Unit 1 Review 8th grade Math

Rational/Irrational

100

Is 3/11 rational or irrational?

rational

200

Is 1.2382910120934554803509723548613045... rational or irrational

irrational

300

Determine a rational number between 1/3 and 3/4.

Different Answers.e.g 1/2

400

is 3.444.... rational or irrational

rational

500

Is the Square root of 44 rational or irrational

Irrational

Exponents

100

Simplify: ( 3²)⁴

3⁸

200

4³ x 4⁶

4⁹

300

104938756⁰

1

400

9⁶ / 9³

9³

500

3³ / 3⁶ 

1/27

Sq.Root/Cube root

100

x^2=15

+ or - sq.root 15

200

11 and -11 are sq.roots of what number?

121

300

Place in order: √144,√4,3√64,3√1000

√4, 3√64,3√1000,√144

400

Why doesn’t a cube root have two answers?

b/c in cube root, (2)^3= 8 (-2)^3=-8

500

√81 + 3√64 = ?

13

scientific notation

100

Write 2.3 x 10³ in standard form

2300

200

Write 8.6 x 10^-5

0.000086

300

The mass of a paper clip is 9.4 × 1 0^ -4 kilogram. What is this mass in standard form?

0.00094 kg

400

 3.0 x 10⁸ times 4.5 x 10²

13.5 x 10¹⁰

500

Divide: (8.0 x 107 ) / (2.5 x 105 )

3.2 x 10² = 320

Equations

100

Write this statement as an equation. Six more than the quotient of a number and three is 14.

14 = x/3 + 6

200

What is the solution of the equation below? 2p - 14 = 4(p + 5)

-17

300

What is the solution of the equation below? -2(2p - 4) = 3(p + 12)

-4

400

A moving company charges $40 plus $0.25 per mile to rent a van. Another company charges $25 plus $0.35 per mile to rent the same van. For what number of miles will the rental cost be the same for both companies?

150 miles

500

A taxicab service charges $3.75 plus $0.40 per mile. Molly takes a taxicab from the hotel to the airport. If the total charge was $10.95.Determine the number of miles from the hotel to the airport?

18