Math 40 test 4 Review
1.
Express the given ratio as a fraction reduced to lowest terms:
a) 6 : 8
2
4
c) 3 3 ∶ 2 9
b) 0.36 : 0.6
2. One automobile travels 234.2 miles on 10.8 gallons of gasoline. A second automobile travels
270.5 miles on 12.6 gallons of gasoline. Which automobile gets the better gas mileage?
Gas mileage of car one:
Gas mileage of car two:
Which automobile gets the better gas mileage?
3. Determine whether the proportion is true.
25
33
=
2
3
4. Solve the proportion.
a)
𝑥
3
=
35
7
b)
2𝑥+9
9
=
13
3
1
5. If 13 ounces of tea costs $2.79, how much would you expect to pay for 16 ounces of tea?
6. a) Change 2.9 yards to inches.
b) Change 216 pints to gallons.
c) Change 70 ounces to pounds.
7. a) Change 7.5 liters to milliliters.
b) Change 9,750 centigrams to kilograms.
c) Change 3427 centimeters to meters.
2
8. a) Convert 58 inches to centimeters.
Round your answer to the nearest tenth of a centimeter.
b) Convert 19.4 kilograms to pounds.
Round your answer to the nearest pound.
c) Convert 63 kilometers per hour to miles per hour.
Round your answer to the nearest mile per hour.
9. Fill in the boxes, round to the nearest tenth or tenth of a percent. (no work is needed)
decimal
fraction
percent
28%
a)
7/15
b)
3%
c)
3.55
d)
10. Solve each problem by solving a percent equation or proportion.
No equation= No credit.
3
a) 5 is what percent of 25?
b) 4 is 3% of what number?
1
c) What number is 55 3 % of 60?
11. Raven answered 135 of 150 possible questions on the meteorology examination correctly. What percent
of the total number of questions did Raven mark correctly?
12. A state charges 6.5% sales tax on all sales. If the sales tax on a bed is $33, find the sales price of the
bed, correct to the nearest dollar.
13. The force of gravity on Mars is only 38% of the force of gravity on earth. If you weigh 150 pounds on
earth, how much will you weigh on Mars?
4
14. A car rack is marked at $500. However, a sign in the shop indicates that the car rack is being discounted
at 15%. What will be the new selling price of the car rack? Round to the nearest penny.
15. Regulations in California have caused factroy famers to move out of state. Idaho's industrial dairy went
from 180,000 cows in 1990 to 530,000 cows in 2009. What is the percent increase for Idaho industrial dairy
cows, rounded to the nearest percent?
16. A secretary is granted a 2.85 %salary increase. If the secretary's current salary is $3,600 per month, find
the secretary's new monthly salary, rounded to the nearest dollar.
17. Fancy Chip company advertises their chips as having 35% less fat than Doritos. If one ounce of Doritos
has 7 grams of fat, then how much fat does Fancy chip company have?
5
18. I  Prt . A student borrows $2,000 from an educational fund to pay for the spring semester. If the loan is
for 7 months at 12% annual simple interest, then what is the simple interest, and how much will the student
owe at the end of the semester?
19. Identify the coordinates of point P.
10
𝑦
𝑥
10
20. Which of the points (1,-2), (3,-1), (0,-10), and (7,21) is a solution of the equation
𝑦 = −2𝑥 + 5?
6
21. The points A(-4,-2), B(1,-2), C(1,1), and D(-4,1) are vertices of a rectangle. Plot these points,
draw the rectangle ABCD, then compute the perimeter of the rectangle ABCD.
22.
a)
Graph the equation.
y  3x  2
x y
b)
y
1
x4
2
x y
7