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Equations with Decimals Worksheet - Page 3

Equations with Decimals Worksheet
  • Page 3
 21.  
Negative twenty-two hundredths times a number x equals the opposite of eighty-eight and eight tenths. Find the value of x.
a.
4.0363
b.
403.63
c.
430.63
d.
40.363


Solution:

Negative twenty-two hundredths times a number x = -0.22x.

The opposite of eighty-eight and eight tenths = -88.8.

-0.22x = -88.8
[Original equation.]

x = -88.8-0.22
[Divide each side by -0.22.]

x = 403.63
[Simplify.]

So, the value of x is 403.63.


Correct answer : (2)
 22.  
The sum of the opposite of twelve hundredths times a number x and thirteen hundredths equals fifteen hundredths. Solve for x.
a.
-0.166
b.
0.166
c.
-0.0166
d.
0.0166


Solution:

The opposite of twelve hundredths times a number x = -0.12x.

The sum of the opposite of twelve hundredths times a number x and thirteen hundredths is -0.12x + 0.13

Fifteen hundredths = 0.15

-0.12x + 0.13 = 0.15
[Write an equation.]

-0.12x = 0.02
[Subtract 0.13 from each side.]

x = 0.02-0.12
[Divide each side by -0.12]

x = -0.166
[Simplify.]


Correct answer : (1)
 23.  
Ursula is paid $8.75 for an hour and $1.25 for every patient she attends, in a hospital. Solve the equation 8.75 + 1.25p = 13.75 to find out the number of patients she needs to attend to earn $13.75 in an hour.
a.
5
b.
6
c.
3
d.
4


Solution:

Let p be the number of patients Ursula has to attend to earn $13.75 in an hour.

8.75 + 1.25p = 13.75
[Original equation.]

1.25p = 5
[Subtract 8.75 from each side.]

p = 51.25
[Divide each side by 1.25.]

p = 4
[Simplify.]

Ursula has to attend 4 patients in order to earn $13.75 in an hour.


Correct answer : (4)
 24.  
Lindsay wants to buy a bouquet of daisies and tulips for $27.5. A bunch of daisies costs $15 and that of tulips costs $2.5 each. Solve the equation 2.5t + 15 = 27.5 to find t, the number of tulips Lindsay can buy.
a.
6
b.
4
c.
5
d.
7


Solution:

2.5t + 15 = 27.5
[Original equation.]

2.5t = 12.5
[Subtract 15 from each side.]

t = 12.52.5
[Divide each side by 2.5]

t = 5
[Simplify.]

Lindsay can buy 5 tulips.


Correct answer : (3)

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