MAT081 Sample Final Exam The following questions appeared on a MAT081 Final Exam here at SCCC in the recent past. If you do not think you could answer 75% or more of these correctly, you might want to enroll in MAT081 before attempting MAT084. (1) Simplify: (2) Subtract: 1)____ 2)____ (3) Solve for x : 3)____ (4) Add: 4)____ (5) Divide: 5)____ (6) 6)____ (7) Simplify: 7)____ (8) 8)____ (9) 9)____ (10) 10)____ (11) 11)____ (12) Add: 12)____ (13) Solve for n: 13)____ (14) Simplify: 14)____ (15) Add: 15)____ (16) Simplify: 16)____ (17) 17)____ (18) 18)____ (19) Solve for x : 19)____ (20) Simplify: 20)____ (21) Simplify: 3(3x − 2 y ) + 2 x − 4 y Ans 21:____________________ (22) Find the unknown number, n: 2 1 9 2 = n 3 4 Ans 22:____________________ (23) Simplify: 3 + 2(8 − 4) − ( −8) Ans 23:____________________ (24) 5 3 Subtract: 28 −19 6 8 Ans 24:____________________ (25) Find the area of the figure, which is not to scale. Include proper units for credit. Ans 25:____________________ 28in 18in 40in (26) A circular table has a radius of 5 feet. What is it’s area? Use 3.14 as an approximation of π. Include proper units. Ans 26:____________________ (27) Evaluate 4u − 5v 2 when u = 7 and v = −3. Ans 27:____________________ (28) Solve for x : x + 6 = 4(2 x − 1) Ans 28:____________________ (29) The circulation of a newsletter decreased from 3700 to 3145. What was the percent decrease in circulation? Ans 29:____________________ (30) The total cost of a garden tractor priced at $1714.99 is $1831.03. What is the sales tax rate? Round to the nearest tenth of a percent. Ans 30:____________________ (31) A lot is 45 meters by 38 meters. A swimming pool 8 meters by 6 meters is placed on the lot. How much area is left over on the lot after the pool is installed? Include proper units. Ans 31:____________________ (32) A rectangular play yard is 29ft by 26 ft. Grass is going to be installed in the yard at a cost of $2.75 per square foot. How much will it cost to install grass on this play yard? Ans 32:____________________ (33) Suppose a television set’s regular price is $645. If it’s on sale for 20% off, how much will you pay for it if the tax rate is 8%? Round to the nearest penny. Ans 33:____________________ (34) Simplify completely: 7 − 3(2 − 5) 2 − 32 Ans 34:____________________ (35) In a recent survey of computer manufacturers, 54 preferred E−Machines, 162 preferred HP, and 234 preferred Gateway. What percent preferred Gateway? Ans 35:____________________ (36) Suppose you have purchased 315 yards of material for $3 per yard to make banners. Each banner you make 1 takes 2 yards of material. If you can sell each banner 4 for $20 each, how much profit would you make on all the banners you can make? Ans 36:____________________ (37) Property valued at $125,000 is assessed for tax 2 purposes at of its assessed value. If the property tax 5 rate is $1.50 per every $100 of assessed value, what is the tax for this property? Ans 37:____________________ (38) A rectangular garden is 8 feet wide and 12 feet long. It is surrounded by a stone walkway that is 2 feet wide all the way around the edge. What is the total length of fence needed to surround the outer walkway? Ans 38:____________________ (39) Evaluate 3x − 2 y2 when x = −3 and y = 4. x+ y (40) Solve for x : 2 x − 3 = 21 Ans 39:____________________ Ans 40:____________________
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