Exam 9: Equations, Inequalities, and Problem Solving

Solve. -You have taken up gardening for relaxation and have decided to fence in your new rectangular shaped masterpiece. The length of the garden is 2 meters and 46 meters of fencing is required to completely enclose it. What is the width of the garden?

Solve the inequality. - $- 8 x - 4 \leq - 2 ( 3 x + 11 )$

Solve the equation. -2(y + 3)= 3(y - 8)

Solve. -It takes 17 minutes to set up a candy making machine. Once the machine is set up, it produces 12 candies per minute. Use an inequality to find the number of candies that can be produced in 7 hours if the machine has not Yet been set up.

Solve the equation. -x - 1.2 = 20.5

Solve. Round to the nearest hundredth, if necessary. -What number is 85% of 111?

Solve the inequality. - $- 10 x + 1 \leq - 11 x - 6$

Solve the equation. -6n - 8 = 22

Write the algebraic expression described. -During a walk-a-thon, Rosilyn walked 9 fewer laps than June walked. If June walked b laps, how many laps did Rosilyn walk?

Substitute the given values into the formula and solve for the unknown variable. -P = 2L + 2W; P = 18, W = 6

Solve the equation. -5x - (4x - 1)= 2

Solve. -It took Sara's mother 4 hours round trip to drive to the University and bring Sara back home for spring break. If the University is 88 miles from home, find her mother's average speed.

Write the algebraic expression described. -Two numbers have a sum of 25. If one number is q, express the other number in terms of q.

Solve the equation. --8x + 5(3x - 6)= -21 - 2x

Solve. -Sales at a local ice cream shop went up 40% in 5 years. If 25,000 ice cream cones were sold in the current year, find the number of ice cream cones sold 5 years ago. (Round to the nearest integer, if necessary.)

Solve. Round answers to the nearest cent. -An automobile dealership recently reduced the price of a used sports car by 39%. If the price of the car was $ 43,000.00, find the discount.

Solve the inequality. - $- 6 < \frac { y } { 2 }$

Solve the equation. -4(x + 3)- (4x + 12)= 0

Write the algebraic expression described. -A 31-centimeter piece of rope is cut into two pieces. If one piece is z centimeters long, express the other length as an algebraic expression in z.

Write the algebraic expression described. -A quadrilateral is a four-sided figure whose angle sum is 360°. If one angle measures x°, a second angle measures 4x°, and a third angle measures 9x°, express the measure of the fourth angle in terms of x.