I NTRODUCTION TO P RE -A LGEBRA 1 st 9 Weeks
W ARM UP – D AY (3) ∙ (9) (1.4) (2.9) - 5
S TANDARD 3 Use order of operations to evaluate and simplify algebraic expressions. Applying the substitution principle Applying the properties of operations on rational numbers to evaluate and simplify algebraic expressions.
V OCABULARY 1. Variable 2. Coefficient 3. Term (in an expression) 4. Constant 5. Inequality 6. Base (in numeration) 7. Exponent 8. Algebraic expression
I. E VALUATE EACH EXPRESSION FOR THE GIVEN VALUE OF THE VARIABLE. A. x – 5 for x = 12 B. 2y + 1 for y = 4 C. 6(n + 2) – 4 for n = 5, 6, and 7
II. E VALUATE EACH EXPRESSION FOR THE GIVEN VALUES OF THE VARIABLES. 1. 4x + 3y for x = 2 and y = r – 2p for r = 3 and p = 5 3. If t = 7, solve the following problems. t – t 21/t 3t – t - 4
4. Let a = 4, b = -2, c = 5 and d = 10. Solve the problems. 4a + 2c 3bc – d d – 2a
W RITE ABOUT IT 1. Compare these expressions 2x + 9 and 5(3+8). How are they different? 2. What does “7y” mean?
H OMEWORK : C OPY THESE IN YOUR NOTEBOOK I. In the following problems, t = 7. Solve the problems. 1. 9t ÷ t + 5t 3. 5t II. In the following problems a = 4, b = -2, c = 5 and d= abd 9. 5c – ad 10.
W ARM UP – D AY 2 Evaluate each expression for the given values of the variables. 1. 9y – 13 for y = n + 2p for n = 2 and p = x – y for x = 1 and y = 2 4. Find a pair of numbers that fits the description. Their product is 221 and their sum is 30.
C HECK H OMEWORK …. 1. 9(From p. 6)15. 4 gal gal gal gal (From p. 7) 56. Yes, when x= both expressions have a value of Score: Out of 10 points
W RITING ALGEBRAIC EXPRESSIONS Addition add increased more **more than plus sum total Subtraction decreased difference less **less than left lower than minus Multiplication double half product times triple twice Division divide into, by or among quotient Also: are/is – means “equal”
I. W RITE AN ALGEBRAIC EXPRESSION FOR EACH WORD PHRASE. A. The product of 8 and a number n B. 9 less than a number w C. 3 increased by the difference of p and 5 D. 24 decreased by the product of 6 and q
E. 2 more than y F. 2 divided into y G. 2 less than y H. twice y I. the quotient of y and 2 J. y increased by 2 K. 2 less y L. the product of 2 and y
II. W RITE AN EXPRESSION FOR THE WORD PROBLEM. 1. Jared worked for h hours at the pay rate of $5 each hour. Write an expression to determine how much money Jared earned. 2. How much money will he earn if he works a total of 18 hours? 3. Ron bought two comic books on sale. Each comic book was discounted $1 off the regular price r. Write an expression to find what Ron paid before taxes. If each comic book was regularly $2.50, what was the total cost before taxes?