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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 tomatoes at $2.99 per pound”
What is $2.99p
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
Shay designs games on his computer for 58 min (c= 58). Shay’s friend Bob spends half the amount of time designing games on his computer than Mel does. Write an algebraic expression to represent this, and solve for the value.
What is 52/2 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
Garth is giving 10 of the action figures from his collection to his brother. If a represents the number of action figures Garth has, write an expression that shows how many action figures Garth will have left?
What is a - 10
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 Mel will spend 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 Andrew?
What is Andrew is 16 and Carmen is 8