Algebra Review Unit 1

. Which expression is equivalent to

(4x² – 7x + 6) + (9x -11 – 3x²) ?

• x⁴ + 2x² + 5

• x²+ 2x + 5

• x⁴ + 2x² – 5

• x² + 2x – 5

Which expression is equivalent to

-2x² – 7x – (7x – 4) + (-7x² + 6x + 1)?

• 5 – 10x

• -3x² – 8x + 5

• -3x²– 8x - 5

• -9x² – 8x + 5

Answer explanation

remember when a negative sign is in front of parentheses...everything inside the parentheses changes to the opposite sign

Which expression is equivalent to

(x² + 3x + 9) (x – 3)?

• x³ + 27

• x³ + 6x² + 18x – 27

• x³ – 6x² – 18x – 27

• x³ – 27

Answer explanation

Use Box Method

Which expression is equivalent to

210d² – 63d ?

• 21d(10d – 3)

• 21d(10d + 3)

• 21(10d + 3)

• 21(10d – 3)

Which function is equivalent to

g(x) = x² + 3x – 28 ?

• (x – 7) (x + 4)

• (x – 4) (x + 7)

• (x + 14) (x – 2)

• (x + 2) (x – 14)

Which function is equivalent to

g(x) = 3x² + 7x – 20 ?

• (3x + 5) (x – 4)

• (3x – 5) (x + 4)

• (3x – 4) (x + 5)

• (3x + 4) (x – 5)

Which expression is a factor of

4x² – 9 ? (more than one answer)

• x + 3

• x - 3

• 2x + 3

• 2x - 3

Which expression is equivalent to √392 ?

• 7√2

• 4√98

• 14√2

• 4√8

The expression (x⁴)(x^-6) is equivalent to xⁿ What is the value of n?

• 2x²

• x²

• x^-2

• 2x^-2

Answer explanation

When we multiply exponents, we really.....

Which expression is equivalent to

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Answer explanation

When we divide exponents, we really.....