4th Quarter Review #3 7th Grade Math 1) Smith’s Video Store charged $2.40 for each video rented plus a $1.00 surcharge. The store decided to lower the surcharge to $0.50. Which equation represents the new cost of renting m videos? a). P 1.90m 1.00 b). P 1.90m 0.50 c). P 2.40m 0.50 d). P 2.40m 1.50 6) 1 1 4 6 3 4 2) Change 2 into a 9 decimal. 1 of a bucket of 3 1 sand covers of a 9 playground, then how much sand is needed for the entire playground? 3) If Name: _________________ 4) Anthony repairs bicycles. 5) Write and solve an equation to He charges $5.00 for each find x. Then find the measure of bicycle plus $10.00 for each each angle. hour (h) of work required to repair it. The formula i 5 10h represents Anthony’s income (i) for each bicycle repair. Anthony’s income for repairing Steve’s bicycle was $75.00. How many hours did he work on Steve’s bicycle? mPOS = __________ mSOR = __________ mROQ = __________ 7) Simplify: 2( x 5) 3(2 x 3) 8) A computer that originally cost $720 is on sale at 20% off. There is a tax of 5% that is charged after the discount. Including the discount and tax, what is the price of the computer? 9) A sticker has a diameter of 5 inches. Find the radius, area, and circumference of the sticker. Radius: ___________ Area: ____________ Circumference: _______ 10) Brian wants to put this picture in the school newspaper in a space that is 5 inches tall. If he enlarges the picture proportionally so that it is 5 inches tall, how wide will it be? 1 2 in. 2 1 1 in. 4 11) Find the volume of the cube. 12) Charlene has eight more dollars than Megan. Together they have $86.00. Which equation can be used to determine the amount of money, m, Megan has? a). b). c). d). 13) Simplify: 10a 2 4a 3a 2 11a m (m 8) 86 m(m 8) 86 m 8m 86 m m(8m) 86 14) The formula to convert temperature in degrees Celsius to Fahrenheit is F 1.8C 32. If the temperature outside is 3 o C , what is the temperature in o F ? 15) Triangle ABC is similar to DEF. Find the value of x. 19) On a tree farm, 15% of the trees planted are 20) The rectangle below was enlarged by a scale factor of 2 to form a new rectangle. V = ______________ 16) A bank reports these changes in interest rates over the course of 4 days: 1 7 2 8 , , , , what is 9 9 9 9 17) Katie’s swimming pool has an area of 450 m 2 . If the length of the pool is 30 m, what is the perimeter of the pool? the average daily change? 18) Solve and graph. 3w 3 18 pine, 2 are oak, 1 are 5 4 1 maple, and are fruit 5 trees. Of these four types of trees, which type has been planted the most? x 30 Perimeter = _________ 6 10 a). Find the perimeter of the new rectangle. Perimeter = __________ b). Find the area of the new rectangle. Area = ______________