1. Tips for Success Get ready for This Course Tips for Success
Use the Text
Get Help
Preparing for Tests
Manage your Time

2. 1.1 Number Operations Types of Numbers Natural Numbers (N): {1,2,3,…}
Whole Numbers (W): {0,1,2,…}
Integers: (Z): {…-2, -1, 0, 1, 2, …}
Rational Numbers (Q): {a/b a and b are integers and b ≠ 0}
Irrational Numbers (I) : {Any non repeating -non terminating number}
Real Number (R): {The set of all rational and irrational numbers}

3. 1.1 Number Operations Simplify 2 + 48 ÷ 6 5(8 - 6) + 2(4 -1)
3 - 4(2 - 7)
5 + [2 + (4 - 1) + 3(6 ÷ 2)]
[24 - (2  8)] + 4(12 - 7)

4. 1.1 Number Operations
Write as decimals

5. 1.1 Number Operations
Write as percents

6. 1.1 Number Operations
Write as fractions

7. 1.1 Number Operations
Find the area
8 in
5 in
4 ft
2 ft

8. 1.2 Variables in Algebra Definition of Algebraic Expression
A collection of letters (called variables) and real numbers
(called constants) combined using the operations of
addition, subtraction, multiplication and division is called
an algebraic expression.
Term An expression separated by a plus or minus sign
Variable A letter that represents a number
Coefficient A number in front of a variable

9. Algebraic Expressions
1.2 Variables in Algebra
Algebraic Expressions
5 + x  y  y – 4 + x
4x means 4 x
and
xy means x  y

10. 1.2 Variables in Algebra Evaluate if a = 2, b = 3, and c = 4 3a - 2b
4ac - 3a
4(a + 2c)

11. 1.3 Exponents and Powers Exponents
If a is a real number and n is a natural number, then the nth power of a, or a raised to the nth power, written as an, is the product of n factors, each of which is a.
exponent
base an = a • a • a … • a

12. 1.3 Exponents and Powers
72 is read as seven to the second power or 7 squared.
43 is read as 4 to the third power or 3 cubed.

13. 1.3 Exponents and Powers Solve if x = 4 and y = 3 3x2 + 2y3 4(x + 3y)3

14. 1.3 Exponents and Powers Formula Meaning A = lw Area of a rectangle
A formula is an equation that describes a known relationship among measured quantities.
Formula
Meaning
A = lw
Area of a rectangle
A = πr2
Area of a circle
V = lwh
Volume of a rectangular solid
d =rt
Motion equation

15. 1.4 Order of Operation Order of Operation
1. Do all operations within grouping symbols such as parentheses or brackets.
Evaluate any expressions with exponents.
Multiply or divide in order from left to right.
4. Add or subtract in order from left to right.

16. 1.4 Order of Operation 24 - 12 + 3 • 5 16 + 21 ÷ 3 - 6
4 • (3 + 7) - 2 • 4
3 + (2 + 3)2 - 7

17. 1.4 Order of Operation Evaluate the expression if x = 2, y = 4, and
z = 5
x + 2z - 5
x3 + 3x - 2
4 • (3x - y)2 + 5 • 4

18. 1.5 Equations and Inequalities
An equation is formed when an equal sign is placed between two expressions.
Equations that contain variables are open sentences.
Equations that do not contain variables are closed sentences.

19. 1.5 Equations and Inequalities
Check whether the numbers 3, 4, and 5 are solutions of the following equations.
3x - 5 = 7
4x = 5
3x + 7 = 2x + 12

20. 1.5 Equations and Inequalities
A solution of an inequality is a value of the variable that makes the inequality a true statement.
The solution set of an inequality is the set of all solutions.

21. 1.5 Equations and Inequalities
Order on Real-Number Line
a < b a is less than b
a < b a is less than or equal to b
a > b a is greater than b
a > b a is greater than or equal to b
a ≠b a is not equal to b

22. 1.5 Equations and Inequalities
Determine if x = 3 is a solution of each
inequality
3x - 1 < 5
2x - 3 > 5x + 2
4x + 9 > 3(x + 4)

23. 1.6 Models Addition Subtraction Multiplication Division Equals sum
difference
product
quotient is
plus
minus
times
divided by gives
added to
subtracted
multiply
into yields
more than
less than
twice
per same
increased
decreased by of
ratio
total
less
double

24. 1.6 Models Write each statement in mathematical terms
Twice the sum of 3 and a number is 4.
Three more than the square of a number is 6.
15 is 5 less than three times a number.
The square of a number increased by 6 is -4.

25. 1.7 Problem Solving 1. Read and understand the problem.
General Strategies for Problem Solving
1. Read and understand the problem.
Choose a variable
2. Translate the problem into an equation.
3. Solve the equation.
4. Interpret the results.(Check your answer)