__________________________________________
6th Grade Math
October 3, 2011
Many Minds. One Mission. 2021
Objective:
SWBAT review reading and writing algebraic expressions and equations.
Do Now:
1.
Simplify the expression below.
3 + 5 × 23 + 3 2
A
B
C
D
2.
Megan owes Carlos $12. She plans to pay him back $5. Which integer represents
Megan’s current debt, before paying Carlos $5?
A
B
C
D
3.
39
52
73
88
$-12
$-5
$5
$12
Simplify the expression below.
|7 + 32|+ 4
A
B
C
D
4.
-20
16
20
104
Which equation shows the identity property of addition?
A
B
C
D
6+0=6
6+1=6
6×0=6
6×1=6
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Class Notes: Reading and Writing Algebraic Expressions and Equations
Quick Review: Math Facts and Definitions!
Expressions are composed of __________________, coefficients, and
__________________________.
Equations have an __________________ sign, while expressions do not.
Guided Practice:
Determine if the phrase is an expression or an equation. Then, represent the
phrase as either an algebraic expression or equation.
Phrase – Written Language
Expression/Equation
1. Eight more than some number
2. Four times a number is 12
3. Two more than four times some number
4. Eight less than some number is 16
5. Five less than the product of two numbers
6. Half of some number is equal to 50
7. Seven less than three times some number
totals 65
8. Three more than the sum of 18 and some
number
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Multiple Choice Questions:
1) Which of the following expressions represents the phrase:
Seven less than three times a number
a)
b)
c)
d)
7n – 3
3 – 7n
3n – 7
7 – 3n
2) Which equation represents the statement below?
Three less than five times a number is twelve
A
B
C
D
3 – 5x = 12
5x – 3 = 12
5 (3 – x) = 12
5 (x – 3) = 12
3) Which equation represents the statement below?
Half of a number plus four is equal to 15
a) 2h + 4 = 15
b) 4h + 2 = 15
ℎ
c) + 4 = 15
d)
2
ℎ
4
+ 2 = 15
4) Marvin goes to the store and buys 3 more than half of the available
peaches, p. Which expression shows how many peaches Marvin bought?
a)
𝑝
2
+3
b) 3p +
c)
𝑝
3
1
2
+2
d) 2p + 3
3
Guided Practice:
1) When you join a fitness club (a gym), you need to pay an initial
membership service. Then, you pay a monthly fee. At the New York Sports
Club, you pay an initial membership service that costs $75. Then, you pay
$50 per month, m, that you are a member at a gym.
a) Write an expression for the cost of m months together with paying the
initial membership service.
Expression: ______________________________________
b) Draw a bar model to represent the expression above.
c) After a certain amount of months, you’ve spent a total of $325 on the
initial membership service and monthly payments.
Write an equation to demonstrate your total cost.
Equation: _______________________________________
d) Can you change the bar model above to represent the equation
above? If so, change the bar model to represent the equation.
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2) A carnival charges $5 for an admission ticket. You only pay this fee once
to enter. Then, they charge $4 per ride, r. You can go on as many ride as
you want.
a) Write an expression to show the cost of entering the carnival and going
on r amount of rides.
Expression: ______________________________________
b) Draw a bar model to represent the expression above.
c) You have $37 dollars. Write an equation that can show you how many
rides you can go on after you’ve paid for an admission ticket.
Equation: ______________________________________
d) Can you change the bar model above to represent the equation
above? If so, change the bar model to represent the equation.
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Check for Understanding:
3) Timothy’s lawn mowing company charges $9 per hour, h, plus an initial starting
fee of $5.
a) Write an expression showing the total cost of mowing a lawn if it takes h hours.
Expression: _________________________________
b) Draw a bar model to represent the expression above.
c) Timothy earned $24 after receiving the initial starting fee and working for h
hours.
Write an equation that can help Timothy find the amount of hours, h,
Timothy worked.
Equation: _________________________________
d) Change the bar model above to represent the equation you just wrote.
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Classwork:
Directions: Translate the following phrases into mathematical expression or equations. In
about 8 minutes, we will check our answers together.
1. The sum of a number and ten.
1. __________________________
2. The difference between 5 and a number.
2. __________________________
3. Six less than the product of a number and 7
3. __________________________
4. Eighteen more than a number.
4. __________________________
5. Five times a number is 75.
5. __________________________
6. A number divided by 14 equals 16.
6. __________________________
7. 5 more than a number.
7. __________________________
8. The sum of a number and 12 is 16.
8. __________________________
9. Sixteen less than twice a number.
9. __________________________
10. Two-thirds of a number.
10. __________________________
11. Five divided by a number is 5
11. __________________________
12. Six less than three times a number.
12. __________________________
13. The difference of a number and eight divided
by ten.
14. A number plus 3
13. __________________________
15. 10 times a number is equal to 60.
15. __________________________
16. Sixteen less than the sum of three and a
number.
17. A number is decreased by 9.
16. __________________________
18. Five more than the sum of a number and 7.
18. __________________________
19. The product of a number and three.
19. __________________________
20. Seven minus a number.
20. __________________________
14. __________________________
17. __________________________
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Mia ate five times as many apples as
bananas yesterday. If she ate b bananas,
write an expression for the number of apples
she ate
There are 7 fewer cheetahs than zebras. If you
have c cheetahs, write an expression for the
number of zebras you have.
Ms. Olsen is giving p pencils to 5 students to
share equally. Write an expression for how
many each student gets
Susie earns $9 per hour at her part-time job.
On Tuesday, she spent $5 that she earned on
lunch. She took home a total of $49 that day.
Marilyn bought a notebook for $7.95 and
some pens for $3.19 each. If n represents
the number of pens she bought, write an
expression that shows the amount of money
she spent on the notebook and pens.
Write an equation that matches this problem,
where h is the number of hours she worked
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1) Ms. Taylor babysat her neighbor’s daughter. She charges a flat $15, plus $8.50 per
hour.
a) Write an expression that represents how much money Ms. Taylor is paid for
babysitting, where h represents the number of hours she babysits.
b) How much will Ms. Hanford earn for babysitting for 3 hours?
c) Hot Tamale: How many hours did she babysit for if she made $61.75?
2) Ms. Marshall is going to the Georgia State Fair. It costs $4 to get in, and $2.25 for
each ride.
a) Write an expression for the amount she spends on the Georgia State Fair if he
goes on r rides.
b) She goes on 5 rides. How much money does she spend at the fair altogether?
c) Hot Tamale: How many rides can you afford if you have $15 to spend?
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