Exam 2: Solving Equations and Inequalities

Solve the problem. -Jennifer's annual salary increased from $28,000 to $49,000 over the last five years. Find the percent increase in her salary during this time period. Round to the nearest tenth of a percent.

Solve. -The area of Mark's backyard is about 3 times the area of Jon's backyard. The area of Mark's backyard is 2010 $\mathrm { ft } ^ { 2 }$ What is the area of Jon's backyard?

Solve using the multiplication principle. -8a = -56

Solve. - $\mathrm { F } = \frac { 9 } { 5 } \mathrm { C } + 32 \text { for } \mathrm { C }$

Solve the equation using the addition principle. -b - 8 = -6

Solve the equation using the addition principle. - $\mathrm { m } - \frac { 2 } { 5 } = \frac { 1 } { 2 }$

Solve. Clear fractions first. - $x + \frac { 7 } { 3 } + \frac { 1 } { 8 } x = \frac { 7 } { 2 } + \frac { 3 } { 4 } x$

Solve the problem. -A pie-shaped (triangular)lake-front lot has a perimeter of 2200 feet. One side is 200 feet longer than the shortest side, while the third side is 500 feet longer than the shortest side. Find the lengths of all three sides.

Solve. -3x - 9 = 75 - 9x

Solve the problem. -Brand X copier has improved its copier so that it produces 20% more copies than its old model. If the old model ran 662 copies per hour, how many copies would the new model run? Round your answer to the nearest whole Number.

Solve. Clear decimals first. - $11.2 q + 1.4 = - 77.8 - 1.3 q$

Solve the problem. -Jennifer's annual salary was $25,000 last year and increased 32% this year. Find Jennifer's current annual salary.

Solve. --7n - 3 = 39

Graph the inequality. - $x \leq 5$

Solve using the multiplication principle. --x = -9

Solve. -9.4x - 14.7x = -79.5

Solve. - $3 [ 3 - 3 ( x + 1 ) ] + 1 = 2 ( - 23 - x ) + 2 x + 23$

Graph the inequality. - $x \geq 7$

Solve using the addition principle. Graph and write set-builder notation for the answer. - $a - 10 < - 12$

Solve. -8x + 5 = 6x + 17