Solve Equations with Fractions and Decimals
Solving Equations
Review: Simplifying Expressions
Review: Order of Operations
Solve and then determine if the equation has one solution, no solution, or is an identity.
100

Solve for x:

(2/3)x-3=(7/3)x+8

x=-33/5

100

Solve for x:

2x+45=-3

x=-24

100

Simplify: 7x+3-2x+5

5x+8

100

Simplify:  20-5*3+8

13

100

2(b-4) = 2b-8

-8 = -8 

Identity: All Real Numbers


200

Solve for p:

5.75-1.50-0.17p=0

p=25

200

Solve for x:

5(x-12)-2 = 18

x=16

200

Simplify: 4(2x-3)


8x-12

200

20-5*3+(8/4)2

9

200

3p+5 = 5p-2p-2

5 = -2

No Solution

300

Solve for h:

0.1h-0.2 = 1.4

h = 16

300

Solve for x:

5(2x+3)-8=65

x=58/10 or 5.8

300

Simplify: 2(3x+1)+4x-5

10x-3

300

-15+6-(-4)*3

3

300

2n+7 = 3n-2

n = 9

One Solution

400

Solve for x:

(5/9)(x-18)-3=2

x = 27

400

Solve for x:

17=-12x+3-1-3x

x=-1

400

Simplify: -3x+4(x+2)-5

x+3

400

5(12-9)/3

5

400

-3(1+9r) = 6r+3(1-11r)-6

-3 = -3

Identity: All Real Numbers

500

Solve for x:

(-2/3)x + (5/4) = (1/2)

x = (9/8)

500

Solve for m:

-7m+m = -9(m-2)-9(-4-m)

m = -9

500

Simplify: -4x+7(3x)-3x-7x

7x

500

7-(15+6)/7+2-6

0

500

(1/2)(12x-8) = 6x+3

-4 = 3

No Solution

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