7th Grade Math

Chapter Study

Guide and Review

Key Concepts

Expressions (Lesson 1)

To evaluate expressions, use the order of

operations and properties.

Order of Operations

• Do all operations within grouping symbols first.


• Evaluate all powers before other operations.


• Multiply and divide in order from left to right.


• Add and subtract in order from left to right.

Sequences (Lesson 2)

• A sequence is an ordered list of numbers.


• Each number in a sequence is called a term.


• In an arithmetic sequence, each term is found by
  adding the same number to the previous term.

An arithmetic sequence

+ 5

8, 13, 18, 23, ...

+ 5 + 5

Squares and Square Roots (Lesson 3)

• The square of a number is the product of a
  number and itself.


• A square root of a number is one of its two equal
  factors.
  radical sign √^  25 = 5

Key Vocabulary

algebra

algebraic expression

arithmetic sequence

base

coefficient

cubed

equivalent expressions

evaluate

exponent

exponential form

factors

numerical expression

order of operations

perfect square

powers

radical sign

sequence

squared

square root

standard form

term

variable

Vocabulary Check

State whether each sentence is true or false.

If false, replace the underlined word or

number to make a true sentence.

1. Numerical expressions have the same
   value.


2. The coefficient of the expression 4n is 4.


3. Two or more numbers that are multiplied
   together are called powers.


4. A sequence is an ordered list of numbers.


5. The product of a number and itself is the
   square root of the number.


6. The number 3^3 is written in standard
   form.


7. A square root of a number is one of its
   three equal factors.


8. The expression 9^2 is read as nine squared.

Be sure the following

Key Concepts are noted

in your Foldable.

2B2A1D

1A1B

Expressions 1C

Patternsand

ExpressioExpressioExpressio

Patandandand

Patternsterns

64 Expressions and Patterns

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