MAP4C Math Assignments: Lessons 7-13 - Solving Equations and Functions

This document presents solutions for a series of MAP4C math assignments, spanning lessons 7 through 13. The assignments cover a range of mathematical concepts, starting with solving exponential expressions, progressing to compound interest calculations, and then delving into linear functions and their applications. Further assignments explore characteristics of linear functions, including rate of change and applications, and conclude with problems related to quadratic functions. Each assignment includes multiple-choice questions and problem-solving exercises, with a focus on demonstrating the steps and strategies used to arrive at the solutions. The solutions provide detailed explanations and answers for each question, facilitating a comprehensive understanding of the covered topics. This resource serves as a valuable tool for students to review and master the key concepts of the MAP4C Foundations of Mathematics course.

MAP4C Lesson 7 Assignment
In this assignment you are going to explore how to solve exponential expressions.
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 3 marks: 2 mark for the steps and 1 mark for the correct answer.
Multiple Choice
Identify the choice that best completes the statement or answers the question.
_ ( 22 )3 __1. Write as a power with base 2.
___44 _ 2. Write as a power with base 4.
__28__ 3. Write as a power with base 2.
__3^(-8)__ 4. Write as a power with base 3.
Page 1
43= ( 22 ) 3
( 4¿¿ 2)2=44 ¿
( 4¿¿ 2)2=( 44 )=28 ¿

__3__ 5. Solve.
__10__ 6. Solve.
]
_-2___ 7. Solve .
___4_ 8. Solve .
__5__ 9. Solve.
__-8__10. Solve.
__-3__11. Solve.
Page 2
6 = 2x
X=3
3y = 30
Y =10
9 = 15 +3m
m = -2
2p+1 = 9
P = 4
3x-7 = 2x-2
X= 5
3y +6 = 2y – 2
Y = -8
5m -15 = 6m – 12
m = -3

___2_ 12. Solve.
___3_ 13. Solve.
___2.9_14. Solve . Round your answer to one decimal place.
___5.4_15. Solve . Round your answer to one decimal place.
Page 3
12p = 6p +12
P =2
12(2x+1)= 12 (3x-2)
X= 3
K= 2.9
X= 5.4