Exam 2: Equations and Inequalities

Solve the problem. -Find the height of a moving box if its length is 31 in., its width is 29 in., and its surface area is 3358 in2. Assume that the surface area includes the top of the moving box.

Use these equations to convert between the two systems. $C = \frac { 5 } { 9 } ( F - 32 ) \quad F = \frac { 9 } { 5 } C + 32$ Round answer to the nearest tenth of a degree if necessary. - $F = 350 ^ { \circ }$

Solve the inequality. Write the solution set in interval notation. - $| 2 x - 9 | \leq - 2$

Decide what values of the variable cannot possibly be solutions for the equation. - $\frac { x } { x - 2 } + \frac { 11 x } { 7 x + 7 } = 0$

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set. - $- 9 x + 47 + 3 ( 3 x - 14 ) = 0$

Decide what values of the variable cannot possibly be solutions for the equation. - $( - 3 + 9 x ) ^ { 1 / 3 } + ( 10 + 2 x ) ^ { 1 / 3 } = 0$

Solve the equation by completing the square. - $x ^ { 2 } + 12 x = - 32$

Solve the equation by the square root property. - $( x - 4 ) ^ { 2 } = 4$

Decide what values of the variable cannot possibly be solutions for the equation. - $\sqrt [ 4 ] { x - 5 } + 4 = 0$

Decide what values of the variable cannot possibly be solutions for the equation. - $\sqrt { x + 7 } + 5 = x$

Solve the equation by the square root property. - $( 8 x + 9 ) ^ { 2 } = 4$

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set. - $24 ( x - 3 ) = 2 ( 12 x - 5 ) - 62$

Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are rational, irrational, or nonreal complex. - $6 + 4 z ^ { 2 } = - 8 z$

Solve the equation by completing the square. - $3 x ^ { 2 } - 7 x = 1$

Decide what values of the variable cannot possibly be solutions for the equation. - $25 x ^ { 4 } - 61 x ^ { 2 } + 36 = 0$

Solve the problem. -Don James wants to invest $63,000 to earn $1288 per year. He can invest in B-rated bonds paying 2.6% per year or in a Certificate of Deposit (CD) paying 1.6% per year. How much money should be Invested in each to realize exactly $1288 in interest per year?

Solve the inequality. Write the solution set in interval notation. - $| 7 - x | \leq 5$

Answer the question -If a rectangle is x feet long and y feet wide, which one of the following expressions is the length of its diagonal in terms of x and y?

Solve for y. -Sophia borrowed $11,790 at 6% simple interest for 4 months. How much will the interest amount to? What is the total amount that she will have to pay back at the end of 4 months? Round answers To the nearest cent if necessary.

Identify the number as real, complex, pure imaginary, or nonreal complex. More than one of these descriptions may apply. --1