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Math Matters 3-4 DCA Practice Test

Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 
 
Solve the proportion. If necessary, round to the nearest hundredth.
 

 1. 

mm3-4_files/i0030000.jpg
a.
25
c.
30
b.
20
d.
35
 
 
Factor the polynomial.
 

 2. 

mm3-4_files/i0050000.jpg
a.
mm3-4_files/i0050001.jpg
c.
mm3-4_files/i0050002.jpg
b.
mm3-4_files/i0050003.jpg
d.
mm3-4_files/i0050004.jpg
 

 3. 

Evaluate the following expression if x = 8, y = 6, and z = 6.
mm3-4_files/i0060000.jpg
a.
384
c.
93
b.
9
d.
372
 
 
Evaluate the expression.
 

 4. 

mm3-4_files/i0080000.jpg
a.
117
c.
182
b.
87
d.
407
 

 5. 

The table below lists the coordinate pairs for some of the points on a linear graph. Which equation shows the relationship between x and y?
x
y
1
4
3
2
5
0
7
-2
a.
y = -x +5
c.
x = y -5
b.
x = y +5
d.
y = -x -5
 
 
Solve the equation. Then check your solution.
 

 6. 

mm3-4_files/i0110000.jpg
a.
–1
c.
1.5
b.
mm3-4_files/i0110001.jpg
d.
1
 

 7. 

Find the perimeter and area of the parallelogram. Round to the nearest tenth if necessary.
mm3-4_files/i0120000.jpg
a.
8.6 cm; 21.2 mm3-4_files/i0120001.jpg
c.
17.2 cm; 21.2 mm3-4_files/i0120002.jpg
b.
17.2 cm; 17.7 mm3-4_files/i0120003.jpg
d.
8.6 cm; 17.7 mm3-4_files/i0120004.jpg
 
 
Simplify the expression. If not possible, write simplified.
 

 8. 

mm3-4_files/i0140000.jpg
a.
mm3-4_files/i0140001.jpg
c.
mm3-4_files/i0140002.jpg
b.
mm3-4_files/i0140003.jpg
d.
simplified
 

 9. 

Convert 9,343 millimeters to meters.
a.
9.343 meters
c.
93.43 meters
b.
934.3 meters
d.
9,343,000 meters
 

 10. 

Find the area of the circle to the nearest tenth. Use 3.14 for p.
mm3-4_files/i0160000.jpg
a.
511.1 cm2
c.
45.2 cm2
b.
651.1 cm2
d.
162.8 cm2
 

 11. 

The Anderson family is making preparations for a party. They figure that they will need 12 cans of soft drinks for every 4 people who attend. How many cans will they need if they are expecting 24 people?
a.
288
c.
48
b.
12
d.
72
 

 12. 

The recipe for a large wedding cake calls for 12 cups of sugar and 28 cups of flour. What is the ratio of sugar to flour? Express the ratio in simplest form.
a.
28:12
c.
6:14
b.
3:7
d.
7:3
 
 
Find the volume of the prism. Round to the nearest tenth if necessary.
 

 13. 

mm3-4_files/i0200000.jpg
a.
111 inmm3-4_files/i0200001.jpg3
c.
38 inmm3-4_files/i0200002.jpg3
b.
189 inmm3-4_files/i0200003.jpg3
d.
139 inmm3-4_files/i0200004.jpg3
 

 14. 

Find the mean, median, and mode of the following list of values. Round to the nearest tenth if necessary.
30, 26, 25, 11, 34, 20, 26, 26
a.
Mean = 99
Median = 26
Mode = 26
c.
Mean = 24.8
Median = 26
Mode = 26
b.
Mean = 24.8
Median = 26
Mode = 25
d.
Mean = 24.8
Median = 26
Mode = 26
 
 
Find the perimeter of the given triangle. Round your answer to the nearest tenth if necessary.
 

 15. 

mm3-4_files/i0230000.jpg, if mm3-4_files/i0230001.jpg, given mm3-4_files/i0230002.jpg, mm3-4_files/i0230003.jpg, mm3-4_files/i0230004.jpg, and mm3-4_files/i0230005.jpg.
mm3-4_files/i0230006.jpg
a.
72
c.
14
b.
16
d.
48
 

 16. 

Find x and y.
mm3-4_files/i0240000.jpg
a.
mm3-4_files/i0240001.jpg
c.
mm3-4_files/i0240002.jpg
b.
mm3-4_files/i0240003.jpg
d.
mm3-4_files/i0240004.jpg
 
 
Translate the sentence into an equation.
 

 17. 

The product of five and four more than x is 60.
a.
mm3-4_files/i0260000.jpg
c.
mm3-4_files/i0260001.jpg
b.
mm3-4_files/i0260002.jpg
d.
mm3-4_files/i0260003.jpg
 
 
A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips. Find each probability.
 

 18. 

selecting three green chips with replacement
a.
mm3-4_files/i0280000.jpg
c.
mm3-4_files/i0280001.jpg
b.
mm3-4_files/i0280002.jpg
d.
mm3-4_files/i0280003.jpg
 

 19. 

The table below shows Shannon’s yearly income form 1994 to 1998. Based on the table, what would you expect Shannon’s income to be in the year 2001?
Year
1994
1995
1996
1997
1998
Income ($)
17,500
19,000
20,500
22,000
23,500
a.
$26,500
b.
$28,500
c.
$25,000
d.
$29,500
e.
$28,000
 

 20. 

Monica works 40 hours per week at two different jobs. She works h hours per week at the first job and is paid r dollars per hour. At her second job she is paid s dollars per hour. Which expression gives her weekly pay from the two jobs?
a.
mm3-4_files/i0300000.jpg
d.
mm3-4_files/i0300001.jpg
b.
mm3-4_files/i0300002.jpg
e.
mm3-4_files/i0300003.jpg
c.
mm3-4_files/i0300004.jpg
 

 21. 

Last year the volleyball team paid $5 per pair for socks and $17 per pair for shorts on a total purchase of $315.  This year they spent $342 to buy the same number of pairs of socks and shorts because the socks now cost $6 a pair and the shorts cost $18.
Write a system of two equations that represents the number of pairs of socks and shorts bought each year.
a.
5x +17 y  = 342
6x +18y  = 315
c.
5x +6x = 315
17y + 18y =342
b.
5x +17y = 315
6x +18y = 342
d.
5x + 17y +315 = 342
6x + 18 y + 342 = 315
 
 
Compare the quantities in Columns A and B.
 

 22. 


Set A: {-5, 3, -4, 2, 11}
Set B: {9, -3, 4, 1, 0, 5}

Column A
Column B
the mean of Set A
the median of Set B

Determine whether:
a.
the quantity in Column A is greater,
b.
the quantity in Column B is greater,
c.
the two quantities are equal, or
d.
the relationship cannot be determined from the information given.
 

 23. 

The chart below shows the number of hours worked by Marcus and Joelle last week. Marcus is paid $6.25 per hour and Joelle is paid $7.75 per hour. How much more did Joelle earn than Marcus?
Hours Worked Last Week
Name
M
T
W
TH
F
Marcus
6
0
6
7
8
Joelle
5
6
7
7
0
a.
$12.50
b.
$25
c.
$27
d.
$193.75
e.
$168.75
 
 
A standard deck of cards contains 52 cards divided evenly into four suits. The suits are hearts and diamonds which are red and clubs and spades which are black. Each suit is composed of cards numbered two through ten and a jack, queen, king, and ace.
 

 24. 

What is the probability of selecting a heart or ace from a standard deck of cards?
a.
mm3-4_files/i0360000.jpg
c.
mm3-4_files/i0360001.jpg
b.
mm3-4_files/i0360002.jpg
d.
mm3-4_files/i0360003.jpg
 

 25. 

In parallelogram ABCD, the measures of angle A and C are each 105°.  What is the measure of angle D?
a.
105°
c.
75°
b.
127.5°
d.
150°
 

 26. 

Which sentence can be represented by the inequality mm3-4_files/i0380000.jpg
a.
The total cost of x items at $5 is greater than $10.
c.
The total cost of x items at $5 is at most $10.
b.
The total cost of x items at $5 is less than $10.
d.
The total cost of x items at $5 is at least $10.
 

 27. 

All squares are rectangles.  All rectangles are parallelograms.  Which statement below is true?
a.
All rectangles are squares.
c.
All squares are parallelograms.
b.
All parallelograms are squares.
d.
All parallelograms are rectangles
 

 28. 

On a circular clock, the hour hand points directly at the number 6.  Eight hours later, the hour hand points directly at 2.  The change represnts a clockwise rotation of how many degrees?
a.
180°
c.
240°
b.
60°
d.
105°
 

 29. 

Which mountain is the highest?(in feet)



Mountain
Height
Everest
mm3-4_files/i0410000.jpg
Elbrus
mm3-4_files/i0410001.jpg
Whitney
mm3-4_files/i0410002.jpg
Kosciusko
mm3-4_files/i0410003.jpg
a.
Kilimanjaro
c.
Everest
b.
Whitney
d.
Kosciusko
 

 30. 

Nancy started with a photo with dimensions mm3-4_files/i0420000.jpg inches by mm3-4_files/i0420001.jpginches.  She enlarged it so each dimension was 3 times the original.  What was the area of the enlarged photo.
a.
mm3-4_files/i0420002.jpg square inches
c.
63 square inches
b.
mm3-4_files/i0420003.jpg square inches
d.
126 square inches
 



 
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