Chapter P Review

Simplify . Your answer should contain only positive exponents.  $\frac{a^2b^0}{3a^4}$  

•  $1$  

•  $\frac{1}{3a^2}$  

•  $\frac{a^2}{3a^4}$  

•  $\frac{1}{3a^4}$  

Simplify using exponent rules.

• 32x³y⁴

• 32x⁹y¹³

• 16x⁸y¹²

• 16x⁶y⁷

Which statement is correct?

• 1⁰ = 1

• 0¹ = 1

• 1⁰ = 0

• 0⁰ = 1

Solve:

2x² + 5x ≥ 12

• [-4, 1.5]

• (−∞, -4) U (1.5, ∞)

• (−∞, -4] U [1.5, ∞)

• no solution

Solve the quadratic inequality:

 $x^2-49\ge0$  

•  $x\le-7\ ,\ \ x\ge7$  

•  $x\le0\ ,\ \ x\ge7$  

•  $-7\le x\le7$  

•  $-7\le x\le0$  

Solve the quadratic inequality:

 $x^2+9x+18<0$  

•  $x<-6\ ,\ \ x>-3$  

•  $-6<x<-3$  

•  $x<3\ ,\ \ x>6$  

•  $3<x<6$  

Solve.
|y - 4| ≥ 8

• y ≤ -4 or y ≥ 12
• -4 ≤ y ≤ -12
• y ≤ 4 or y ≥ -12
• -12 ≤ x ≤ 4

Solve.
|c + 4| < 5

• x < -9 or x > 1
• -9 < x < 1
• x < 9 or x > -1
• -1 < x < 9

The height of an object thrown into the air can be modeled by the formula h(t) = -16t² + 70t + 95, where h(t) is in feet after t seconds.

What is the height of the object after 5 seconds?

• 95 feet

• 45 feet

• 70 feet

• 171.56 feet

A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function

h = -16t² + 64t + 960.

What is the maximum height?

• 960 feet

• 1008 feet

• 1024 feet

• 1152 feet