Topic 4: Generate Equivalent Expressions

Evaluate 4.7j – 6.8k when j = 5 and k = 3.

• -19.9

• 3.1

• 2.4

• -2.1

Evaluate 10.2x + 9.4y when x = 2 and y = 3.

• 95.88

• 17.9

• 0.8

• 48.6

Evaluate:  $3d-4$  when  $d=12$  

• 12

• 40

• 32

• 15

What is the value of  $8.4n+3.2p$  when  $n=2\ ,\ p=4$  

• 30

• 29.6

• 43.5

• 27.8

An expression is different from a mathematical equation because

• expressions only use addition and subtraction

• expressions do not have an equal sign

• expressions include variable, equations do not

• expressions only use multiplication and division

When expressions are equivalent, it means:

• they contain the same variable

• they can be added together

• they are different

• they are equal

What mathematical property can be used to generate equivalent expressions

• the Associative Property

• the Communicative Property

• the Distributive Property

Use the Distributive Property to find the equivalent expression:   $7\left(4x+5\right)$  

•  $28x+5$  

•  $28x+35$  

•  $4x+35$  

Use the Distributive Property to find the equivalent expression:  $2\left(11x-7\right)$  

•  $22x-14$  

•  $22x-7$  

•  $22x+14$  

•  $11x+7$  

Evaluate to find the equivalent expression:  $6\left(6x-3y+4\right)$  

•  $54xy+24$  

•  $36x-3y+4$  

•  $36x-18y+24$  

•  $36x-3y+24$