Review of Section 1 Write as an algebraic expression Five more than 8 times a number

Evaluate when x = 10 2) 7 + 5x

Write in interval notation and graph 3) {x| -1 < x ≤ 4}

Write in set-builder notation and graph 4) [-2, 5)

Operations with Read Numbers and Simplifying Algebraic Expressions Chapter 1 Section 2 Operations with Read Numbers and Simplifying Algebraic Expressions

Absolute Value |a| Distance from 0 to a on the number line. Positive value Evaluate | -4 | | 3.5| - | -2 |

Addition (+) + (+) = (+) ( - ) + ( - ) = ( - ) (+) + ( - ) = sign of larger value subtract to get the number

Addition Examples 4 + 2 = 6 - 4 + (-3) = - 7 - 4 + 5 = 1 - 4 + 3 = -1

Try -12 + (-14) 2 + (- 9) - 9 + 3 4 + 6

Subtract Use the definition of subtraction Add the opposite of the second number Meaning, change the subtraction sign to addition and take the opposite of the second number

Subtraction 7 – 10 Change the – sign to addition and take the opposite of 10 so 7 + (- 10) -7 – 10 Same as above: - 7 + (- 10)

Example - 7 – (- 10) Change the subtraction sign to addition and take the opposite of – 10 - 7 + 10

Work the following 4a) -12 + (-14) 5) 5 + (-2) 6) 6 – 13 7) 5.1 – (-4.2)

Multiplication, Division ( + ) ( + ) = ( + ) • ( - ) ( - ) = ( + ) ( + ) ( - ) = ( - ) •

Multiplication, Division Like signs, answer is positive Unlike signs, answer is negative + + -

Give the sign(+, -) of the answer -3 + (-8) -7 + 4 3 – 15 8 – (-10) - 4 – 5 9(-10) 7) (-3)(-11) 8) (-4)(-2)(5) 9) 10) 11)

Answers - + 7) + 8) – 9) – 10) – 11) -

Evaluate 7) 7(-5) 8) (-6)(- 4) 9) -2(-3)(-5) 10) 11) 12) 13)

Order of Operations 14) 15)

Distributive Property -2(3x + 5) distribute the -2 5(4x – 3) distribute the 5 4(7x – 3) – 10x distribute the 4 and simplify

Answers - 6x – 10 20x – 15 18x + 12

Distributive Property Simplify 5(4x – 3) 4(7x – 3) – 10x

Similar Terms Similar terms Same variable, same exponent 4x, 3x 4 pears, 3 pears 2 apple pies, 6 apple pies Another example

Combine Similar Terms 4 apples + 3 apples 3 pears + 2 apples + 6 oranges + 2 pears 3 bags in which each bag has 4 bananas and 3 oranges. Can you represent this another way?

Combining Like Terms 7x + 5x 8y – 3y 3x – 2y + 5x + 7y

Answers 12 x 5y 8x + 5y

Try 7x + 5x 5(3y – 3) – (6y + 2)

Vocabulary Absolute Value Opposites Order of Operations Similar terms