Rational or Irrational?
Between the Numbers
Exponent Rules
Root Rush
Solve & Apply
100

Is this number rational or irrational?

sqrt{36}

Rational

100

What two whole numbers is this value between?

sqrt(30)

 

5 and 6

100

Simplify the expression. And state the rule(s) you used.

5^3cdot5^4

5^7

100

Evaluate th expression.

sqrt(196)

14

100

Find all possible values.

x^2=144

x=12 or x=-12

200

Is this number rational or irrational?

sqrt{22

Irrational

200

What two whole numbers is this value between, and which is it closer to?

sqrt(55)

7 and 8

Closer to 7

200

Simplify the expression. And state the rule(s) you used.

\frac{8^9}{8^5}

8^4

200

Evaluate the expression.

root3(125)

5

200

Solve the equation.

x^3=729

x=9

300

Which value is irrational?

frac{3}{4},\ 0.625,\ \sqrt{15},\ \sqrt{49}

sqrt{15}

300

Put these values in order from least to greatest.

sqrt (12), 3, 7/2, sqrt(8)

sqrt(8), 3, sqrt(12), 7/2

300

Simplify the expression. And state the rule(s) you used.

(4^2)^3

4^6

300

Evaluate the expression.

\sqrt{\frac{100}{49}}

10/7

300

A square has the area shown below. Find the length of one side.

256ft^2

16ft

400

How many of these values are rational?

sqrt{64},\ \sqrt{12},\ \frac{11}{5},\ \pi,\ 0.333...

3

sqrt{64},\ \frac{11}{5},\ 0.333...

400

Put these values in order from least to greatest. 

21/4, root3(64), sqrt(36), sqrt(24)

root3(64), sqrt(24), 21/4, sqrt(36)

400

Find the missing exponent.

3^{?}\cdot3^6=3^{14}

?=8

400

Evaluate the expression.

sqrt(121)+root3(64)

sqrt(121)=11& root3(64)=4

11+4=15

15

400

A cube has the volume shown below. Find the length of one edge.

1,331 cm^3

11cm

500

Which value is rational? 


\sqrt{40},\ root3(27),\ \pi,\ \sqrt{11

root3(27)

root3(27) = 3

500

Which value is greatest? 

sqrt(45), root3(343), 29/4, sqrt(49)

29/4

500

Simplify completely. And list the rule(s) used.

\frac{2^9\cdot2^4}{2^7}

2^6

500

Evaluate the espression.

frac{root[3]{216}+\sqrt{81}}{\root[3]{125}}

root3(216)=6 and sqtr(81)=9 and root3(125)=5

(6+9)/5

15/5

3

500

Evaluate the expression.

\frac{\sqrt{225}+\root[3]{125}}{2^2

sqrt(225)=15 and root3(125)=5 and 2^2=4

(15+5)/4

20/4

5