Download presentation

Presentation is loading. Please wait.

Published byAlejandro Malloy Modified over 2 years ago

1
Divide. Evaluate power. 27 3 2 2 – 3 = 27 9 2 – 3 EXAMPLE 1 27 9 2 – 3 = 3 2 – 3 3 2 – 3 = 6 – 3 Multiply. Evaluate expressions Multiply and divide from left to right. STEP 3 Evaluate the expression 27 3 2 2 3. – There are no grouping symbols, so go to Step 2. STEP 1 Evaluate powers. STEP 2

2
STEP 4 Add and subtract from left to right. 6 – 3 = 3 EXAMPLE 1 Subtract. ANSWER The value of the expression 27 3 2 2 – 3 is 3. Evaluate expressions

3
GUIDED PRACTICE for Example 1 1. Evaluate the expression 20 – 4 2 ANSWER 1. 4 2. Evaluate the expression 2 3 2 + 4 ANSWER 2. 22 3. Evaluate the expression 32 2 3 + 6 ANSWER 3. 10

4
GUIDED PRACTICE for Example 1 4. Evaluate the expression 15 + 6 2 – 4 ANSWER 4. 47

5
24 – (9 + 1) = 2[9] EXAMPLE 2 Evaluate expressions with grouping symbols Evaluate the expression. a. 7(13 – 8) = = 35 Subtract within parentheses. Multiply. b.b. 24 – (3 2 + 1) = Evaluate power. =24 – 10 Add within parentheses. = 14 Subtract. c. 2[30 – (8 + 13)] = Add within parentheses. Subtract within brackets. = 18 Multiply. 7(5) 2[30 – 21]

6
EXAMPLE 3 Evaluate an algebraic expression Evaluate the expression when x = 4. 9x 3(x + 2) Substitute 4 for x. Add within parentheses. 18 36 = Multiply. =2 Divide. = 3(4 + 2) 9 4 3 6 9 4 =

7
GUIDED PRACTICE for Examples 2 and 3 Evaluate the expression. 5. 4(3 + 9) = 48 6.6. 3(8 – 2 2 ) = 12 7. 2[( 9 + 3) 4 ] = 6

8
GUIDED PRACTICE for Examples 2 and 3 Evaluate the expression when y = 8. = 61 y 2 – 38. = 3 12 – y – 19. = 9 10y + 1 y + 1 10.

9
Standardized Test Practice EXAMPLE 4

10
Standardized Test Practice EXAMPLE 4 SOLUTION Substitute 1.25 for j and 2 for s. = 12(3.75 + 4) + 30 Multiply within parentheses. = 93 + 30 Multiply. = 123 Add. The sponsor’s cost is $123.The correct answer is B.. AB C D ANSWER = 12(7.75) + 30 Add within parentheses. = 12(3 1.25 + 2 2) + 30 12(3j +2s) + 30

11
EXAMPLE 1 Translate verbal phrases into expressions Verbal Phrase Expression a. 4 less than the quantity 6 times a number n b. 3 times the sum of 7 and a number y c. The difference of 22 and the square of a number m 6n – 4 3(7 + y) 22 – m 2

12
GUIDED PRACTICE for Example 1 1. Translate the phrase “the quotient when the quantity 10 plus a number x is divided by 2 ” into an expression. ANSWER 1. Expression 10 + x 2

13
SOLUTION Cutting A Ribbon EXAMPLE 2 Write an expression A piece of ribbon l feet long is cut from a ribbon 8 feet long. Write an expression for the length (in feet) of the remaining piece. Draw a diagram and use a specific case to help you write the expression. Suppose the piece cut is 2 feet long. Suppose the piece cut is L feet long. The remaining piece is ( 8 – 2 ) feet long. The remaining piece is ( 8 – l ) feet long.

14
EXAMPLE 2 Write an expression ANSWER The expression 8 – l represents the length (in feet) of the remaining piece.

15
Write a verbal model. SOLUTION You work with 5 other people at an ice cream stand. All the workers put their tips into a jar and share the amount in the jar equally at the end of the day. Write an expression for each person’s share (in dollars) of the tips. Tips EXAMPLE 3 Use a verbal model to write an expression Translate the verbal model into an algebraic expression. Let a represent the amount (in dollars) in the jar. STEP 1 STEP 2 Amount in jar Number of people a 6

16
EXAMPLE 3 Use a verbal model to write an expression ANSWER An expression that represents each person’s share (in dollars) is. a 6

17
GUIDED PRACTICE for Examples 2 and 3 WHAT IF? In Example 2, suppose that you cut the original ribbon into p pieces of equal length. Write an expression that represents the length (in feet) of each piece. ANSWER l p

18
GUIDED PRACTICE for Examples 2 and 3 WHAT IF? In Example 3, suppose that each of the 6 workers contributes an equal amount for an after- work celebration. Write an expression that represents the total amount (in dollars) contributed. ANSWER 6d, where d represents the amount contributed by each worker.

19
EXAMPLE 4 Find a unit rate A car travels 120 miles in 2 hours. Find the unit rate in feet per second. The unit rate is 88 feet per second. ANSWER

20
SOLUTION EXAMPLE 5 Solve a multi-step problem Training For a training program, each day you run a given distance and then walk to cool down. One day you run 2 miles and then walk for 20 minutes at a rate of 0.1 mile per 100 seconds. What total distance do you cover? STEP 1 Convert your walking rate to miles per minute.

21
EXAMPLE 5 Solve a multi-step problem Use unit analysis to check that the expression 2 + 0.06m is reasonable. Because the units are miles, the expression is reasonable. STEP 2 Write a verbal model and then an expression. Let m be the number of minutes you walk.

22
EXAMPLE 5 Solve a multi-step problem Evaluate the expression when m = 20. 2 + 0.06(20) = 3.2 ANSWER You cover a total distance of 3.2 miles. STEP 3

Similar presentations

OK

Chapter 1. Chapter 1.1 Variables Age Activity Start with your age Step 1: Add 5 to the age Step 2: Multiply the result of Step 1 by 2 Step 3: Subtract.

Chapter 1. Chapter 1.1 Variables Age Activity Start with your age Step 1: Add 5 to the age Step 2: Multiply the result of Step 1 by 2 Step 3: Subtract.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on different types of computer languages Ppt on obesity management services Ppt on marketing management Ppt on carbon and its compound download Ppt on acid-base indicators and pka Ppt on south african culture videos Ppt on what is critical whiteness theory Free ppt on uses of plants Ppt on landing gear system for trailers Ppt on ntfs file system