Homework: Variables and Expressions



Name_________________ Date___________

Homework- 6.EE.2c

I can substitute specific values for variables.

1) Evaluate each expression if a = 3, b = 6, c = 5, and d = 9. Show your work

Steps:

1. Copy the expression.

2. Substitute the value in for the variable.

3. Evaluate using the order of operations.

a) [pic] b) [pic] c) [pic]

d) [pic] e) [pic] f) [pic]

g) [pic] h) [pic]

2) Lina tried to evaluate the expression below if x = 4 and y = 9. Study her work and identify her

mistake. Evaluate the expression correctly.

10x – 3y + 7x

10(4) – 3(9) + 7

3) In order to encourage recycling, the city is offering 10 cents for every pound of n, newspapers collected,

30 cents per pound for c, cans and 20 cents per pound for g, glass bottles or jars.

a. Write an algebraic expression for the total amount earned from recycling.

b. If Chen brings in eleven pounds of newspapers, eight pounds of cans, and two pounds

of glass bottles, how much will he receive?

4) The formula to calculate the area of a triangle is [pic] or [pic] . Find the area of each triangle by using the steps you learned in class today. (They are located at the top of the assignment.)

Review Section

5) Write an algebraic expression for each written expression.

a) thirty-one increased by a number

b) the difference of a number and nine

c) the sum of seven, four, and a number

d) the quotient of eighty-one and y

e) four more than the product of a number and eight

Name_________________ Date___________

Answer Key

1) Evaluate each expression if a = 3, b = 6 , c = 5 , and d = 9. Show your work

Steps:

1. Copy the expression.

2. Substitute the value in for the variable.

3. Evaluate using the order of operations.

a) [pic] b) [pic] c) [pic]

d) [pic] e) [pic] f) [pic]

g) [pic] h) [pic]

2) Lina tried to evaluate the expression below if x = 4 and y = 9. Study her work and identify her mistake. Evaluate the expression correctly.

10x – 3y + 7x

10(4) – 3(9) + 7

3) In order to encourage recycling, the city is offering 10 cents for every pound of n, newspapers collected, 30 cents per pound for c, cans and 20 cents per pound for g, glass bottles or jars.

a. Write an algebraic expression for the total amount earned from recycling.

b. If Chen brings in eleven pounds of newspapers, eight pounds of cans, and two pounds

of glass, how much will he receive?

4) The formula to calculate the area of a triangle is [pic] or [pic] . Find the area of each triangle by using the steps you learn in class today. (They are located at the top of the assignment.)

Review section

5) Write an algebraic expression for each written expression.

a) thirty-one increased by a number

b) the difference of a number and nine

c) the sum of seven, four, and a number

d) the quotient of eighty-one and y

e) four more than the product of a number and eight

-----------------------

40 – 27 + 7

13 + 7

20

h = [pic] in

b = [pic] in

h = 10 ft

b = 8 ft

15

15

14

28

4

3

7

2.4

THE MISTAKE IS THAT LINA DID NOT SUBSTITUTE 3 INTO X IN 7X.

CORRECTLY EVALUATED IS 40.

40 – 27 + 7

13 + 7

20

10n+30c +20g

10(11) +30(8) +20(2)

110+240+40

$390

h = 10 ft

b = 8 ft

h = [pic] in

b = [pic] in

1/10 sq in

40 sq ft.

7 + 4 + n

31 + n

x – 9

[pic]

8n + 4

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