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DSPM0700 Final Exam Review: Percentages, Equations, and Fractions, Exams of Elementary Mathematics

A final exam review for a mathematics course, covering topics such as percentages, equations, and fractions. It includes problems on converting percentages to decimals and vice versa, solving equations, and working with fractions. Students are advised to write the percent as a decimal and the decimal as a percent, write the equivalent decimal and percent for given fractions, and translate equations into words and solve them.

Typology: Exams

Pre 2010

Uploaded on 08/16/2009

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koofers-user-qwap3rnxs5 ๐Ÿ‡บ๐Ÿ‡ธ

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DSPM 0700
FINAL EXAM
REVIEW
Write the percent as a decimal.
1) 400%
2) 51.49%
3) 3%
Write the decimal as a percent.
4) 2.1
5) 0.001
6) 0.15
Write the percent as an equivalant decimal
and fraction in simplest form.
7) 45%
Write the fraction as a decimal and percent.
8) 21
4
Solve.
9) Write the equivalent decimal and
percent for 21
5.
Translate to an equation and solve.
10) 18 is 2% of what number?
11) 175% of 8 is what number?
12) 105 is what percent of 70?
Solve.
13) What is the sales tax on a scanner
priced at $160 if the sales tax rate is
7.6%?
14) A sofa sells for $1038. If the sales
tax rate is 6.3%, what is the total
price?
given equation. Show all work.
15) y = 4x; (4, ), (0, ), ( , -16)
Determine whether the ordered pair is a
solution of the given linear equation. Show
all work.
16) (2, -8); y = -3x + 2
17) (-1, 3); 3x - 5y = -18
Plot the point corresponding to the ordered
pair.
18) (5, 2)
19) (-6, 0)
Find the x- and y-coordinates of each labeled
point.
20)
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๎˜ˆ
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given equation and graph the equation.
21) x - 3y
๎˜Š
3 (0, ) ( , 0) (6, )
22) 3x + 2y = 6 (0, ) ( , 0) (4, )
Add the polynomials.
23) (-5x
2
- 4x - 5) + (8x
2
- 4x - 1)
Subtract the polynomials.
24) (3b
2
+ 4b - 1) - (-6b
2
+ 7)
1
pf3
pf4
pf5

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DSPM 0700 FINAL EXAM REVIEW

Write the percent as a decimal.

  1. 400%

Write the decimal as a percent.

Write the percent as an equivalant decimal and fraction in simplest form.

  1. 45%

Write the fraction as a decimal and percent.

  1. 21 4

Solve.

  1. Write the equivalent decimal and percent for^21 5

Translate to an equation and solve.

  1. 18 is 2% of what number?

  2. 175% of 8 is what number?

  3. 105 is what percent of 70?

Solve.

  1. What is the sales tax on a scanner priced at $160 if the sales tax rate is 7.6%?

  2. A sofa sells for $1038. If the sales tax rate is 6.3%, what is the total price?

Complete each ordered-pair solution of the given equation. Show all work.

  1. y = 4x; (4, ), (0, ), ( , -16)

Determine whether the ordered pair is a solution of the given linear equation. Show all work.

  1. (2, -8); y = -3x + 2

  2. (-1, 3); 3x - 5y = -

Plot the point corresponding to the ordered pair.

  1. (5, 2)

Find the x- and y-coordinates of each labeled point.

       ^ 

^    

   



       ^ 

^    

   



Complete each ordered-pair solution of the given equation and graph the equation.

  1. x - 3y 3 (0, ) ( , 0) (6, )

  2. 3x + 2y = 6 (0, ) ( , 0) (4, )

Add the polynomials.

  1. (-5x^2 - 4x - 5) + (8x^2 - 4x - 1)

Subtract the polynomials.

  1. (3b^2 + 4b - 1) - (-6b^2 + 7)

Find the value of the polynomial for the given replacement value.

  1. x^3 + 3x^2 + 4x for x = 3

Evaluate the expression for the given replacement values.

  1. yz for y = -0.3, z = 7.

  2. 5x^2 + 10y for x = 2, y = 9

  3. xy for x = 0, y = -

Evaluate the expression for x = - 2, y = 3.

  1. 7x - y^2

Multiply.

  1. x  x^4

  2. 8y^4 ^ 3y^2

Find the perimeter.

  1. 267 feet

146 feet Rectangle

Use the distributive property to rewrite the expression.

  1. 10(2 + 4)

Write using exponential notation.

  1. 9 ^9 ^9 ^9

Simplify.

  1. 3 ^ 7 - 3
  1. (x^3 )^7

Represent the quantity by an integer.

  1. 35 above zero

Graph the numbers on a number line.

  1. 0, 2, 4, 6

Insert < or > to make the statement true.

  1. -55 _____ -

Find the opposite of the integer.

Solve.

  1. The temperature at 5 p.m. on January 27 was -7 Fahrenheit. By 9 p.m. the temperature had risen 25 degrees. Find the temperature at 9 p.m.

Multiply.

  1. (-8)(-4) - (-5)

Evaluate.

  1. -7^2

49) (-1)^8

51) 7^4

Find the quotient.

0

Perform the indicated operation. Write the answer as a mixed number in simplest form.

  1. 1

Add or subtract as indicated. Write the answer in simplest form.

  1. 4 8

+^1

+^2

-^13

Simplify the complex fraction.

Perform the indicated operation.

  1. 74.42 + 93.45 + 35.

Find the square root.

  1. 324

Find the circumference of the circle. Use the approximation 3.14 for (^) . Formula: C = 2  r or C =  d

6 yd

17 cm

Find the unit price.

  1. Find which is the better buy (lower cost per ounce) by finding each unit price rounded to three decimal places if necessary. Assume that different sizes of the same brand are being compared.

Popcorn: $1.20 for 20 ounces $1.17 for 18 ounces

Solve the proportion for the given variable.

  1. x 7

=^15

x

Determine whether the proportion is true or false.

Solve.

  1. The ratio of a quarterback's completed passes to attempted passes is 3 to 5. If he attempted 20 passes, find how many passes he completed.

Using the given lengths of two sides of a right triangle, find the length of the side not given. Formula: a^2 + b^2 = c^2

45 ft

36 ft

  1. No
  2. Yes

     ^ 

   

  

     ^ 

   

  

     ^ 

   

  

     ^ 

   

  

  1. R(-2, 3); S(-5, -4)

       ^ 

^    

   

       ^ 

^    

    (0, -1) (3,0) (6, 1)

       ^ 

    

   

       ^ 

    

    (0, 3) (2,0) (4, -3)

  1. 3x2 - 8x - 6
  2. 9b2 + 4b - 8
  3. 66
  4. -2.
  5. 110
  6. 0
  7. x^5
  8. 24y
  9. 826 feet
  10. 10  2 10  4
  11. 94
  12. 18
  13. 38
  14. 27
  15. x
  16. 9 5