MATH STANDARDS PRACTICE #1
1. Which illustrates the commutative property of addition?
A. a + b = a + b
B. (a + b) + c = a + (b + c)
C. c + (a + b) = (a + b) + c
D. a(b + c) = ab + bc
2. Use the distributive property to rewrite the expression: 2/3(6x – 9y) –3/4(4x – 8) – 12y. Which
represents an equivalent expression?
A. 4x – 6y – 3x – 6 – 12y
B. 4x – 6y – 3x + 6 – 12y
C. 4x – 9y – 3x – 8 – 12y
D. 4x – 9y – 3x + 8 – 12y
3. Which Equation represents the additive inverse property?
A. -5 + 0 = -5
B. -5 + 5 = 0
C. 5 + 1 = 1 + 5
D. 5 + 1 = 6
4. Which property best illustrates the following statement? The distance from Kansas City to
Wichita is 250 miles can also be said as 250 miles is the distance from Kansas City to Wichita.
A. Communities Property
B. Symmetric Property
C. Identity Property
D. Associative Property
5. Solve for h:
A.
B.
C.
D.
2h > -18
h > -36
h > -20
h > -16
h > -9
6. Which statement is true about the solution(s) to the following equation:
(x-5)(2x+3) = 0
A. 5 is the only solution
B. – 3/2 is the only solution
C. x must equal both 5 and -3/2
D. x must equal 5 or -3/2
7. Chuck estimated he should buy 10 cans of spray paint to color in a rectangular end zone on a
football field. The end zone measures 10 yards by 53 yards. After reading on the paint can that
one can will cover 25 square yards, how should Chuck adjust the number of cans he needs? His
new estimate should be:
A. 6 cans
B. 12 cans
C. 25 cans
D. 50 cans
8. The formula for volume is V= l w h. How many feet deep will the slab under this house be if
the amount of concrete used was 576ft3?
A.
B.
C.
D.
_ foot
1 _ feet
3 feet
6 feet
9. Jon works for an oil company. He needs an oil tank to hold 800 ft3. The tank has a diameter
of 10 feet. Which of the following would be closest to the height of the oil in the tank? The
volume of a cylinder is V = 3.14 r2h.
A. 5 feet
B. 8 feet
C. 10 feet
D. 12 feet
10. A flower garden in the park has a brick border with a perimeter of 50 feet. The garden will
be larger next year and its new perimeter will be 80 feet. What is the percent increase in the
length of the brick border?
A. 160%
B. 62.5%
C. 60%
D. 37.5%
11. Tickets for the PBR Rodeo are $50 for adults and $30 for children. You need to sell at least
$6500 in tickets. Give an inequality that represents this situation.
A. 30x + 50y > 6500
B. 30x + 50y > 6500
C. 30x + 50y < 6500
D. 30x + 50y < 6500
12. In a linear system where the two lines are parallel, which statement is true? The system has:
A. infinite solutions
B. exactly one solution
C. no solution
D. exactly two solutions
13. Given the graphs of the following two different linear functions, which of the following is a
true statement about their equations in y = mx + b form?
A:
B:
A.
B.
C.
D.
The m values are the same and the b values are different.
The m values are different and the b values are the same.
The m and b values are the same.
The m and b values are both different.
14. You have a friend camping in yellow stone national park. She is located 24 miles north of
the Park Headquarters. The airport where rescue helicopters are located is 32 miles due east of
the Park Headquarters. What would be the shortest distance a rescue team would need to fly to
reach your friend?
A.
B.
C.
D.
35 miles
38 miles
40 miles
56 miles
15. If a line has a slope of 4/5 and a y intercept of 5, what would the slope of a line
perpendicular to it be?
A.
B.
C.
D.
5/4
4/5
-4/5
-5/4
17. Which equation represents the graph of the line shown below (scale of 1 on both axes)?
A.
B.
C.
D.
x + 2y = 2
- x + 2y = 2
x +2y = 1
- x + 2y = 1
17. There is a 30% probability it will rain today. What are the odds that it will rain?
A. 3/10
B. 10/3
C. 3/7
D. 7/3
18. In the following ACT scores of a rather small group, which statement is true about the effect
of adding the outlier 12?:
20, 20, 25, 26, 26, 26, 27, 28, 30, 30, 34
A.
B.
C.
D.
Mode decreases
Median decreases
Mean decreases
Range decreases
19. Which of the following statements is true about the following stem and leaf plots.
3A Block
7, 4, 0
4, 3, 2, 1
7, 6, 5, 4, 4, 3
6, 5, 4, 3, 2, 1
0
A.
B.
C.
D.
Stem
5
6
7
8
9
10
3B Block
1
2
3, 4, 5, 6
1, 4, 4, 6, 9
0, 2, 4, 6, 7, 8
0, 0, 0
Bimodal in both blocks
Ranges are the same
Median is higher in Block 3B
Mean is higher in Block 3A
20. Given the formula Y = 50 – (D-30), where Y is the yield in pounds per tree of cherries and D
is the density of the plants in trees per acre, what is the density of trees with a yield of 70 pounds
per tree?
A.
B.
C.
D.
200 trees per acre
150 trees per acre
50 trees per acre
10 trees per acre
21.
Which would be an equation for the line of best fit?
A. y = 15x
B. y = -15x
C. y = 1/15 x
D. y = -1/15 x
22.
Given the following data, what would be the expected average salary in 2010? (0 represents year
2000 so the average salary for 2000 was $20,000)
A.
B.
C.
D.
$90,000
$120,000
$150,000
$180,000
23.
Trip Budget
Money
Left
Over
$
miles
The line on the graph above shows the predicted amount of money left if the budget was
followed while taking a trip. The point shown would indicate which of the following?
A.
B.
C.
D.
They spent less than what was budgeted.
They spent more than what was budgeted.
The amount of money they had at the start of the trip.
The number of miles traveled before they ran out of money.
24. The volume of a cylinder is to be reduced to 1/5 th of its size. If the cylinder must have the
same shape, by what factor must the radius be multiplied by?
A.
B.
C.
D.
square of (1/5)
square root of (1/5)
cube of (1/5)
cube root of (1/5)
25. Using the frequency table, which statement is true.
SPORT
NUMBER OF PARTICIPANTS
2004
llll llll llll llll
llll llll llll ll
llll lll
llll llll llll
llll
llll llll llll
FOOTBALL
BASKETBALL
WRESTLING
TRACK
GOLF
BASEBALL
A.
B.
C.
D.
2005
llll llll llll llll llll
llll llll llll
llll lll
llll llll
llll l
llll llll
The mean decreased from 2004 to 2005.
The median increased from 2004 to 2005.
The range decreased from 2004 to 2005.
The mode increased from 2004 to 2005.
26. Which statement is correct in comparing the following class scores?
CLASS A
CLASS B
7
7
6
#
5
of
4
students3
2
1
5
4
4
2
________________________
60-69 70-79 80-89 90-99
A.
B.
C.
D.
#
of
students
7
6
5
4
3
2
1
1
1
__________________
60-69 70-79 80-89
Class A has a larger median score and a larger interquartile range of scores.
Class A has a larger median score and a smaller interquartile range of scores.
Class A has a smaller median score and a larger interquartile range of scores.
Class B has a smaller median score and a smaller interquartile range of scores.
ANSWERS: 1 C 2 B 3 B 4 B 5 D 6 D 7 C 8 A 9 C 10 C 11 A 12 C 13 B 14 C
15 D 16 B 17 C 18 C 19 C 20 D 21 C 22 B 23 A 24 D 25 A 26 A