WorksheetsPreassessment STEM
Total questions: 60
Worksheet time: 4hrs 44mins
Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.
What is measure x to the nearest tenth?
a)
7.7o
b)
50.1o
c)
59.9o
d)
70.0o
3.
Solve for AC.
a)
A. 13.55 cm
b)
B. 14.39 cm
c)
C. 11.44 cm
d)
D. 12.47 cm
4.
a)
13
b)
17
c)
119
d)
169
5.
a)
14 ft.
b)
4 ft.
c)
20 ft.
d)
16 ft.
6.
a)
A
b)
B
c)
C
d)
D
7.
A babysitter earns $8 an hour for babysitting 2 children and an additional $3 tip when both children are put to bed on time. If the babysitter gets the children to bed on time, what expression could be used to determine how much the babysitter earned?
a)
8x+3 where x is the number of hours
b)
3x+8 where x is the number of hours
c)
x(8+2) + 3 where x is the number of children
d)
3x+(8+2) where x is the number of children
8.
3(x+y)=y
If (x,y) is a solution to the equation above and y does not equal 0, what is the ratio x/y ?
If (x,y) is a solution to the equation above and y does not equal 0, what is the ratio x/y ?
a)
-4/3
b)
-2/3
c)
1/3
d)
2/3
9.
a)
(-112, -264)
b)
(64,88)
c)
(232/3, 224/3)
d)
(288,536)
10.
a)
12
b)
20
c)
24
d)
28
11.
In a certain game, a player can solve easy or hard puzzles. A player earns 30 points for solving an easy puzzle and 60 points for solving a hard puzzle. Tina solved a total of 50 puzzles playing this game, earning 1,950 points in all. How many hard puzzles did Tina solve?
a)
10
b)
15
c)
25
d)
35
12.
a)
A
b)
B
c)
C
d)
D
13.
a)
A
b)
B
c)
C
d)
D
14.
If f(x-1)=2x+3 for all values of x, what is the value of f(-3)
a)
-7
b)
-5
c)
-3
d)
-1
15.
a)
A
b)
B
c)
C
d)
D
16.
For what value of h is
24= (h/10) - 6?
24= (h/10) - 6?
a)
30
b)
200
c)
300
d)
10
17.
What is the value of a if
(2a + 3)-(4a-8)=7?
(2a + 3)-(4a-8)=7?
a)
1
b)
10
c)
4
d)
2
18.
a)
7
b)
9
c)
12
d)
8
19.
If x-2 is a factor of x2-bx+b, where bis a constant, what is the value of b?
a)
8
b)
4
c)
6
d)
2/4
20.
Write the phrase as an expression:
twice a number x plus 8
twice a number x plus 8
a)
2 + 8x
b)
2x + 8
21.
triple the sum of x and 5
a)
3 + x + 5
b)
3 ∙ x + 5
c)
3(x + 5)
d)
(3x) + 5
22.
What is the definition for MEAN
a)
the MIDDLE number
b)
the number you see the MOST
c)
the HIGHEST to SMALLEST number
d)
the AVERAGE of all numbers
23.
Simplify by combining like terms.
8x + 4d + 7y + y + 3x
8x + 4d + 7y + y + 3x
a)
10x
b)
84713xdy
c)
11x+ 4d + 8y
d)
5x + 11dy
24.
Simplify by combining like terms.
7c -8a + 9a + 11c
7c -8a + 9a + 11c
a)
18c + 1a
b)
-4c +17a
c)
78911ca
d)
-1+ 20c
25.
Evaluate
(1/2)5
(1/2)5
a)
1/32
b)
1/10
c)
5/10 or 1/2
d)
none of these
26.
Write an expression:
the amount you earn if you make 6.5 dollars an hour for h hours
the amount you earn if you make 6.5 dollars an hour for h hours
a)
6.5 + h
b)
h + h + 6.5
c)
6.5
d)
6.5h
27.
Write an equation:
the sum of 4 and the quotient of a number k and 9 is 12
the sum of 4 and the quotient of a number k and 9 is 12
a)
4 + (k/9) = 12
b)
4/k + 9 > 12
c)
4+ 9/k < 12
d)
12+ 4k / 9
28.
Which of the following is equivalent to 3(x + 5)-6?
a)
3x-3
b)
3x-1
c)
3x+9
d)
15x-6
29.
a)
5/7
b)
4/33
c)
8/66
d)
11/48
30.
a)
5/7
b)
2/5
c)
4/7
d)
5/8
31.
75% of Frontier students took the bus to school. If 7 students did not take the bus, how many Frontier students are there?
a)
21 students
b)
21%
c)
75 students
d)
28 students
32.
Which of the following numbers shows all of the factors of 12?
a)
1,2,3,4,6,12
b)
1,2,3,4,6,8,12
c)
1,2,4,6,12
d)
2,4,6,8,10,12
33.
24, 48, 72, 96 are all multiples of
a)
5
b)
7
c)
11
d)
12
34.
(9 x 1012)/(3 x 1010)
a)
2 x 101
b)
12 x 101.2
c)
3 x 102
d)
6 x 10-2
35.
area?
a)
108 cm sq
b)
60 cm
c)
432 cm sq
d)
216 cm sq
36.
a)
x = -1
b)
x = 3.5
c)
y = 3.5
d)
y = 4.4
37.
a)
s = 3/4
b)
s = 25/12
c)
s = -25/12
d)
s = -3/4
38.
a)
39,500
b)
40,000
c)
40,500
d)
50,000
39.
a)
A
b)
B
c)
C
d)
D
40.
a)
3.00
b)
5.50
c)
6.67
d)
7.34
41.
a)
A
b)
B
c)
C
d)
D
42.
a)
A
b)
B
c)
C
d)
D
43.
If 5x+6=10, what is the value of 10x+3? (CI)
a)
4
b)
9
c)
11
d)
20
44.
x+y=0
3x−2y=10
Which of the following ordered pairs (x,y) satisfies the system of equations above (CI)
3x−2y=10
Which of the following ordered pairs (x,y) satisfies the system of equations above (CI)
a)
(3, -2)
b)
(2, -2)
c)
(-2, 2)
d)
(-2, -2)
45.
A landscaping company estimates the price of a job, in dollars, using the expression 60+12nh, where n is the number of landscapers who will be working and h is the total number of hours the job will take using n landscapers. Which of the following is the best interpretation of the number 12 in the expression? (CI)
a)
The company charges $12 per hour for each landscaper.
b)
A minimum of 12 landscapers will work on each job.
c)
The price of every job increases by $12 every hour.
d)
Each landscaper works 12 hours a day.
46.
√(2k2+17) − x = 0
If k > 0, and x = 7 in the equation above, what is the value of k? (CI)
If k > 0, and x = 7 in the equation above, what is the value of k? (CI)
a)
2
b)
3
c)
4
d)
5
47.
Which of the following equations has a graph in the x,y-plane for which y is always greater than or equal to -1? (CI)
a)
y = ∣x∣−2
b)
y = x2 − 2
c)
y = (x - 2)2
d)
y = x3 - 2
48.
What is the sum of all values of m that satisfy 2m2-16m+8=0 ? (CI)
a)
-8
b)
-4√3
c)
4√3
d)
8
49.
A radioactive substance decays at an annual rate of 13 percent. If the initial amount of the substance is 325 grams, which of the following functions f models the remaining amount of the substance, in grams, t years later? (CI)
a)
f(t)=325(0.87)t
b)
f(t)=325(0.13)t
c)
f(t)=0.87(325)t
d)
f(t)=0.13(325)t
50.
2x(3x+5)+3(3x+5)=ax2+bx+c
In the equation above, a, b, and c are constants. If the equation is true for all values of x, what is the value of b? (CI)
In the equation above, a, b, and c are constants. If the equation is true for all values of x, what is the value of b? (CI)
a)
5
b)
6
c)
13
d)
19
51.
Segment AE is parallel to segment CD and segment AD interesects segment CE. What is the length of segment CE? (CI)
a)
4
b)
6
c)
8
d)
12
52.
ℓ=24+3.5m
One end of a spring is attached to a ceiling. When an object of mass m kilograms is attached to the other end of the spring, the spring stretches to a length of ℓ centimeters as shown in the equation above. What is m when ℓ is 73?
One end of a spring is attached to a ceiling. When an object of mass m kilograms is attached to the other end of the spring, the spring stretches to a length of ℓ centimeters as shown in the equation above. What is m when ℓ is 73?
a)
14
b)
27.7
c)
73
d)
279.5
53.
A quality control manager at a factory selects 7 lightbulbs at random for inspection out of every 400 lightbulbs produced. At this rate, how many lightbulbs will be inspected if the factory produces 20,000 lightbulbs?
a)
200
b)
350
c)
400
d)
450
54.
In a video game, each player starts the game with k points and loses 2 points each time a task is not completed. If a player who gains no additional points and fails to complete 100 tasks has a score of 200 points, what is the value of k?
a)
0
b)
150
c)
250
d)
400
55.
A function f satisfies f(2)=3 and f(3)=5. A function g satisfies g(3)=2 and g(5)=6. What is the value of f(g(3))?
a)
2
b)
3
c)
5
d)
6
56.
A researcher conducted a survey to determine whether people in a certain large town prefer watching sports on television to attending the sporting event. The researcher asked 117 people who visited a local restaurant on a Saturday, and 7 people refused to respond. Which of the following factors makes it least likely that a reliable conclusion can be drawn about the sports-watching preferences of all people in the town?
a)
Sample size
b)
Population size
c)
The number of people who refused to respond
d)
Where the survey was given
57.
According to the line of best fit in the scatterplot at left, which of the following best approximates the year in which the number of miles traveled by air passengers in Country X was estimated to be 550 billion?
a)
1997
b)
2000
c)
2003
d)
2008
58.
The distance traveled by Earth in one orbit around the Sun is about 580,000,000 miles. Earth makes one complete orbit around the Sun in one year. Of the following, which is closest to the average speed of Earth, in miles per hour, as it orbits the Sun?
a)
66,000
b)
93,000
c)
210,000
d)
420,000
59.
A survey was taken of the value of homes in a county, and it was found that the mean home value was $165,000 and the median home value was $125,000. Which of the following situations could explain the difference between the mean and median home values in the county?
a)
The homes have values that are close to each other.
b)
There are a few homes that are valued much less than the rest.
c)
There are a few homes that are valued much more than the rest.
d)
Many of the homes have values between $125,000 and $165,000.
60.
Divide:
(4x2 - 24x + 35) / (2x - 5)
(4x2 - 24x + 35) / (2x - 5)
a)
2x - 7
b)
2x - 12
c)
2x + 12
d)
2x + 7
100 %
