Exam 2: Solving Equations and Inequalities

Solve the problem. -DG's Plumbing and Heating charges $50 plus $75 per hour for emergency service. Bill remembers being billed just over $450 for an emergency call. How long to the nearest hour was the plumber at Bill's house?

Solve. - $a + b = s + r$ for $s$

Determine whether the given number is a solution of the inequality. - $x > - 12,5.7$

Solve using the multiplication principle. - $\frac { x } { 6 } = 25$

Solve the equation using the addition principle. - $x - \frac { 11 } { 18 } = - \frac { 1 } { 2 }$

Solve. -3x - 7 + 5x - 3 = 5x + 3x + 10

Solve the problem. -If Gloria received a 7 percent raise and is now making $23,540 a year, what was her salary before the raise? Round to the nearest dollar if necessary.

Solve. -You are traveling to your aunt's house that is 282 miles away. If you are currently twice as far from home as you are from your aunt's, how far have you traveled?

Solve the problem. -The color guard is making new triangular flags that must have a base of 18 inches to fit on their flagpoles. What is the maximum length of the triangular flags, if they want to use a maximum of 297 in.2 of cloth?

Solve the problem. -One side of a rectangle is 16 inches and the other side is x inches. What values of x will make the perimeter at least 48?

Solve using the multiplication principle. --43.7y = 699.2

Solve the equation using the addition principle. -9 = a + 2

Solve the problem. -On Monday, an investor bought 100 shares of stock. On Tuesday, the value of the shares went up 2%. How much did the investor pay for the 100 shares if he sold them Wednesday morning for $1479? Round to the Nearest dollar if necessary.

Solve. --15 = -3x + 6

Solve the problem. -If the formula R = -0.037t + 50.1 can be used to predict the world record in the 400-meter dash t years after 1925, for what years will the world records be 48.1 seconds or less?

Solve. --4a + 4 + 5a = 6 - 27

Determine whether the given number is a solution of the inequality. - $x \geq - 7 , - 10.72$

Decide if the given number is a solution to the given equation. - $\frac { x } { 5 } = 9 ; 45$

Solve. Clear fractions first. - $x + \frac { 1 } { 4 } x = 25$

Solve the problem. -Company A rents copiers for a monthly charge of $240 plus 12 cents per copy. Company B rents copiers for a monthly charge of $480 plus 6 cents per copy. What is the number of copies above which Company A's charges Are the higher of the two?