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Chapter 4: Review Worksheet - Identifying and Solving Equations, Study notes of Mathematics

A review worksheet for chapter 4 of a dspm (data science, statistics, and mathematics) course. It includes various equations that need to be identified as linear or non-linear and then solved numerically, graphically, or algebraically. The document also contains some open-ended problems that require finding linear equations and solving for specific variables.

Typology: Study notes

Pre 2010

Uploaded on 08/16/2009

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DSPM 0800 Name:
Chapter 4 Date:
Review Worksheet
Identify each equation as linear or non-linear
1. 2.
3.14 9.07 5.72x+=x19
512x
x
=+
3. 2
5215
x
x+= 4.
(
)
(
)
4635 1xx2
โˆ’
=โˆ’+
Solve each of the following equations numerically
5. 6.
()()()
22 5 22 6 1 1xxxโˆ’โˆ’ โˆ’= ++
(
)
(
)
(
)
14 132 1xx x
+
โˆ’โˆ’=โˆ’โˆ’
2
7. 8.
()()
2531xx+=โˆ’ +โˆ’
(
)
(
)
14 6 17 12 5xx
+
โˆ’= +
Solve each of the following equations graphically
9. 10.
()()()
22 5 22 6 1 1xxxโˆ’โˆ’ โˆ’= ++
(
)
(
)
(
)
14 132 1xx x
+
โˆ’โˆ’=โˆ’โˆ’
X Y1 Y2
X Y1 Y2
X Y1 Y2
X Y1 Y2
pf3

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Download Chapter 4: Review Worksheet - Identifying and Solving Equations and more Study notes Mathematics in PDF only on Docsity!

DSPM 0800 Name: Chapter 4 Date: Review Worksheet

Identify each equation as linear or non-linear

  1. 3.14 x + 9.07 = 5.72 x 2.

5 x 12 x

3. 5 x + 21 = 5 x^2 4. 4 ( x โˆ’ 6 ) = 3 5( โˆ’ x )+ 12

Solve each of the following equations numerically

5. 2 2( x โˆ’ 5 ) โˆ’ 2 2( โˆ’ x ) = 6 ( x + 1 ) + 1 6. ( x + 1 ) โˆ’ 4 ( x โˆ’ 1 ) = 3 2( โˆ’ x )โˆ’ 1

7. 2 ( x + 5 ) = โˆ’ 3 ( x + 1 )โˆ’ 2 8. 14 ( x + 6 ) โˆ’ 17 = 12 ( x + 5 )

Solve each of the following equations graphically

9. 2 2( x โˆ’ 5 ) โˆ’ 2 2( โˆ’ x ) = 6 ( x + 1 ) + 1 10. ( x + 1 ) โˆ’ 4 ( x โˆ’ 1 ) = 3 2( โˆ’ x )โˆ’ 1

X Y1 Y2 X Y1 Y

X Y1 Y2 X Y1 Y

11. 2 ( x + 5 ) = โˆ’ 3 ( x + 1 )โˆ’ 2 12. 14 ( x + 6 ) โˆ’ 17 = 12 ( x + 5 )

Solve each of the following equations algebraically

13. 2 2( x โˆ’ 5 ) โˆ’ 2 2( โˆ’ x ) = 6 ( x + 1 ) + 1 14. ( x + 1 ) โˆ’ 4 ( x โˆ’ 1 ) = 3 2( โˆ’ x )โˆ’ 1

15. 2 ( x + 5 ) = โˆ’ 3 ( x + 1 )โˆ’ 2 16. 14 ( x + 6 ) โˆ’ 17 = 12 ( x + 5 )

17. 1.41 ( x + 5.08 )+ 1.17 x + 0.00102 = โˆ’3.46 x โˆ’5.

x + = โˆ’ x +

  1. 1.5 x + 5.5 = โˆ’2.4 x โˆ’6.
  2. 6.2 x + 5.67 = 4.9 x + 16.98 21.

x โˆ’ = โˆ’

Solve each of the following equations

  1. 2 x + 6 = 0 23. 4 โˆ’ z = 4
  2. 2 x โˆ’ 1 = โˆ’ 4 25. x + 3 = 7

h

Solve each of the following for the indicated variable

  1. S = 2 ฯ€ r^2 + 2 ฯ€ r for h 27. I = PRT for P

A = h b + B for h 29. S = 2 L W + 2 WH + 2 LH for W

x โˆ’ y =

for y 31. ( )

y โˆ’ = x + 9 for y