Exponents, Prime Factorization, and Order of Operations

The number 32 is equivalent to 2⁵.  Which of the following expressions is also equivalent to 32?

• 2 x 5
• 2 x 2 x 2 x 2 x 2
• 5 x 5
• 2 x 2 x 2 x 5 x 5

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.3

CCSS.6.EE.A.4

What is the prime factorization of 42?

• 2 x 21
• 6 x 7
• 2 x 3 x 7
• 4 x 2 

Which number has the prime factorization of 2³ x 3² x 5?

• 30
• 180
• 240
• 360

Tags

CCSS.6.EE.A.1

What is the expanded notation of 3³ x 5 x 7²?

• 3 x 3 x 3 x 5 x 7
• 9 x 5 x 14
• 3 x 3 x 5 x 5 x 7 x 7
• 3 x 3 x 3 x 5 x 7 x 7

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.3

Which of the following expressions is equivalent to 18?
        I.    (3 + 2)² - 7
        II.   -2 + 3² + (10 - 7)² 
        III.  2² x (6 + 3) ÷ 2

• I and II only
• I and III only
• II and III only
• I, II, and III

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.3

CCSS.6.EE.A.4

What is the whole number equivalent of the expression (23-11) ÷ 2 + (9-7)²?

• 64
• 16
• 2
• 10

Tags

CCSS.6.EE.A.1

What is the prime factorization of 120?

• 2³ x 3 x 5
• 2 x 3 x 4 x 5
• 3 x 5 x 8
• 2² x 3² x 5

Tags

CCSS.6.EE.A.1

Which of the following expressions is equivalent to 14?

• (36 ÷ 4 x 2) - 4
• (8 + 3)² - 8
• 3 x 5 + (4 - 5)²
• (9 x 2) + 2²

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.3

CCSS.6.EE.A.4

What is the whole number equivalent of the expression (3 + 2)² - 4 x 2?

• 2
• 17
• 42
• 1

Tags

CCSS.6.EE.A.1

Which of the following expressions is equivalent to 20?
             I.     2 x (1 + 2) + 7 x 2
             II.    2 + 3² + (4 -1)²
             III.   2² x (6 + 4) ÷ 2

• II only
• I and II only
• II and III only
• I, II, and III

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.A.4