Generate Equivalent Expressions

4-1

100

Evaluate the expression 3d - 4 when d = 2.5

3.5

200

Evaluate the expression 0.5f - 2.3g when f = 12 and g= 2

1.4

300

Milly started with $219 in her bank account. She deposits $89 each week and never withdraws any money. What expression can Milly use to determine her account balance after w weeks?

219 + 89w               or

89w + 219

400

Downtown Surf Shop charges $50 per person for a surfing lesson and $80 to go parasaling. If 10 people go surfing and 4 people go parasailing, how much will Downtown Surf Shop make in sales? 

$820

500

The expression .68a + .25b can be used to find the total cost of a apples and b bananas. How much will it cost to buy 5 apples and 7 bananas?

$5.15

4-2

100

Write an equivalent expression to -3(7 + 5g)

-21 -15g

200

(x + 7) + 3y

x + (7 + 3y) associative property

3y + 7 + x commutative property

300

Write an equivalent expression to 0.2 - .75x

-.75x + 0.2 Commutative Property

400

The distance in feel that Kim swims in a race is represented by 4d - 4, where d is the distance for each lap. Write an expression equivalent to 4d - 4.

4 ( d - 1) distributive property

-4 + 4d Commutative property

500

Write an expression equivalent to -4n + 3 +9n -4

5n -1 

-1 + 5n

-4n + 9n +3 -4

4-3

100

Simplify the expression

-3f + 9f - 8 -2

6f -10

-10 + 6f

200

Simplify the expression

3.2 - 5.1n -3n + 5

-8.1n + 8.2

8.2 - 8.2n

300

Which expression is equivalent to 

-5v + (-2) + 1 + (-2v)

A. -9v                    B. -4v

C. -7v - 1               D. -7v + 3

C. -7v - 1

400

Which expression is equivalent to

2/3 x + (-3) + (-2) - 1/3 x

A. x + 5                     B. -1/3 x - 5

C. 1/3 x - 1                D. 1/3 x - 5

B. -1/3 x - 5

500

Simplify the expression

8h + (-7.3d) - 14 + 5d - 3.2h

4.8h - 2.3d - 14

4-4

100

Expand  x(4 - 2y)

4x - 2xy

200

Expand -1/5 ( 10 - 25x)

-2 + 5x

300

Write the expanded for of 

6(y + x)

6y + 6x

400

Use the distributive property to expand 7(7x - 3y) - 6

49x - 21y - 6

500

Use the distributive property to write an expression equivalent to y(-3 - 8x)

-3y - 8xy

4-5

100

Show two different ways to factor 

-9x - 27

9 ( -x - 3)

-9 (x + 3)

200

Write an equivalent expression for 6x - 18 -12y using a negative factor

-6 ( x + 3 + 2y)

300

What is the GCF of 18a and 4

2

400

Use the GCF to write the factored form of the expression 16x + 24y

16: 1,2,4,8,16

24: 1,2,3,4,6,8,12,24

So;

8 ( 2x + 3y)

500

Write an expression that is the product of two factors and is equivalent to -4x - 22

2 (-2x - 11)

-2 (2x +11)