Converting Decimals and Fractions
Estimating Square roots
Rational or Irrational
Number of Solutions
Multi-step equations
100
Write 5/6 as a decimal
.83333333
100
What is the square root of 16
4
100
Is .1235 rational or irrational? Why?
Rational because it terminates
100
2x - x + 7 = x + 3 + 4
Infinite Number of Solutions
100
6a + 5a = −11 solve for a
a = -1
200
Write .15 as a fraction
3/20
200
What is the square root of 144
12
200
Is .222222222222222222222 rational or irrational?
rational because it repeats a pattern
200
x + 5x + 4 = 3(2x - 1)
No Solution
200
r + 11 + 8r = 29 Solve for r
r = 2
300
Write 1 1/7 as a decimal
1.142857142857142857
300
Estimate the square root of 15
about 4
300
Is the square root of 13 rational or irrational?
Irrational because it is not a perfect square
300
3x - x + 4= 4(2x -1)
One Solution
300
−10p + 9p = 12 solve for p
p = -12
400
Write -.875 as a fraction
-7/8
400
estimate the square root of 134
about 12
400
Is .00100002000030004... rational or irrational? Why?
Irrational because it does not repeat or terminate
400
2(3x+3) = 3(2x+2)
Infinite
400
−13 = 5(1 + 4m) − 2m solve for m
m = -1
500
Write 1.5454 as a fraction
1 6/11
500
estimate the square root of
1230
500
Is 3.14159... rational or irrational?
Irrational because pi is non repeating and non terminating
500
4(x-1) =1/2 (x-8)
One
500
5(2x + 6) = −4(−5 − 2x) + 3x Solve for x
x = 10
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