NAME:__________________________________
REVIEW RATIOS PROPORTIONS
REVIEW VOCABULARY:
MONOMIAL: _________________________________________________________________
BINOMIAL: ____________________________________________________________________
TRINOMIAL: __________________________________________________________________
DETERMINE IF THE GIVEN PAIR OF RATIOS ARE PROPORTIONAL:
2.
1.
3.
Solve for x:
4.
5.
6.
7.
8.
9.
10.
11.
12. THE WIDTH OF A SMALL RECTANGLE IS 4, WHILE THE LENGTH IS 15. THE WIDTH OF A LARGER RECTANGLE IS
16 AND THE LENGTH OF THE LENGTH IS 60. ARE THESE RECTANGLES PROPORTIONAL?
13. JOE SAYS HIS TEAM WINS 5 OUT OF EVERY 8 GAMES. IF HIS TEAM HAS 22 WINS AND 40 LOSSES, IS HIS
STATEMENT CORRECT?
1
14. SARA IS ASKED IF THE FRACTIONS
ARE PROPORTIONAL.
HOW SHOULD SARA ANSWER?
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15. KRISTIN IS COMPARING THE AREA OF TWO RECTANGLES. SHE KNOWS THE AREA OF THE FIRST RECTANGLE IS
3, AND THE AREA OF THE SECOND CAN BE EXPRESSED AS
. IF THE RATIO OF THE FIRST RECTANGLE TO
THE SECOND IS
FIND .
16. COLLEEN TAKES 4 HOURS TO READ 280 PAGES. AT THIS RATE, HOW MANY PAGES CAN SHE READ IN 5 HOURS?
17. A HORSE IS STANDING NEAR THE STABLE. THE HORSE IS 55 INCHES TALL. HIS SHADOW IS 6 FEET LONG. THE
SHADOW OF THE STABLE IS 9 FEET LONG. HOW TALL IS THE STABLE?
18. BRIAN IS 4 ½ FEET TALL. AT A CERTAIN TIME OF DAY, HE MEASURES HER SHADOW, AND FINDS IT IS 15 FEET
LONG. HE ALSO MEASURES THE SHADOW OF A BUILDING WHICH 30 FEET LONG. HOW TALL IS THE BUILDING?
19. ON A MAP 3 CENTIMETERS = 10 MILES. HOW MANY CENTIMETERS ON THE MAP WOULD REPRESENT 70 MILES?
20. TOMMY DECIDES TO GO RUNNING FOR 1 HOUR. HE RUNS
KILOMETERS IN THE FIRST
REMAINS CONSTANT, HOW FAR DOES HE RUN IN THE REMAINING
OF THIS RUN.
HOUR. IF HIS RATE
2
21. A) TARGET IS ADVERTISING A DEAL; THE ADVERTISEMENT SAYS “BUY 4 DVDS FOR $24.64!” WHAT IS THE
UNIT PRICE OF A DVD AT TARGET?
B)
WALMART ALSO HAS A DEAL FOR DVDS. THE ADVERTISEMENT AT WALMART SAYS “BUY 5 DVDS FOR
$27.50!” WHICH STORE HAS THE LOWER UNIT PRICE?
22. THE CURRENT EXCHANGE RATE FOR US DOLLARS TO EUROS IS 1 US = 0.7797 EUROS.
[A]
HOW MANY EUROS COULD BE EXCHANGED FOR $60 US?
[B]
HOW MANY US DOLLARS COULD BE EXCHANGED FOR 120 EUROS?
23. SUZY CAN RUN
24. CARA PURCHASED
MILES IN
HOURS.
HOW MANY MILES PER HOUR CAN SHE RUN?
YARDS OF FABRIC FOR $20.
WHAT WAS THE COST PER FOOT? (1 YARD = 3 FEET)
3
25. THE AVERAGE SPEED OF ONE TEAM IN A RELAY RACE IS ABOUT 8 MILES PER HOUR. WHAT IS THIS SPEED IN
FEET PER SECOND?
26. WATER WEIGHS ABOUT 8.34 POUNDS PER GALLON. ABOUT HOW MANY OUNCES PER GALLON IS THE WEIGHT
OF WATER?
MIXED REVIEW:
SIMPLIFY:
27a) 8x – 9x + 10
Solve for x:
28a)
10 – 5x < 30
b) -2(5x – 8) + 2x
b)
3(x – 8) = 27
c) -5(3x – 2)
c)
5x – 8 = 3x + 20
Evaluate if x = -2 and y = 5
29a) x + y
b) y – x
c)
4