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DSPM 0700 Test 3 Review: Decimal Operations and Equations, Exams of Elementary Mathematics

A review for test 3 of dspm 0700, focusing on decimal operations, including writing decimals in words and as fractions, performing arithmetic operations, and solving equations. It also includes problems on finding unit prices and determining proportions.

Typology: Exams

Pre 2010

Uploaded on 08/18/2009

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DSPM 0700 TEST 3 REVIEW
Write the decimal in words.
1) 1.245
Write the decimal in numbers.
2) Eight and seventeen hundredths
Write the decimal as a fraction or mixed number in
lowest terms.
3) 0.46
4) -0.346
Insert <, >, or = between the pair of numbers to form a
true statement.
5) -0.54 _____ -0.53
6) 0.141 _____ 0.143
7) 37
5 _____ 7.401
Perform the indicated operation.
8) 115.4 + 0.8 + 93.45 + 89.9
Evaluate the expression for the given replacement
values.
9) y - x + z for x = 6.1, y = 8, z = 0.91
10) x ๎˜ y for x = 1.45, y = 2.9
Simplify by combining like terms.
11) 23.3x - 11.1 - 14.7x + 19
Solve.
12) Find the total monthly cost of owning and
maintaining a car given the information
shown.
Monthly car payment: $372.63
Monthly insurance cost: $60.00
Average cost of gas per month: $86.20
Average upkeep cost per month: $19.50
13) Last year, Karl's average credit card bill was
$128.75. In October, his credit card bill was
$167.95. How much more than last year's
average was the October bill?
Multiply.
14) (16.6)(-1.72)
Divide.
15) 6.4 ๎˜ 0.8
Simplify the expression.
16) (-3.8)2
17) -1.1(4.4 - 5.2)
Find the circumference of the circle using 3.14 for ๎˜
๎˜๎˜
๎˜ .
Formula: C = 2๎˜
๎˜๎˜
๎˜ r or C = ๎˜
๎˜๎˜
๎˜ d
18)
22 ft
19)
12 yd
Determine whether the given value is a solution to the
given equation. Show all work.
20) Is .6 a solution of -6.5x = -3.9?
21) Is .7 a solution of 7x = 49?
Write the fraction as a decimal.
22) 1
2
Arrange the list of numbers in order from smallest to
largest.
23) 2.09, 2.9, 2.099, 2.999
24) 1
2, 3
4, 2
3, 0.95
1
pf3

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DSPM 0700 TEST 3 REVIEW

Write the decimal in words.

Write the decimal in numbers.

2) Eight and seventeen hundredths

Write the decimal as a fraction or mixed number in lowest terms.

Insert <, >, or = between the pair of numbers to form a true statement.

5) -0.54 _____ -0.

6) 0.141 _____ 0.

_____ 7.

Perform the indicated operation.

Evaluate the expression for the given replacement values.

9) y - x + z for x = 6.1, y = 8, z = 0.

10) x^  y^ for x = 1.45, y = 2.

Simplify by combining like terms.

11) 23.3x - 11.1 - 14.7x + 19

Solve.

12) Find the total monthly cost of owning and

maintaining a car given the information shown. Monthly car payment: $372. Monthly insurance cost: $60. Average cost of gas per month: $86. Average upkeep cost per month: $19.

13) Last year, Karl's average credit card bill was

$128.75. In October, his credit card bill was $167.95. How much more than last year's average was the October bill?

Multiply.

Divide.

Simplify the expression.

Find the circumference of the circle using 3.14 for ^. Formula: C = 2 ^ r or C = ^ d

22 ft

12 yd

Determine whether the given value is a solution to the given equation. Show all work.

20) Is .6 a solution of -6.5x = -3.9?

21) Is .7 a solution of 7x = 49?

Write the fraction as a decimal.

Arrange the list of numbers in order from smallest to largest.

Find the area of the triangle. Formula: A =^1 2 * base * height

20 ft

28 ft

32 ft

22.5 ft

Solve the equation.

27) 9x + 6.8 = 5x + 12

28) 9(3x - 0.3) = 4x - 2.

29) 0.7x + 0.3 = -0.

30) 4(x - 1.8) = 9.

31) x + 2.7 = 8.

Find the square root.

Using the given lengths of a right triangle, find the length of the side not given. Formula: a2 + b2 = c

50 yd

48 yd

13 m 4 m

36) leg = 15, leg = 20

Write the ratio using fractional notation. Do not simplify.

37) 9 to 14

Write the rate as a unit rate.

38) 200 miles on 8 gallons of gas

Find the unit price.

39) $49.50 for 5 video tapes

40) 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.

Soy sauce: $1.74 for 29 ounces $2.02 for 31 ounces

Write the sentence as a proportion.

41) 18 children is to 30 bicycles as 3 children is

to 5 bicycles

Determine whether the proportion is true or false. Show all work.

=^5

=^4

Solve the proportion for the given variable.

44) x

6 =^20 24

24 6 =^28 x

5 5 8

=^40 x

x = 0.

Solve.

48) The ratio of a quarterback's completed passes

to attempted passes is 3 to 4. If he attempted 20 passes, find how many passes he completed.

49) It takes Sarah 18 minutes to type and spell

check 10 pages of a manuscript. Find how long it takes her to type and spell check 45 pages.

DSPM0700LH_F