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Algebraic Expressions
Order of Operations
Extending Tables
Variables
Problem Solving
100

48 times the number of markers g

What is 48g

100

What is the first step in evaluating the expression below? 12 + 6 – 4 ÷ (2 + 5)

What is 2 + 5

100
Rule A: Start with 47. Subtract 3. Rule B: Start with 59. Subtract 3.
Rule B is always 12 greater than Rule A
100

Write an expression that represents the phrase “the cost of p pounds of oranges at $1.50 per pound”

What is $1.05p

100

Kerry has 12 paperweights in her collection. She has twice as many glass paperweights as metal, and 3 are wood? how many of each type does she have?

What is 3 metal, 6 glass, 3 wood

200

a number of eggs (e) divided by 12

What is e/12

200

4 + ( 8 x 6 ) ÷ 2 + 3

What is 31

200

Rule A: Start with 9. Add 4. Rule B: Start with 22. Add 4.

What is Rule B is always 13 greater than Rule A

200

Five less cards than Steve owns

What is c - 5

200
Brian has a model collection of cars, trains, and fire engines. He has 28 cars. The number of fire engines is 2 times the number of trains. He has 67 models in all. How many of each type of model does he have?
What is 28 cars, 13 trains, 26 fire engines
300

A puzzle cost p less than a magazine. The magazine cost $5. How much is the puzzle?

What is $5-p

300

(18-3) ÷ 5 + 4

What is 7

300

Rule A: Start with 6. Multiply by 2. Rule B: Start with 18. Multiply by 2.

What is Rule B is always 3 times greater than Rule A

300

The evergreen is twice as tall as the hosta. The hosta is h inches tall. How tall is the evergreen?

What is 2h

300
The Busy Bee Quilters made 42 quilts. There are 13 purple quilts. There are 5 more blue quilts than red quilts. How many of each color quilt are they donating?
What is 13 purple quilts, 17 blue quilts, 12 red quilts
400

22 less forks than the number f

What is f - 22

400

[(5.5 + 2.3) - 2.1] + 2.3 ________________

What is 8

400

Rule A: Start with 64. Divide by 2. Rule B: Start with 256. Divide by 2.

What is Rule B is always 4 times as much as Rule A

400

Kim designs games on his computer for 58 min (c= 58). Kim's friend Bob spends half the amount of time designing games on his computer than Kim does. Write an algebraic expression to represent this, and solve for the value.

What is 58/2 which = 29 minutes

400
Max’s neighborhood covers three streets and has 32 houses in it. There are 14 houses on Elm Street. Maple Street has five times as many houses as Oak Place. How many houses are on Maple Street?
What is 15 houses on Maple and 3 on Oak
500

Todd is giving 8 of the stamps from his collection to his brother. If a represents the number of stamps Todd has, write an expression that shows how many stamps Todd will have left?

What is a - 8

500

19. Which of the following is equal to 13? 

a. 3 + (9 ÷ 4) + 2 x 5

 b. 3 + 9 ÷ (4 – 2) x 5 

c. (3 + 9) ÷ (4 + 2) x 5

 d. (3 + 9) ÷ 4 + 2 x 5

What is d

500

Writing to Explain:

 Sammy is counting the number of wings on the bees in his uncle’s beekeeping hive. Sammy makes a rule to help him: Start with 0. Add 2 for each bee. What rule could he use for counting the legs? Remember that bees have 6 legs. How are the corresponding terms in these sequences related?

The number of legs is always 3 times the number of wings.

500

Write an algebraic expression to represent the time

 Courtney will spend time 9 weeks designing games on his computer. In 9 weeks, the variable c represents the number of minutes. (Remember: there are 7 days in 1 week.)

63c

500
The total age of Diana, Carmen, and Andrew is 45. Diana is 21, and Andrew is twice as old as Carmen. How old is Carmen and Andrew?
What is Andrew is 16 and Carmen is 8