MBF3C Math Assignment: Exploring Geometric Shapes and Functions

This assignment comprises several modules covering core mathematical concepts. The first module focuses on exponents, requiring students to simplify and evaluate expressions. Subsequent modules delve into compound interest, tasking students with calculating investment growth and determining principal amounts. Further, the assignment explores linear functions, including identifying slopes, intercepts, and solving equations. The final module introduces quadratic functions, asking students to analyze graphs, identify key features, and solve related problems. The assignment covers various mathematical topics, providing a comprehensive assessment of students' understanding of these concepts. The assignment includes multiple-choice questions, true/false questions, and problem-solving sections, requiring students to demonstrate their ability to apply formulas and interpret data. The assignment evaluates students' understanding of foundational mathematical concepts, including exponents, compound interest, linear functions, and quadratic functions, through a variety of problem types and question formats.

MBF3C Lesson 6 Assignment
In this assignment you are going to explore how to determine the area and volume for a variety of
geometric shapes.
Make sure you answer all questions in the spaces provided
Part A: Finding the Answer
In this section, you are going to use the appropriate rule of exponents to find the answer.
Simplify means to write the answer as a new exponent. e.g. to simplify 23 × 24 = 23+4 = 27
Evaluate means to write the answer found by using the exponent e.g. to evaluate 24 means 16
In the textbox given, write the steps that you used to solve the problem. Enter the answer on the line to the left
of the question number. Each question is worth 2 marks: 1 mark for the steps and 1 mark for the correct
answer.
_44___ 1. Simplify.
__68__ 2. Simplify.
__( −3 )27__ 3. Simplify. [ (−3 )3 ]9
___
5−9
_ 4. Simplify.
_1___ 5. Simplify.
Page 1
= 47−3=44
= 610−2=68
5−8 +5
53× 2 =5−3−6=5−9
[ ( −3 )
3 ] 9
= ( −3 ) 3 × 9= ( −3 ) 27
84 +6
810 =1

Page 2

___−79
_ 6. Simplify.
___ x−5 y−8
_ 7. Simplify.
__
a3 b10
__ 8. Simplify
__1/4__ 9. The expression is equivalent to
_36___ 10. The expression is equivalent to
__0.44__ 11. Simplify and then evaluate. Round your answer to two decimal places.
____ 12. Simplify and then evaluate. Round your answer to two decimal places.
Page 3
( −7 ) 5−4
−7−8 =−71+8 =−79
x2−7 y (−5−3 )=x−5 y−8
a4−1 b7+3 =a3 b10
1/4
(−3 )6 =36
( 1.07 ) −3× 4 =1.07−12=0.44
( 1.25 ) (−7+3 )×−2= ( 1.25 )8 =5.96

Page 4

_1___ 13. Simplify and then evaluate. Round your answer to two decimal places.
__12__ 14. Evaluate.
___7_ 15. Evaluate.
___5_ 16. Evaluate.
___4.179_ 17. Evaluate. Round your answer to three decimal places.
___8_ 18. Evaluate.
__64__ 19. Evaluate.
__25__ 20. Evaluate.
Page 5
( 0.63 )−8
( 0.63 )
−8 =1
12
3
√73
5
√ 105
3
√ 4.1793
(8¿ ¿3)1
3 =8 ¿
( 42 )
3
2 =42× 3
2 =43=64

Page 6
(−5 )3 × 2
3= 25

__
18.803__ 21. Evaluate. Round your answer to three decimal places.
__6.25__ 22. Evaluate. Round your answer to three decimal places.
_26___ 23. Write as a power with base 2.
__28__ 24. Write as a power with base 2.
___3−8_ 25. Write as a power with base 3.
Page 7
50
3
4 =18.803
( −1.25 )
2
3 = ( −2.5 ) 3 × 2
3 =6.25
43=22 × 3=26
( 24 )2
=28
(3¿¿ 4)−2=3−8 ¿