Exam 2: Solving Equations and Inequalities

Solve the problem. -At the end of the day, a storekeeper had $1456 in the cash register, counting both the sale of goods and the sales tax of 4%. Find the amount that is the tax. Round to the nearest dollar if necessary.

Translate the sentence to an inequality. -The height of a member of the basketball team is at least 81 inches.

Determine whether the given number is a solution of the inequality. - $x > 13 , - 13$

Solve the problem. -A shop keeper is making a triangular sign for his store front, but he must keep the sign under 20 ft2 to adhere to zoning laws. If the base of the sign is 16 ft, what is the maximum height of the triangular sign?

Provide an appropriate response. -What value of K makes this equation equivalent to x = 5? 5x + 12x - 2 = K + 4

Solve the equation using the addition principle. -20 = -12 + a

Solve using the multiplication principle. - $- 7 x < \frac { 1 } { 6 }$

Solve the equation using the addition principle. -m + 2 = 7

Provide an appropriate response. -What value of K makes this equation equivalent to x = 3? $\frac { 9 } { K + x } = 3$

Solve the problem. Round to the nearest tenth of a percent. -939 is what percent of 1810?

Solve the problem. -During one year, the Green's real estate bill included $315 for city services. The fire department received 23% of that amount. How much money went to the fire department?

Solve using the multiplication principle. --4s = -60

Solve. - $4 ( 15 x - 20 ) = 5 ( 16 x - 12 )$

Graph the inequality. - $- 5 < x < - 1$

Solve. -A 209-foot rope is cut into three pieces. The second piece is twice as long as the first. The third piece is 4 times as long as the second. How long is each piece of rope?

Translate the sentence to an inequality. -A number is greater than -2.

Solve. -4(x + 6)- (4x + 24)= 0

Solve. -5x + 3 = -22

Graph the inequality. - $3 \leq x < 7$

Determine whether the given number is a solution of the inequality. - $x > 8 , - 14$