9.2 Exponential Equations & Sequences

Square Root Calculations

100

Simplify the expression: (√49 + √49) x 2

28

200

Simplify the expression: (10 + √16)/2

7

300

Simplify the expression: (√25) x (√25) x (√25) 

125

400

Simplify the expression: (√4)(√9)(√100)

60

500

Simplify the expression: (√25)(√49)(√4)(√4)

140

Roots

100

Find the 4th root of 256.

4

200

What is the 7th root of 128

2

300

What is 32 to the 5th power?

2

400

What is 36 to the 3/2 power?

216

500

What is 343 to the 4/3 power?

2401

Exponential Equations

100

1/16 = 4^x

x=-2

200

6^x = 1/216

x=-3

300

49^x = 7

x = 1/2

400

8-^1/3=x

x=1/2

500

81^-1/4=x

x=1/3

Random

100

What event is starting in Abu Dhabi today?

The Special Olympics

200

What Special Olympics country visited SZPAB on Sunday?

Isle of Man

300

What are the first 8 digits of Pi?

3.1415926

400

What shape is Pi used for in Maths questions?

Circle

500

Pick 2 Math teachers who were absent on Sunday:

Brian, Michael, Steve, Eric, Jason

Brian and Eric

Sequences

100

Determine whether the sequence is geometric, arithmetic, or neither. 1, 4, 9, 16, ...

Neither

200

Write an equation for the nth term of the geometric sequence. 2, 8, 32, 128, ...

 A_n = 2(4)^{n - 1}

300

Write an equation for the nth term of the geometric sequence. 1, -5, 25, -125, ...

A_n = 1(-5)^{n - 1}

400

Write an explicit rule for the sequence. 1600, -400, 100, -25, 6.25, ...

A_n = 1600(-1/4)^{_{n - 1}}

500

A₆=-128

A₃=16

Calculate the first term and the common ratio

A = 4

R = -2