Mixed Review (Real Numbers, Exponents, Solving Equations)

Numbers

100

Is 

-9 

 rational or irrational? 

Rational

200

Is 

3.1589109581293587...

 rational or irrational? 

Irrational

300

Is 

-3/10 

rational or irrational?

Rational

400

Is 

sqrt36 

rational or irrational?

Rational.

sqrt36 = +/- 6

500

What makes a number

 rational ?

It CAN be written as a fraction

Exponents

100

What is 2⁵?

32

200

What is (-5)⁴?

625

300

What is -8³?

-512

400

Simplify  

 7^4 * 7^-9  

 1/7^5 

500

Simplify 

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

1/3^13

Solving Equations

100

Solve for x.

2x + 3 = 43

X = 20

200

Solve for y:

-5y - 4 = 46

y = -10

300

Solve for r:

2r - 3(2r - 3) + 4 = 33

r = -5

400

Solve for p:

3(2p + 2) - 4(p - 5) = 18

p = -4

500

Solve for k:

3/2k + 1/2(k - 4) = 6

k = 4

Solving Equations with Variables on Both Sides

100

Solve for s:

6y - 7 = -3y + 2

y = 1

200

Solve for n: 

14 + 3n = 8n - 3(n - 4) 

n = 1

300

Solve for p:

-6(-p + 8) = -6p + 12

p = 5

400

Solve for f:

3/8f + 1/2 = 6(1/16f - 3)

No solution

500

Solve for t:

1/3(t + 6) - 10 = -3t + 2

t = 3

Mixed

100

What makes a number  irrational ?

It CAN'T be written as a fraction

200

Solve for n:

 3/4n + 2 = 11 

n=12

300

Solve for y:

1/2(y-5) = 1/4(y-1)

y = -6

400

Solve for x:

 0.06x+0.02=0.25x-1.5 

x=-8

500

Solve for x:

 1/2(x+2/3)=3(x-1) 

x=4/3