WORKSHEET 4
1. Is  1,2 a solution of y 
MATHEMATICS PLACEMENT TEST SUPPORT
1
x 1?
2
1
2. Find the ordered pair solution of y   x  2 corresponding to x  12 .
6

3. Is 2,1 a solution of the system  x  2 y  4 ?

2 x  y  3

3x  y  2

.

y  2x  1

4. Find the ordered pair solution of

5. Find the ordered pair solution of 7 x  y  14
2 x  5 y  33.
6. Find the x- and y-intercepts of y  3x  2 . Write these as ordered pairs.
7. Find the x- and y-intercepts of
y
2
x  3 . Write these as ordered pairs.
3
8. Find the slope of the line containing the points 2,1 and 3,4 .
9. Find the equation of the line containing points 2,4 and 4,1 .
10. Find the equation of the line with slope
3
containing the point 0,6 .
4
11. Find the equation of the line with slope 
3
containing the point 5,3 .
5
12. Solve the inequality 7 x  4  3x .
13. Solve the inequality 32 x  5  8x  5 .
14. Find the value of 3x 8x  4 x 3  3x 72 x when x  2 .
1
15. If 4 z  6 then z 
4
16. Which of the following represent the data in the table?
x  y 1
B. x  2 y  2
D. y  2 x  3
E. y  2 x  4
A.
x 1 2 3 4
C. x  2 y  3
5
y 5 7 9 11 13
17. If a number x is increased by 18% of itself, express, in terms of x , the new number that is formed?
18. The number a is 6 more than the product of 3 and b . Write an equation that relates the value of a and b .
19. Worker A earns x 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. 3x  2
B 4x
C. 4x  2
D. 5x
E. 5x  2
WORKSHEET 4
page 2
20. The cost C, in dollars, to order picture frames is given by the formula C  6n  p , where p 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
1
of the water is poured out, the jug and the
2
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
1
1
mile and $0.35 for each additional
mile.
2
4
What is the cost, excluding tip, of a taxi trip that is 3 miles long?
24. If
6 24

then x 
x
5
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
2
cup of diced onions. What part of a cup of onions should be used if Sarah is going to make
3
1
of this recipe?
2
27. In a certain state, Plan A is to have license plates with 2 letters followed by 4 digits. Under plan A, there are
26 2  10 4 possible license plates. Plan B calls for 3 letters followed by 3 digits. Under Plan B there are 26 3  10 3
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
1
of
2
1
a year’s 3 % simple interest. What was the total, savings plus interest, he had when he withdrew his money?
4
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. 12,4
3. yes
31. 20 gal.
5. 1,7
 2 
6. x-intercept:   ,0  , y-intercept: 0,2
 3 
 9 
7. x-intercept:   ,0  , y-intercept: 0,3
 2 
8. 3
5
9. y   x  9
2
3
x6
4
10. y 
3
11. y   x
5
12. x  1
13. x  5
14. 96  8 2
24
17
16. D
17. 1.18x
18. a  6  3b
19. A
20. $38
21. 68%
22. 3
23. $4
24.
5
4
25. 10,000
26.
1
3
27. 2.6
29. 0%
30. 6%
4. 1,1
15. z 
28. $2,032.50
1
32. 13 quarts
3
33. 1
1
hours
15