RATIOS, RATES, and PROPORTIONS
SOUND TRAVELS APPROXIMATELY 2,200 FEET EVERY 2 SECONDS AT SEA LEVEL. APPROXIMATELY HOW MANY FEET WILL SOUND TRAVEL A SEA LEVEL IN 37 SECONDS?
A. 314
B. 40,700
C. 81,400
D. 162,800
B. 40,700
A STEEL COMPANY USES METRIC TONS AND SHORT TONS TO WEIGH ITS PRODUCTS. A SHORT TON WEIGHS APPROXIMATELY 9% LESS THAN A METRIC TON. IF ONE STEEL SHIPMENT WEIGHS 43 SHORT TONS, WHAT IS THE WEIGHT OF THAT SHIPMENT IN METRIC TONS?
A. 3.87 METRIC TONS
B. 34 METRIC TONS
C. 39.13 METRIC TONS
D. 40.23 METRIC TONS
C. 39.13 METRIC TONS
IF 4/(y+3)=h AND h=2 , WHAT IS THE VALUE OF y?
A. -1
B. 0
C. 1
D. 2
A. -1
3^(x/2)=27, x=
A. 1.5
B. 3
C. 4.5
D. 6
D. 6
A, B, and C are points on a line, and B is the midpoint of bar(AC) . IF AB = 15, THEN AC =
A. 60
B. 30
C. 15
D. 10
B. 30
IF y YARDS AND 55 INCHES IS EQUAL TO 595 INCHES, WHAT IS THE VALUE OF y?
15
A LANDSCAPER ADDS A 9% FUEL SURCHARGE TO A CUSTOMER'S BILL. IF THE NORMAL FUEL CHARGE WAS $26, WHAT WAS THE COST OF FUEL AFTER THE SURCHARGE WAS ADDED?
A. $23.66
B. $28.34
C. $28.60
D. $35.00
B. $28.34
WHAT IS s-9 if 4s-6=34?
A. -1
B. 1
C. 7
D. 10
B. 1
WHICH OF THE FOLLOWING IS EQUAL TO b^(4/5) FOR ALL VALUES OF b?
A. sqrt(b^4
B. sqrt(b^5
C. root(4)(b^5
D. root(5)(b^4
D.
root(5)(b^4
THE EQUATION OF A LINE IS y=2/3x-6. WHAT IS THE EQUATION OF A LINE PERPENDICULAR TO THIS LINE AND WITH THE SAME y-INTERCEPT?
A. y=2/3x+6
B. y=2/3x-1/6
C. y=3/2x-6
D. y=-3/2x-6
D. y=-3/2x-6
DURING THE CIVIL WAR, BLOCKADE RUNNERS SAILED THE 28 MILES FROM FORT FISHER TO WILMINGTON, NORTH CAROLINA, UP THE CAPE FEAR RIVER. TODAY, A MODERN OUTBOARD MOTOR BOAT CAN TRAVEL THAT DISTANCE IN 30 MINUTES. ON AVERAGE, WHAT WOULD BE THE SPEED IN MILES PER HOUR OF AN OUTBOARD MOTOR BOAT AS IT TRAVELS THIS DISTANCE?
56
THE PRODUCT OF TWO NUMBERS IS 1,452. ONE OF THE NUMBERS IS 200% LARGER THAN THE OTHER NUMBER. WHAT IS THE SUM OF THE NUMBERS?
A. 22
B. 66
C. 88
D. 363
C. 88
IF 5x SUBTRACTED FROM 12 IS 6 LESS THAN 13, WHAT IS THE VALUE OF x?
A. -1
B. 0
C. 1
D. 2
C. 1
IF sqrt(p)+sqrt(16)=sqrt(81) , WHAT IS THE VALUE OF p?
A. 2
B. 5
C. 9
D. 25
D. 25
-3x-4y=8
WHICH OF THE FOLLOWING EQUATIONS IS PARALLEL TO THE EQUATION ABOVE?
A. -3x-4y=12
B. 2x-8y=8
C. 4x+y=3
D. x+y=3/4
A.
IF (3a)/b=1/2 , what is the value of b/a ?
A. 1/6
B. 1/3
C. sqrt6
D. 6
D. 6
AFTER THE ADDITION OF 10% SALES TAX, ADA PAID $44.00 FOR HER NEW JACKET. WHAT WAS THE PRICE OF THE JACKET BEFORE TAX?
A. $34.00
B. $40.00
C. $48.40
D. $48.80
B. $40.00
IF a-b=4 AND b/2=12 , HOW MUCH IS a+b?
A. 24
B. 28
C. 48
D. 52
D. 52
IF c^(d/5)=25 FOR POSITIVE INTEGERS c AND d, WHAT IS ONE POSSIBLE VALUE OF d?
A. 0
B. 10
C. 27
D. 40
B. 10
IF 2/3x+3/4y=6 IS GRAPHED IN THE xy-PLANE, WHAT WOULD BE THE x-COORDINATE OF THE x-INTERCEPT?
9
AT THE BEGINNING OF REGISTRATION, 40 FRESHMAN STUDENTS ENROLLED IN STATS 101, WHILE 50 SOPHOMORE STUDENTS ENROLLED IN THE COURSE. IF 22 MORE SOPHOMORE STUDENTS ENROLL BEFORE THE END OF REGISTRATION, HOW MANY MORE FRESHMAN STUDENTS MUST ENROLL SO THAT 2/5 OF THE STUDENTS ARE FRESHMEN?
A. 5
B. 8
C. 16
D. 24
B. 8
HOW MANY LITERS OF A PUNCH THAT IS 10% PINEAPPLE JUICE MUST BE ADDED TO 6 LITERS OF A PUNCH THAT IS 20% ORANGE JUICE TO OBTAIN A PUNCH THAT IS 15% JUICE? ASSUME THAT NO OTHER TYPES OF JUICE ARE PART OF THE PUNCH.
A. 2
B. 4
C. 6
D. 12
C. 6
A COMPUTER PROGRAMMER USES THE FORMULA p=9wh TO DETERMINE THE NUMBER OF PIXELS, p, IN A PICTURE THAT IS w INCHES WIDE AND h INCHES HIGH, AT HIS PREFERRED GRAPHIC RESOLUTION. WHICH OF THE FOLLOWING IS A VALID WAY TO EXPRESS h?
A. h=9pw
B. h=9/(pw)
C. h=p/(9w)
D. h=w/(9p)
C.
h=p/(9w)
sqrt(4n^2+13)-y=0
IF n > 0 AND y = 7 IN THE EQUATION ABOVE, WHAT IS THE VALUE OF n?
A. 2
B. 3
C. 4
D. 5
B. 3
A LINE IN THE COORDINATE PLANE PASSES THROUGH QUADRANTS III AND IV ONLY. WHICH OF THE FOLLOWING IS THE BEST DESCRIPTION OF THE SLOPE OF THE LINE?
A. THE SLOPE IS POSITIVE.
B. THE SLOPE IS NEGATIVE.
C. THE SLOPE IS 0.
D. THE SLOPE IS UNDEFINED.
C. THE SLOPE IS 0.