Objectives: Translate between words and algebra. Evaluate algebraic expressions.

A variable is a letter or a symbol used to represent a value that can change. A constant is a value that does not change. 2x ‘x’ is a variable ‘2’ is a constant

  + – Times, product, double, triple, PER, EACH, EVERY Plus, sum, increased by, combined, in all, total, all together Minus, difference, less than, fewer than, how many more? Times, product, double, triple, PER, EACH, EVERY Divided by, quotient, ratio of, fraction, percent, equal groups of

What other operation do we use in most math problems that we haven’t discussed??

Equals! = Two plus two ________ four. equals is The word “is” is used to represent the word “equals” in most math word problems.

Give three ways to write each algebra expression in words. 1. 9 + r 2. q – 3 the sum of 9 and r the difference of q and 3 9 increased by r 3 less than q 9 plus r q minus 3 3. 7m 4. j  6 the product of m & 7 the quotient of j and 6 m times 7 j divided by 6 7 multiplied by m j split into 6 equal groups

Give three ways to write each algebra expression in words. 6. 5. 4 - n 4 decreased by n the quotient of t and 5 n less than 4 t divided by 5 4 minus n t split into 5 equal groups 7. 9 + q 8. 3(h) the sum of 9 and q the product of 3 and h q added to 9 3 times h q more than 9 3 multiplied by h

2a = 14, where a = Johnny’s age Write an algebraic expression or equation for the word problem. 9. John types 62 words per minute. 62 · m or 62m, where m = min 10. Two times Johnny’s age is 14. 2a = 14, where a = Johnny’s age 11. Elaine earns $32 per day. 32d or 32·d, where d = days

m ÷ 6 or m 6 y represents Emily’s age. y + 4 Write an algebraic expression or equation for the word problem. 12. Roberto is 4 years older than Emily, who is y years old. y represents Emily’s age. y + 4 13. What is m split into 6 equal groups? m ÷ 6 or m 6

To evaluate an expression is to find its value. EVALUATE MEANS PLUG IN!!!!!! Every time you plug in you should use parenthesis! EVERY TIME!!!

= (7) – (2) = 5 = (4)(2) = 8 13. b – c when a = 4, b =7, and c = 2. Evaluate each expression. 13. b – c when a = 4, b =7, and c = 2. = (7) – (2) = 5 14. ac when a = 4, b =7, and c = 2. = (4)(2) = 8

= (-3)(2) = -6 = (-9)2 –(2) = 79 = (-9) ÷ (-3) = 3 when: m = -3, n = 2, and p = - 9 15. mn when: m = -3, n = 2, and p = - 9 = (-3)(2) = -6 16. p2 – n when: m = -3, n = 2, and p = - 9 = (-9)2 –(2) = 79 17. p ÷ m when: m = -3, n = 2, and p = - 9 = (-9) ÷ (-3) = 3

Objectives: Classify numbers Simplify fractions Evaluate square roots

= 7 40 = 1 100 = _1_ 4

= _1_ 5 = _8_ 9 = _1_ 3

Square Roots The radical symbol , is used to represent square roots. Positive real numbers have two square roots. For example:

Finding square roots on your calculator

1. 3. 2. 4. 7.4, and -7.4 17, and -17 Non-real number 20, and -20 Find the square roots of each given number. If needed – round to the nearest tenth. 1. 3. 7.4, and -7.4 17, and -17 2. 4. Non-real number 20, and -20

Natural Numbers – Where you NATURALLY start counting Natural Numbers – Where you NATURALLY start counting. Whole Numbers – 0, 1, 2, 3, 4, …. Integers – Positives & Negatives Rational Numbers – CAN be a fraction Irrational Numbers – CANNOT be a fraction

7. 5. 6. 8. Classify the following numbers: Integer, rational, real Natural, whole, integer, rational, real Irrational, real