Chapter 4 Review

Factors

100

What is the difference between a prime and composite number?

Prime: has only one and the number itself as factors

Composite: Has factors beyond one and itself

200

What is the prime factorization of 104?

2 × 2 × 2 × 13

300

Factor the monomial: 98a³b²

2 x 7 x 7 x a x a x a x b x b 

400

Find the GFC of 12, 40, and 68

4

500

Find the GCF of 15xy², 42x²y, and 63xy

3xy

Fractions

100

Simplify the fraction 12/30

2/5

200

Write a fraction in simplest form equivalent to 12/21

4/7 

300

Simplify 22m²n/11mn²

2m/n

400

Which fraction is greater: 4/18 or 30/72?

30/72

500

Describe the process for writing equivalent fractions

Multiply or divide the numerator and denominator by the same number 

LCM

100

What is the LCM of 15 and 75?

75

200

Find the lowest number equally divisible by 18 and 24

72

300

In what way are LCM and LCD similar?

The LCD is the LCM of the denominators of two fractions

400

What is the LCM of 4x³y⁵ and 7xy⁴z²

28x³y⁵z²

500

A shop sells candles in packs of 12 and candle holders in packs of 8. What is the least number of packs of candles and holders Mrs. Gilbert should buy so there is exactly one holder for each candle?

The LCM is 24, so 2 packs of candles and 3 packs of candle holders

Exponent Rules

100

a³ (a⁶) = _____

a⁹

200

6c⁷ x 8c⁵d

48c¹²d

300

912⁰

1

400

7d^-3

7/d³

500

15d^-2/10c^-4

3c⁴/2d²

Scientific Notation

100

Why is 13.5 x 10⁶ not in scientific notation?

13.5 is not a number between 1 and 10

200

Write the number in scientific notation: 

67,000,000

6.7 x 10⁷

300

Write the number in scientific notation: 

0.000000003409

3.409 x 10^-9

400

Write the number in standard form:

7.099 x 10 ¹¹

709,900,000,000

500

Compare using <,>, or =:

4.8 x 10^-5 _____ 4.8 x 10^-8

>