Math Midterm Study Guide
Topics: Chapters 1-7 & selected topics from Chapter 8
Format: Multiple Choice, Problems, Word Problems, Short Answer (more details on
the length of exam will be given in class)
Tips on Studying: Review Homework Problems, Review End of Chapter Study
Guides in Textbook
Here is a checklist of concepts and sample problems that you are expected to know
how to do for the midterm exam. The problems listed are for studying purposes
only. You will not need to hand these problems in as an assignment.
Chapter 1
 Translate verbal phrases into numerical expressions (pg. 9, #12-17)
 Use the order of operations to evaluate expressions (pg. 9, #18-29)
 Translate verbal expressions into algebraic expressions (pg. 16, #12-17)
 Evaluate expressions containing variables (pg. 16, #32-37)
 Identify and use properties of addition and multiplication (pg. 22, #18-25)
o Commutative
o Associative
 Use properties to simplify algebraic expressions (pg. 22, #26-37)
 Use ordered pairs to locate points (pg. 34, #12-27)
 Identify the domain and range of a set of ordered pairs (pg. 34, #28-31)
 Use graphs to represent relations (pg. 34, #32-36)
 Use tables, graphs and algebraic expressions to represent relations (pg. 39,
#9-11)
Chapter 2
 Compare and order integers (pg. 49, #20-25 & 56-61)
 Find the absolute value of an expression (pg. 50, 36-50)
 Add more than two integers (pg. 59, #24-32)
 Subtract integers (pg. 65, #9-30)
 Multiply integers and simplify algebraic expressions containing integers (pg.
74, #11-18; 21-28)
 Divide integers and find the mean (average) of a set of data (pg. 80, #13-29)
 Graph points and algebraic relationships in the four quadrants (pg. 85, #2033)
Chapter 3
 Write fractions as a terminating or repeating decimal (pg. 98, #16-27)
 Compare fractions and decimals (pg. 98, #41-46)
 Write rational numbers as fractions (pg. 104, #15-20)
 Identify and compare rational numbers (pg. 104, #29-34)
 Multiply positive and negative fractions and evaluate algebraic expressions
(pg. 110, #35-42)
 Divide positive and negative fractions and evaluate algebraic expressions
(pg. 117, #26-35, 36-39)
 Add and subtract rational numbers with common denominators (pg. 123,
#12-27)
 Add and subtract unlike fractions (pg. 129, #25-33)
Chapter 4
 Write and evaluate expressions containing positive exponents (pg. 138, #1324, 40-51)
 Write and evaluate expression using negative exponents (pg. 143, #14-21,
32-40)
 Multiply and divide monomials (pg. 150, #19-30, #21-42)
 Express numbers in standard form and scientific notation (pg. 156, #12-25)
 Add, subtract, multiply and divide numbers in scientific notation (pg. 163,
#11-26, 35-42)
 Find square and cube roots (pg. 172, #22-27, 29-36)
 Identify and compare numbers in the real number system (pg. 177, #14-25)
Chapter 5
 Write ratios as fractions in simplest form (pg. 186, #18-25)
 Find unit rates (pg. 191, #9-18)
 Use unit rates to solve problems (pg. 191, #24)
 Simplify complex fractions (pg. 197, #41-46)
 Convert rates using dimensional analysis (pg. 203, #25-30)
o Measurement conversions will be given on the exam
 Identify proportional and nonproportional relationships (pg. 208, #10-13)
 Use cross products to solve proportions (pg. 222, #31-36)
 Use scale drawings and write scale factors (pg. 227, #7, 11-16)
 Find missing measures of similar figures (pg. 235, #4-7, 13)
 Solve problems using indirect measurement (pg. 240, #7-8)
Chapter 6
 Apply the percent proportion to real-world problems (pg. 253, #29-32)
 Solve real-world problems involving taxes (pg. 265, #17-18, 23-25)
 Find percent of increase and decrease (pg. 272, #7-14)
 Find percent error (pg. 272, #17-21)
 Solve real-world problems involving discount and markup (pg. 278, #28-29,
37)
 Solve simple interest problems and apply the simple interest equation to
real-world problems (pg. 283, #10-16)
 Solve compound interest problems (pg. 283, #17-22)
Chapter 7
 Use the Distributive Property to simplify an algebraic expression (pg. 302,
#37-44)
 Add linear expressions (pg. 307, #6-11, 16)
 Subtract linear expressions (pg. 312, #6-11, 13)
 Use properties to factor linear expressions (pg. 319, #30-38, 47-50)
Chapter 8
*Chapter 8 topics will only be included on the exam if we have time to cover them in
class prior to the exam
 Solve equations by using the Division Property of Equality (pg. 327, #12-26)
 Solve equations by using the Multiplication Property of Equality (pg. 327,
#29-40)
 Solve two-step equations (pg. 336, #39-50)
 Write two-step equations (pg. 341, #11-14)
 Solve equations of the form p(x+q) = r (pg. 349, #15-26)
Short Answer
Possible Questions:
 Why is it useful to write numbers in different ways such as scientific
notation, exponents, square roots, etc?
 How do you know if a number is going to be positive or negative when
adding, multiplying, subtracting or dividing integers?
 How can you use numbers and symbols to represent mathematical
ideas? Describe an example of a time when you would need to use this
skill in the real world.
 How can you identify and represent proportional relationships?
 Explain how you use proportional relationships to solve real-world
percent problems.
 Why are algebraic rules useful?