Misc. Math

Sequences

100

4, 8, 12, 16...  Arithmetic or Geometric?

Arithmetic

200

10, 15, 20, 25, 30... What is the common difference?

5

300

50, 60, 70, 80... What is the zero term?

40

400

3, 12, 48, 192...  What is the common ratio?

4

500

9, 12, 15, 18... What is the explicit formula?

t(n)=3n+6

Exponents

100

3⁴

81

200

(2x²)(2x²)

4x⁴

300

(5x³y²)(3x²y⁴)

15x⁵y⁶

400

(4x³y⁵)²

16x⁶y¹⁰

500

5³+3⁵

125+243=368

Distributing

100

2(3x)

6x

200

5(x+4)

5x+20

300

3+8(x+2)

8x+19

400

6(x+3)+2(x+4)

8x+26

500

5+4(2x+2)+6(4x)

32x-3

Slope/y-intercept

100

y=3x+10    What is the slope?

3

200

y=4x+6   What is the y-intercept?

6

300

(3, 5)(6,10)  What is the slope?

5/3

400

y=x+7  What is the slope?

1

500

Slope is 4.  Y-intercept is 8. What is the slope intercept formula?

y=4x+8

Fractions

100

1/2  + 1/2=

2/2=1

200

8/5 + 4/5=

12/5

300

4/6 + 5/12 =

13/12

400

1/3 + 1/2=

5/6

500

3/4 + 2/5 =

23/20