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# Worksheet: Rewriting Expressions

Q1:

Completely factor .

• A
• B
• C
• D
• E

Q2:

Factor the expression .

• A
• B
• C
• D
• E

Q3:

Factor .

• A
• B
• C
• D
• E

Q4:

Is the equation an identity?

• A No
• B Yes

Q5:

Answer the following questions for the brackets .

Expand the brackets .

• A
• B
• C
• D
• E

Is the identity true?

• Ayes
• Bno

Q6:

Factor the expression .

• A
• B
• C
• D
• E

Q7:

Is the equation an identity?

• A No
• B Yes

Q8:

Is the equation an identity?

• A Yes
• B No

Q9:

Completely factor .

• A
• B
• C
• D
• E

Q10:

Expand and simplify .

• A
• B
• C
• D

Q11:

Completely factor .

• A
• B
• C
• D
• E

Q12:

Completely factor .

• A
• B
• C
• D
• E

Q13:

Write two equivalent expressions for the area of the following figure.

• A ,
• B ,
• C ,
• D ,
• E ,

Q14:

An identity is an equation that is true for all values of its variables.

For example, is an identity because it will be true for all values of and .

Expand and simplify .

• A
• B
• C
• D
• E

Factor .

• A
• B
• C
• D
• E

Is the equation an identity?

• Ano
• Byes

Substitute and into the identity to generate a Pythagorean triple.

• A
• B
• C
• D
• E

Q15:

Factor .

• A
• B
• C
• D
• E

Q16:

Express the following using symbols: The product of 4 and 16 plus 11.

• A
• B
• C
• D
• E

Q17:

Four friends had a snack together at a cafe. They each ordered a piece of cake for \$4.75 and a coffee for \$3.50. Which expression represents the total cost of their order?

• A5(\$8.25)
• B4(\$7.25)
• C5(\$7.25)
• D4(\$8.25)
• E4(\$1.25)