Level 6 Section 2 Test

(1) Select an expression equivalent to 4¹¹ × 4⁹

4²⁰

4⁹⁹

16²⁰

16⁹⁹

(2) Select an expression equivalent to (2³)⁶

2⁹

2¹⁸

6⁶

8⁹

(3) Solve for y when 5y = 20

y = 4

y = 20

y = 15

y = 100

(4) Solve for α when −4α = 5

α = −20

α = −1¹₄

α = ⁴₅

α = 1¹₄

(5) Solve for α when −5 + α = 13

α = 8

α = 18

α = −18

α = −8

(6) Solve for p when 2p + 7 = 21

p = −7

p = 7

p = 3

p = ³₂

(7) Solve for q when 3q − 4 = −9q + 8

q = −1

q = 1

q = −12

(8) Solve for x when 4(2x − 1) = 30 − 2(x + 7).

x = 2

x = 5

x = 8

x = 10

(9) Calculate ³₆ × ( − ⁴₅)

²₅

⁵₂

−²₅

−⁷₁₁

(10) Calculate −2¹₄ × −5²₃

− 12³₄

−⁴₅₁

⁴₅₁

12³₄

(11) Calculate 8 ÷ ⁴₅

²₅

10

6.4

2

(12) Calculate −³₇ ÷ ⁹₂₁

−1

⁹₄₉

−⁹₄₉

1

(13) Calculate 9²₇ ÷ (−2¹₂)

−3⁵₇

−⁷₂₆

⁷₂₆

3⁵₇

(14) Calculate (¹₃ + ¹₆) ÷ ¹₇

¹₂

²₇

³₉

3¹₂

(15) Calculate (2²₉ − 1¹₆) ÷ ¹₆

³₁₉

¹⁸₁₉

1¹₁₈

6¹₃