Honors Math 8

Irrational numbers

100

Is .0134171949163017401739164810... rational or irrational?

Irrational

200

True or false. Explain.

4/7 is irrational. 

False, because all fractions are rational.

300

Which isn’t an irrational number? Choose all that apply

A. 6/7

B. 3.14159265...

C. -12990876

D. 3+7.1492756389

E. 2pi

A. C. D. 

400

True or false. Explain 

The number .625 is irrational, because it ends. 

False, it is rational because it terminates, and you know exactly what is going to come next.

500

True or False. Explain.

.666666666666666 is not a rational number. 

False, because you know what comes next. It will always be 6.

Exponents

100

What is an exponent? 

A. 3² -the 2 is an exponent

B. 6₈ -the 8 is an exponent 

C. 5³ -the 5 is an exponent 

A.

200

Which number is the exponent in the equation 3²+6

The 2

300

8³ times 8² equals...

8⁵

400

4⁵+6 is equal to...

1030

500

What is 3² times 3⁴?

3⁶

Scientific notation

100

1.304×10⁷=?

13040000

200

Express this in scientific notation.

13740000

1.374 time 10⁷

300

1.92 x 10³ is equal to...

1920

400

Write 0.13592 in scientific notation. 

1.3592 time 10^-1

500

3.159 x 10² equals...

315.9

Equations

100

Solve for x. 

4x-8+3=2x

A. x= 3

B. x= 2.5²

C. x=2.5

D. None of the above 

C.

200

One solution, No solution, or Infinite 

5(5-x)=5x+20

No solution

300

-p+7=-13

P=20

400

Solve for x

2(5-4.5x)+15=-4x

X=5

500

−11b+7=4

B=1

Square roots and cub roots

100

The square root of 9 is...

A. 6

B. 3

C. 1

D. 9

B. 3

200

True or False. 

The cube root of 1331 is 443.

False, it 11.

300

What is the square root of 81?

9

400

What is the cube root of 1728?

12

500

Explain which two whole numbers the square root of 24 is in between, and why. 

4 and 5, because the square root of 24 is around 4.9, and 4.9 is in between 4 and 5.