Name_______________________________
Date_____________________
Sacred Heart School
Class_____________________
Math 6 Midterm Review Topics
The upcoming midterm will focus on the topics from unit one and two that
we have discussed in class thus far. Below is a detailed list of the information you
should focus on when studying. Please refer to your old tests and quizzes,
handouts, notes, the textbook, and the PowerPoint presentations on the website
for guidance. Textbook pages are also listed when possible for extra guidance.
Keep in mind; we have been working on things a bit differently than the textbook
does (try not to let that confuse you.)
Unit One
 Place Value (pg. 34-35)
 What is the definition of place value?
 What does the ‘th’ at the end of a place value mean?
 Write the name of the underlined place:
 3,406,332
 19.632
 Write the word name for the following numbers:
 245.063
 1,600,400.5
 Write the number listed below:
 Three million, seven hundred thousand and six tenths
 Expanded Form (pg. 36-39)
 Write 6,905.62 in expanded form:
 without exponents
 with exponents
 Operations with Multi-digit Numbers (pg. 46-51, pg.70-73, pg.92-103)
 Addition:
 Subtraction:
 1,234,567 + 42,004=
 57,234 – 26 =
 22.6 + 0.0034+ 5 =
 937.231 – 14=
 Division:
 57,234 ÷ 26 =
 876 ÷ 1.2=
 34.43 ÷ 4 =
 Estimation and Rounding (pg. 42, pg. 68-69, pg.90-91)
 What are the rules for rounding?
 Ex. Round 34.562 to the nearest hundredth.
 What is the purpose of estimation?
 Multiplication:
 479 x 63 =
 22.45 x 1.7=
 Ex. Estimate the answer, then divide for real with 352 ÷ 9. Round your
answer to the nearest tenth.
 Prime Factorization (pg. 182-183)
 What is a prime number?
 What is a factor?
 Ex. Create a factor tree for the number 46. Then write the prime
factorization.
 Write your prime factorization in exponential form.
 LCM, GCF, LCD (pg. 186-187, pg. 194-197)
 What is the difference between a factor and a multiple?
 List the multiples of 12 and the multiples of 10.
 What is the LCM?
 List the factors of 27 and the factors of 9.
 What is the GCF?
 What is the LCD of 9/10 and 3/5?
 What do we use LCD for?
 Fractions (pg. 226 –235, pg. 250-257, pg.260-265)
 Subtraction
 Addition
3
4
3
4
 2 =

+
=
5

5
15
7
12

+6=
 Multiplication
3
4
5
15
 5 x

7
12
x
4
9
=
=
11
12
15
-
4
9
=
 Division



3
5
7
18
÷
÷
4
15
4
9
=
=
Unit Two
 Order of Operations (pg. 122-123, pg. 266-267)
 What does PEMDAS stand for and how do we use it?
 How does the order of operations affect an expression or equation?
 Ex. 3(4+9) - 12÷ 62
 Ex. x + (2x + 3x) - 2x * 4
 Translating Expressions (pg.52-53,pg.106-107,pg.124-125)
Addition
Subtraction
Multiplication
Division
Plus
Difference
Product
Divided by
Sum
Minus
Triple
Quotient
Increased by
Decreased by
Double
Broken into
More than
Diminished by
Squared
Add
Subtract
Cubed
Times
Half of
 Translate the following sentences into mathematical expressions:
 Three times a number increased by seven.
 A number squared plus the sum of four and two.
 Translate the following into English sentences.
 2x – 12
 1.6 + (6÷x)
 Substitution (pg.54-55,pg.108-109, pg.126-127)
 What does evaluation mean?
 evaluate the expression 12x2 + 16x + 1 when x=6
 evaluate (12s + 3) – 2q , s=0.5 and q=1.6
 When translating and solving word problems, what are the steps we follow?
 C- cross out unnecessary information
 U T E Exponents(pg.74-75)
 What does an exponent tell us in an expression?
 Ex. What do I mean by 42?
 Write each expression using an exponent.
 3x3x3=
5 cm
 2x2x2x2x2=
 Find the area of the rectangle.
7 cm
 Properties (pg. 8, 222-223,254-255)
 Explain each of the following properties in a sentence.
 Associative Property
 Commutative Property
 Identity Property
 Inverse Property
 Distributive Property
 Label the property being shown:
 5.9 * 1 = 5.9
 (3 *2) – (3*6) = 3(2-6)
 246 + 0 = 246
 (4+3) +2 = 4+(3+2)
 5 + (-5) = 0
 3.23 + 6.7 = 6.7 + 3.23
 12 * (1/12) = 1
 Simplify the following using the distributive property.
 3(x+4)
 5 + 2(5 – x)
 Simplification Using the Additive Inverse
 How do we use the additive inverse property to simplify expressions?
 Simplify the following.
 3 + x -3 + 5
 -x + x -2x
 -49d +8g+12x - 8g + 49d
 Combining Like Terms (pg.127)
 What are like terms? What does it mean to combine them?
 Why can’t x2 and x be combined?
 Ex. 3x2 + 2x2 - x + 12x + 6
 Ex. 4.3 + y – y2 + 22.16+ 2y
 Ex. ½ (x+5) + ¾ x + 7

One-Step Equations (pg.130-135)
 Which equations are inverses (opposites)?
 What do we mean when we say ‘cancel’ in addition and multiplication?
 Solve the following equations:
 n+3=7
 r – 12 = -23
 22s = 56
 y = 1.07
4
 5z = 1
7
14
 Solving Inequalities (pg.128-129)
 How do inequalities differ from one step equations?
 What does the solution to an inequality look like?
 Ex. Solve the following and graph the solution.
 y + 4 >6
 3p < 15
 12.6k ≤ 189

12
7
≥
9
7
+x
Vocabulary
Below are some of the words from unit one-three. Ten of these will be on the exam.
Place Value
Quotient
Dividend
Divisor
Product
Sum
Difference
Exponent
LCD
GCF
Simplify
Solve
Order of
Operations
Inequality
Prime
Factorization
Evaluate
LCM
Monomial
Polynomial
Like Terms