Algebra II Diagnostic 21-22

Simplify the following expression:

(x⁵)⁴

• x⁹

• x²⁰

• x

• x⁵⁴

According to exponent rules, when we raise a power to a power we _______ the exponents.

• add
• subtract
• multiply
• divide

(x +2)(x + 3)

• x² + 5x + 6
• x² + x + 6
• x² + 5x + 5
• x² + 6x + 6

(x + 5)(x + 4)

• x² + x + 20
• x² + 20x + 9
• x² + 9x + 20
• x² - 9x + 54

Quotient Rule: For LIKE BASES, keep the base the same and __________exponents.

• multiply

• add

• subtract

• divide

Simplify this expression using the quotient rule.

• 9⁵

• 9⁹

• 1⁵

• 9^-5

Solve:
7x - 3x - 8 = 24

• 8
• -8
• 3.2
• 4

Solve:
3(x - 2) = 18

• 6.7
• 4
• 8
• -4

Which is the standard form for a quadratic equation?

• $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

• $ax^2+bx+c=0$

• $y=a\left(x-h\right)^2+k$

• $a^2+b^2=c^2$

Which is in the proper factored form to use the Zero Product Property ?

• $x^2-x=12$

• $x\left(x-1\right)=12$

• $\left(x-4\right)\left(x+3\right)=1$

• $\left(x-4\right)\left(x+3\right)=0$