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

2. 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

3.   + – 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

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

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

6. Give three ways to write each algebra expression in words.
r 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 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

7. Give three ways to write each algebra expression in words.6. 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 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

8. 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

9. 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

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

11. = (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

12. = (-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

13. Objectives:
Classify numbers
Simplify fractions
Evaluate square roots

15. = 7 40
= 1
100
= _1_ 4

17. = _1_ 5
= _8_ 9
= _1_ 3

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

20. Finding square roots on your calculator

21. 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

23. 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

24. 7. 5. 6. 8. Classify the following numbers: Integer, rational, real
Natural, whole, integer, rational, real
Irrational, real