WORKSHEET 4 MATHEMATICS PLACEMENT TEST SUPPORT
1. Is a solution of ?
2. Find the ordered pair solution of corresponding to .
3. Is a solution of the system ?
4. Find the ordered pair solution of
5. Find the ordered pair solution of
6. Find the x- and y-intercepts of . Write these as ordered pairs.
7. Find the x- and y-intercepts of . Write these as ordered pairs.
8. Find the slope of the line containing the points and .
9. Find the equation of the line containing points and .
10. Find the equation of the line with slope containing the point .
11. Find the equation of the line with slope containing the point .
12. Solve the inequality .
13. Solve the inequality .
14. Find the value of when .
15. If then
x / 1 / 2 / 3 / 4 / 5y / 5 / 7 / 9 / 11 / 13
16. Which of the following represent the data in the table?
A. B. C.
D. E.
17. If a number is increased by 18% of itself, express, in terms of , the new number that is formed?
18. The number is 6 more than the product of 3 and . Write an equation that relates the value of and .
19. Worker A earns dollars per hour, worker B earns twice as much per hour as A, and worker C earns 2 dollars more per hour than A. Worker D’s hourly wage is equal to the sum of B’s and C’s. Which expresses worker D’s hourly wage in dollars?
A. B C. D. E.
WORKSHEET 4page 2
20. The cost C, in dollars, to order picture frames is given by the formula, where is a constant equal to 8. How much does it cost to order 5 of these picture frames?
21. On a 50 question English test, Martha got 70% of the 30 vocabulary questions correct and 65% of the 20 sentence structure questions correct. What percentage of the 50 total questions did she get correct?
22. A large water jug is filled with water that weighs 14 lbs. After of the water is poured out, the jug and the remaining water together weigh 8.5 lbs. What is the weight in lbs. of the jug?
23. The rates charged by a taxicab company are $0.50 for the first mile and $0.35 for each additional mile. What is the cost, excluding tip, of a taxi trip that is 3 miles long?
24. If then
25. A pre-election poll showed that 2 out of every 5 voters will vote in the election. At this rate, how many people can be expected to vote in a city of 25,000?
26. A recipe calls for cup of diced onions. What part of a cup of onions should be used if Sarah is going to make of this recipe?
27. In a certain state, Plan A is to have license plates with 2 letters followed by 4 digits. Under plan A, there are possible license plates. Plan B calls for 3 letters followed by 3 digits. Under Plan B there are possible license plates. There are how many times as many possible plates under Plan B as Plan A?
28. Jason had $2,000.00 in his savings account for only 6 months. When he withdrew this money, he received of a year’s % simple interest. What was the total, savings plus interest, he had when he withdrew his money?
29. A clothing store owner bought a dress for $200.00 and offered it for sale at a retail price that was 25% higher that what he paid. At a sale the owner discounted the retail price by 20%. This later sale price was an increase of what percent of the original $200.00 cost?
30. Rent makes up 40% of Joe’s household expenses. If his rent increases by 15% while the rest remains constant, by what percentage will his total household expenses increase?
31. If a fuel mixture is made up of 90% gasoline and 10% alcohol, how many gallons of alcohol must be added to 180 gallons of gasoline to make this fuel mixture.
32. The cooling system of an automobile contains 20 quarts of a coolant that is a mixture of 2 part of antifreeze to 1 part water, by volume. How many quarts of antifreeze does this system contain?
33. Two-thirds of 1 hour and 36 minutes is equal to how many hours?
Solutions
1. no
2.
3. yes
4.
5.
6. x-intercept: , y-intercept:
7. x-intercept: , y-intercept:
8. 3
9.
10.
11.
12.
13.
14.
15.
16. D
17.
18.
19. A
20. $38
21. 68%
22. 3
23. $4
24.
25. 10,000
26.
27. 2.6
28. $2,032.50
29. 0%
30. 6%
31. 20 gal.
32. quarts
33. hours