Powers and Patterns: Squares, Cubes, Exponents & Algebra

Question 1

Which expression has the same value as 2^3 × 2^4?

Accepted Answer

2^7

Answer

2^12

Answer

4^7

Answer

2^1

Question 2

A square number is increased from 81 to the next larger square number. By how much does it increase?

Accepted Answer

18

Answer

17

Answer

19

Answer

21

Question 3

Which of the following is a cube number but not a square number?

Accepted Answer

125

Answer

64

Answer

144

Answer

256

Question 4

If x^2 = 49 and x is negative, what is the value of x^3?

Accepted Answer

-343

Answer

-147

Answer

147

Answer

343

Question 5

Which algebraic expression is equivalent to (3a^2b)(2ab^3)?

Accepted Answer

6a^3b^4

Answer

5a^3b^4

Answer

6a^2b^3

Answer

6a^3b^5

Question 6

The difference between consecutive cube numbers 4^3 and 5^3 is:

Accepted Answer

61

Answer

41

Answer

51

Answer

71

Question 7

Which value of n makes 3^n equal to 81?

Accepted Answer

4

Answer

3

Answer

5

Answer

2

Question 8

If y = 2 and z = -3, what is the value of y^2 + z^3?

Accepted Answer

-23

Answer

-5

Answer

13

Answer

31

Question 9

Which pair of consecutive integers has squares that differ by 21?

Accepted Answer

10 and 11

Answer

9 and 10

Answer

11 and 12

Answer

12 and 13

Question 10

Which expression simplifies to x^5?

Accepted Answer

x^8 ÷ x^3

Answer

x^2 × x^2

Answer

x^10 ÷ x^2

Answer

x^3 + x^2

Powers and Patterns: Squares, Cubes, Exponents & Algebra

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