Grade 6 Expressions and Equations: Expression Cards

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Grade 6 Expressions and Equations:

Interpreting Algebraic Expressions Expression Cards

E1

(𝒏 + 𝟔)

𝟐

E2

𝟑𝒏𝟐

E3

𝟐𝒏 + 𝟏𝟐

E4

𝟐𝒏 + 𝟔

E5

𝟐(𝒏 + 𝟑)

E6

𝒏

𝟐+ 𝟔

E7

(𝟑𝒏)𝟐

E8

(𝒏 + 𝟔)𝟐

E9

𝒏𝟐 + 𝟏𝟐𝒏 + 𝟑𝟔

E10

3+n

2



E11

𝒏𝟐 + 𝟔

E12

𝒏𝟐 + 𝟔𝟐

Expression Card

Expression Card

Expression Card

Expression Card

Expression Card

Expression Card




Interpreting Algebraic Expressions Word Cards

W1

Multiply n by two

then add six.

W2

Multiply n by

three then

square the answer.

W3

Add six to n

then multiply by

two.

W4

Add six to n

then divide by

two.

W5

Add three to n

then multiply by

two.

W6

Add six to n

then square the

answer.



W7

Multiply n by two

then add twelve.

W8

Divide n by two then add six.

W9

Square n then

add six.

W10

Square n then

multiply by

nine.

Word Card

Word Card



Word Card

Word Card

Word Card

Word Card




Interpreting Algebraic Expressions Table Cards

T1

n 1 2 3 4

Ans `14 16 18 20

T2

n 1 2 3 4

Ans 81 144

T3

n 1 2 3 4

Ans 10 15 22

T4

n 1 2 3 4

Ans 3 27 48

T5

n 1 2 3 4

Ans 81 100

T6

n 1 2 3 4

Ans 10 12 14

T7

n 1 2 3 4

Ans 4 5

T8

n 1 2 3 4

Ans 6.5 7 7.5 8

Table Card

n 1 2 3 4

Ans

Table Card

n 1 2 3 4

Ans



Table Card

n 1 2 3 4

Ans

Table Card

n 1 2 3 4

Ans

Table Card

n 1 2 3 4

Ans

Table Card

n 1 2 3 4

Ans




Interpreting Algebraic Expressions Area Cards

A1

A2

A3

A4

A5

A6

A7

A8

Area Card

Area Card



Area Card

Area Card

Area Card

Area Card

Grade 6 Expressions and Equations Relational Thinking

True or False:

471 – 382 = 474 – 385

674 – 389 = 664 – 379

583 – 529 = 83 – 29

37 x 54 = 38 x 53

5 x 84 = 10 x 42

64 ÷ 14 = 32 ÷ 28

42 ÷ 16 = 84 ÷ 32

What is the value of variable?

73 + 56 = 71 + d

67 – 49 = c – 46

234 + 578 = 234 + 576 + d

94 + 87 – 38 = 94 +85 – 39 + f

92 – 57 = 94 – 56 + g

68 + 58 = 57 + 69 – b

56 – 23 = 59 – 25 – s

Grade 6 Expressions and Equations Equations and Statements

Align the equations to the statements. If a statement or equation does not have a match, create the appropriate statement or equation so that every card has at least one match.

Equations

a = the number of apples bought b = the number of bananas bought

x = the cost of an apple in dollars y = the cost of a banana in dollars

y = 2x b = 2a

a = 𝑏

2

y = 𝑥

2

x = 2y ax = 5

ax + by = 5

b + a = 5

x = 𝑦

2

b = 2

Statements

I bought twice as many bananas as apples.

The apples I bought cost $5.

Altogether I bought 5 apples and bananas.

I paid $5 for all the apples and bananas I bought.

Bananas cost twice as much as apples.

Bananas cost $2.

Apples and bananas cost the same.

Apples cost half as much as bananas.

Grade 6 Expressions and Equations Solving Equations by Strip Diagram

Solve the following problems using the Strip Diagram Method. Consider a variety of ways to set-up the algebraic equation to satisfy the solving of the problem.

1. There are 50 children in a dance group. If there are 10 more boys than girls, how many girls

are there?

2. Ann has three times as much money as Brenda. Brenda has $200 less than Carol. Carol has

$50 more than Ann. Find the total amount of money that Ann, Brenda, and Carol have.

3. The ratio of Sam’s money to Mel’s money was 4:1. After Sam spent $26, Sam had $2 less than Mel. How much money did Sam have at first?

4. John is four times as old as his son. If their total age 10 years ago was 60, find their present ages.

5. A box contains a total of 200 blue, yellow, and orange beads. Twice the number of blue

beads is 10 more than the number of yellow beads. There are 50 more yellow beads than orange beads. How many blue beads are there in the box?

Grade 6 Expressions and Equations Solving Equations Using Cover up Method

1. 3(𝑥 − 10) = 15

2. 3(𝑥 + 10) = 15

3. 3 + 𝑥

10= 15

4. 18

𝑥+ 12 = 15

5. 34 − 2𝑥+ 6

2= 4

6. 34 − 2𝑥+6

2= −4

7. 21 = 12 + 3𝑥

8

8. 12 = 21 + 3𝑥

8

9. 5 + 𝑥

6= 17

10. 5 + 6

𝑥 = 17

11. 5 − 𝑥

6= 17

12. 5 − 6

𝑥 = 17

13. 3 = 12

𝑥+1

14. 3 = 𝑥+1

12

15. 3 = 12

𝑥+7

16. 3 = 𝑥+7

12

Grade 6 Expressions and Equations: Expression Cards

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