Exam 8: Quadratic Equations, Functions, and Inequalities

Solve: $x ^ { 2 } + x - 30 \geq 0$

Use the square root property to solve the equation. $( s - 7 ) ^ { 2 } = 9$

Use the square root property to solve the equation. $q ^ { 2 } = - 4$

Solve $x ^ { 2 } + 28 = 0$ by the square root property.

The _________ form of a quadratic equation is $a x ^ { 2 } + b x + c = 0$ .

A fireworks shell is shot straight up with an initial velocity of 152 feet per second. Its height s feet after t seconds is given by the equation $s = 152 t - 16 t ^ { 2 }$ . If the shell is designed to explode when it reaches its maximum height, how long after being fired, and at what height, will the fireworks appear in the sky? Please give the first answer to two decimal places and the second answer as the whole number. t = __________ sec s = __________ ft

Solve the equation. $- x ^ { 2 } + 6 x = 2$

Solve by square root property: $2 x ^ { 2 } = 144$

Suppose a rectangular movie screen has an area of 11,136 square feet. Find the dimensions of the screen if it is 20 feet longer than it is wide. __________ ft by __________ ft

Graph: $y \geq | x - 3 |$

Why cannot you not solve the rational inequality $\frac { 7 } { x } < 7$ by multiplying boths sides by x to clear the inequality of fractions?

Solve the equation. $- x ^ { 2 } - 6 x - 4 = 0$

Solve the equation. Approximate the solutions to two decimal places. $4 x ^ { 2 } - x = 8$

Use the square root property to solve the equation. $z ^ { 2 } - 27 = 0$

Solve the equation. $5 x ^ { 2 } + 10 x = 4$

Use the square root property to solve the equation. $7 x ^ { 2 } - 25 = 0$

Let $f ( x ) = ( 4 x - 5 ) ^ { 2 }$ . For what value(s) of x is $f ( x ) = 1$ ?

Solve the inequality. Write the solution set in interval notation and graph it. $\log _ { 5 } 3$

Solve the inequality. Write the solution set in interval notation and graph it. $\log _ { 5 } 3$

Simplify the following. $\frac { - 15 \pm 5 \sqrt { 7 } } { 10 }$