is What % of 23 ?

(2) Solve The Following Equations and Inequalities Completely NO CALCULATOR WORK HERE , Show All Work

(A)

58 X

+

19

=

(B)

70 Z

-

150

=

13 X

- 19 Z

+

214

-

1113

(C)

(D)

(E)

8 ( 15 A + 16 )

8 ( 5 A + 18 )

> 28 ( 5 A + 30 )

> 12 ( 3 A + 20 )

.68 A + 17 = .56 A - 13

(F)

7 ( 5 A + 10 ) - 2 ( 8 A + 12 ) 8

<

4

5

(3) Find Five Consecutive Even Integers whose Sum is 560. ( An Equation and Work is Required )

(4) Two Cars Leave Pine Crest at The Same Time. Car # 1 is going a Certain Speed and Car # 2 is Driving 20 MPH Faster. Car # 1 Drives for 15 Hours and Car # 2 Drives for 12 Hours. If the Distances are Equal, How Fast is Each Car Driving and how Far do they Travel ? ( An Equation and Work is Required )

(5) Solve The Following Inequality Completely - 187 > 9 ( 5 A + 12 )

(6)

Two Trucks are Driving on 95 going North.

Truck # 1 is going 62 MPH and Truck # 2 is Driving 13 MPH Faster. Truck # 1 Drives for X Hours and Truck # 2 Drives for Two More Hours Than Truck # 1. If the Combined Distance is 698 Miles , How Many Hours is Each Truck Driving ? ( An Equation and Work is Required )

(7) Your Team wants to average at most 7 Basketball Game Turnovers per game. How many or fewer Turnovers can you commit in the last game to reach your Team Goal ?

Game # 1 9

Game # 2 5

Game # 3 8

Game # 4 10

Game # 5 5

Game # 6 ???

Pre – Algebra 6 QUIZ # 4 Review Work

(1) Using The Proportion or Equation Method, Find The Correct Values for Each Problem. (A)

What is 39 % of 53 ? ( 53 ) ( .39 ) = X X = 20.67

(B)

263 is 85 % of What Number ? ( X ) ( .85 ) = 263 X = 309 . 41

(C)

192 is What % of 23 ? ( 23 ) ( X ) = 192 X = 834.78 %

(2) Solve The Following Equations and Inequalities Completely NO CALCULATOR WORK HERE , Show All Work

(A)

58 X

+

19

45 X

(B)

70 Z

= =

= 4.33

-

150 =

+

214

195

X

89 Z

13 X

=

- 19 Z

- 963

Z = - 10.82

-

1113

(C)

8 ( 15 A + 16 ) 120 A + 128

> 28 ( 5 A + 30 )

> 140 A + 840

- 20 A > 712 A < - 35.6 ------------------o -50

(D)

- 35.6

0

8 ( 5 A + 18 )

> 12 ( 3 A + 20 )

40 A + 144 > 4A A

>

50

36 A + 240 96

> 24 .--------------

-50

0

24

50

(E)

.68 A + 17 = .56 A - 13 68 A + 1700 = 56 A - 1300 12 A = - 3000 A =

(F)

- 250

7 ( 5 A + 10 ) - 2 ( 8 A + 12 ) 8

5

35 ( 5 A + 10 ) - 16 ( 8 A + 12 )

<

175 A + 350 - 128 A - 192 < 160 47 A + 158 < 47 A < A <

160

2 .04

----------------------------. -1

<

0 .04

1

160

4

(3) Find Five Consecutive Even Integers whose Sum is 560. ( An Equation and Work is Required ) X , X+2 , X +4 , X +6 ,X +8 5 X + 20 = 560 X = 108

5 X = 540

108 , 110 , 112 , 114 , 116

(4) Two Cars Leave Pine Crest at The Same Time. Car # 1 is going a Certain Speed and Car # 2 is Driving 20 MPH Faster. Car # 1 Drives for 15 Hours and Car # 2 Drives for 12 Hours. If the Distances are Equal, How Fast is Each Car Driving and how Far do they Travel ? ( An Equation and Work is Required ) R

x

T

=

D

(1)

X

15

15 X

(2)

X + 20

12

12 X + 240

15 X = 12 X + 240

X = 80

Car # 1 80 MPH Car # 2 100 MPH 1200 Miles Each

(5) Solve The Following Inequality Completely - 187 > 9 ( 5 A + 12 ) - 187 > 45 A + 108 - 295 > 45 A - 6.56 > A

------------------o -10

- 6.56

0

10

(6)

Two Trucks are Driving on 95 going North.

Truck # 1 is going 62 MPH and Truck # 2 is Driving 13 MPH Faster. Truck # 1 Drives for X Hours and Truck # 2 Drives for Two More Hours Than Truck # 1. If the Combined Distance is 698 Miles , How Many Hours is Each Truck Driving ? ( An Equation and Work is Required ) R

x

T

=

(1)

62

X

(2)

75

X+2

D 62 X

75 X + 150

( 62 X ) + ( 75 X + 150 ) = 698 137 X = 548 Truck # 1 4 Hours

X = 4 Truck # 2 6 Hours

(7) Your Team wants to average at most 7 Basketball Game Turnovers per game. How many or fewer Turnovers can you commit in the last game to reach your Team Goal ?

Game # 1 9

Game # 2 5

Game # 3 8

Game # 4 10

Game # 5 5

Game # 6 ???

37 +

X

<

7

<

42

6

37

+

X

X

<

5

.-----------------. -10

0

5

10...