Solving Equations with Fractions and Decimals
Totally Random Questions
Solving Each System of Equations with Fractions
Who Knows What's in Here?
Grab Bag - Good Luck!
100

Solve:

1/2x +2/3 = 3/4

12(1/2x+2/3)=12(3/4)

6x + 8 = 9

6x = 1

x = 1/6

100

Solve for x:


x = 20

100

Solve:

y = -3x +2

y= -15/4x + 3


x= 4/3,  y= -2

100

Find the area of the circle:


x = 900pi 

x ~~ 2,827.43

100

Which whole number is this closest to?

sqrt(154)

12

200

Solve:

1.1x + 0.35x=29

100(1.1x + 0.35x) = 100(29)

110x + 35x = 2900

145x = 2900

x = 20

200

Which one is not a function. Justify your answer.

A is a function. Every input only has one output.

B is not a function because the x value of 2 cannot have more than 1 different output.

200

Solve:

y= x/6 + 1/4

y= x - 9/4


x=3,  y = 3/4

200

Write the number in scientific notation:

5.0  x  10^7

200

Solve for x:


x = 20

300

Solve:

x + 0.15x = $2


100(x+0.15x)=$200

100x + 15x= $200

115x = $200

x = $1.74

300

Solve for the area of the circle. The radius is 8.5 cm.


x = 72.25pi

x~~ 226.98

300

Solve:

y = x/2 - 1

y = x+3/12


x=3,  y=1/2

300

Find the missing length:


a^2+b^2=c^2

32^2+24^2=c^2

1,024 + 576 = c^2

1,600 = c^2

c = 40


300

Rewrite as a Repeating Decimal:

312/999


400

Solve:

1/5x + 1/3 = 2

15(1/5x+1/3x)=15(2)

3x+5x=30

8x=30

x= 30/8 = 15/4 = 3 3/4

400

Without using a calculator, order the numbers below from least to greatest:


sqrt(102), 10, 3pi, sqrt(99), 1.1x10^1, 9.099

3pi, 9.099, sqrt(99), 10, sqrt(102), 1.1x10^1


400

Solve:

y= 7x +2

y= 2x - 10 1/2


x = -2 1/2,  y = -15 1/2

400

Solve:

12/x^3


400

Find the volume of the cylinder:


V=Bh  Volume = (area of base)(height)

(r^2pi)(h)

B=(12)^2pi = 144pi cm^2

Volume = 144pi(15) = 2160pi~~6785.84 cm^3


500

Solve:

x/10 + 5/12 = 3x -1

x = 60/149

500

Find the volume of the cone:


Volume of a cone = 1/3 (base area)(height)

V=1/3pir^2h

1/3pi8^2(20)

1,280pi/3

426.66pi

~~1,340.41


500

Solve:

y = 1/3x + 8

y = -1/2x - 2


x = -12,   y = 4

500

Find the rule. What is the slope?

500

Find the slope:

(2,-6), (4, -3)

(-3 - -6)/ (4 - 2)

-3/2


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