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WorksheetsSTAR Math Practice Exam
Total questions: 100
Worksheet time: 5hrs 54mins
Name
Class
Date
1.
Which fraction is equivalent to 12/15?
a)
6/5
b)
4/5
c)
3/5
d)
2/5
2.
2/3 = ?/9
a)
2
b)
3
c)
6
d)
8
3.
What fraction does the shaded part of the model show?
a)
3/10
b)
3/9
c)
3/12
d)
3
4.
What property is this?
5 + (8 + 14) = (5 + 8) + 14
5 + (8 + 14) = (5 + 8) + 14
a)
Associative Property of Multiplication
b)
Distributive Property
c)
Identity Property
d)
Associative Property of Addition
5.
12 + 7 = 7 + 12
What property is this?
What property is this?
a)
Commutative Property of Addition
b)
Commutative Property of Multiplication
c)
Distributive Property
d)
Identity Property of Addition
6.
The above is a net of a :
a)
cylinder
b)
cone
c)
cuboid
d)
cube
7.
A cuboid has _______ vertices and ______ edges.
a)
8 vertices and 12 edges
b)
6 vertices and 12 edges
c)
12 vertices and 8 edges
d)
8 vertices and 10 edges
8.
What type of triangle is the above?
a)
isosceles triangle
b)
equilateral triangle
c)
scalene triangle
d)
right angle triangle
9.
The butterfly has
a)
1 horizontal line of symmetry
b)
1 vertical line of symmetry
c)
1 horizontal and 1 vertical line of symmetry
d)
no lines of symmetry
10.
Write down a multiple of 6 and 8 which is less than fifty.
a)
48
b)
42
c)
49
d)
46
11.
Sarah earns $20 a day working after school. She spent 30% of her daily earnings on Monday. How much money did she spend on Monday?
a)
$1.40
b)
$6
c)
$0.60
d)
$14
12.
Shirley spelled 12 of her 15 spelling words correctly on the test. What percent grade did Shirley get on the test?
a)
40%
b)
50%
c)
80%
d)
60%
13.
Mary has 3 ribbons. The measurements of the ribbons are 4 inches, 7 inches, and 10 inches. The red ribbon is 10 inches long. The blue ribbon is the shortest. How long is the purple ribbon?
a)
4 inches
b)
10 inches
c)
21 inches
d)
7 inches
14.
What time is it?
a)
3:05
b)
1:15
1:15
1:15
c)
3:01
d)
3:00
15.
It is 1:00. Ms. Read will go for a bike ride. She will ride for 2 hours.What time will she come home?
a)
2:30
b)
3:00
c)
5:00
d)
4:30
16.
What time does the clock show?
a)
7:30
b)
8:30
c)
5:30
d)
6:30
17.
Coach K's class plays a game. The class earns 5 points each time they answer a question correctly. The class earns 50 points playing the game on Monday.
How many questions did the class answer correctly?
a)
2
b)
15
c)
10
d)
4
18.
What is the additive inverse of -5?
a)
-5
b)
0
c)
5
d)
-0
19.
the distance a number is from zero on a number line
a)
inequality
b)
absolute value
c)
negative number
d)
positive number
20.
Which of the following is the GREATEST?
a)
|-2|
b)
|-4|
c)
|3|
d)
|-5|
21.
Hailey’s bank statement showed that she owed $350. She made a deposit of $200. She purchased gasoline for $23. She made a deposit of $35, but then purchased a book for $15. What is her new balance?
a)
-$153
b)
$547
c)
$153
d)
-$77
22.
Add. Write fractions in simplest form.
a)
1/10
b)
5/5
c)
-1/10
d)
13/15
23.
What is the perimeter of a rectangle with side lengths 12 inches and 14 inches?
a)
26 inches
b)
52 inches
c)
168 inches
d)
40 inches
24.
What is the value of angle a?
a)
123 degrees
b)
133 degrees
c)
43 degrees
d)
130 degrees
25.
What is 12,690 rounded to the nearest thousand?
a)
10,000
b)
20,000
c)
12,000
d)
13,000
26.
What do all of the angles in a triangle add up to?
a)
360 degrees
b)
180 degrees
c)
90 degrees
d)
270 degrees
27.
Natalie ate 3/8 of an apple. Later, she ate another 3/8 of the apple. What fraction of the apple did she eat in all?
a)
2/8
b)
6/8
c)
6/16
d)
8/8
28.
How many cars were sold on Monday and Tuesday?
a)
13
b)
5
c)
11
d)
2
29.
A car salesman gets 3% commission on every car sold. The car salesman sells a car for 46,000. What is the car salesman’s commission?
a)
8,680
b)
1,380
c)
14,000
d)
46,000
30.
What is the upper quartile?
a)
28.5
b)
27
c)
23.5
d)
22
31.
What is the median?
a)
22
b)
23.5
c)
25
d)
30
32.
What is the area?
a)
25 square units
b)
10 square units
c)
20 square units
d)
30 square units
33.
If the area is 66 square kilometers, what is the length of the missing side?
a)
60 kilometers
b)
11 kilometers
c)
55 kilometers
d)
6 kilometers
34.
What is the length of the missing side?
a)
45 feet
b)
27 feet
c)
4 feet
d)
3 feet
35.
How many more cars were sold on Friday than on Sunday?
a)
2 cars
b)
9 cars
c)
8 cars
d)
3 cars
36.
a)
$5.23
b)
$5.59
c)
$5.54
d)
$5.89
37.
a)
$0.92
b)
$1.27
c)
$0.67
d)
$0.77
38.
a)
$1.50
b)
$1.20
c)
$2.50
d)
$2.20
39.
In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?
a)
35
b)
60
c)
18
d)
50
40.
Solve for k
4k + 4 = 44
4k + 4 = 44
a)
-9
b)
-10
c)
9
d)
10
41.
-2 + 2m = -6
Solve for m
Solve for m
a)
10
b)
-2
c)
3
d)
-3
42.
Bill's Bikes rents bikes for $16 plus $6 per hour. Christina paid $58 to rent a bike. For how many hours did she rent the bike?
*You may need to write an equation*
*You may need to write an equation*
a)
9.5
b)
6
c)
9
d)
7
43.
Maria is a private investigator. She charges $11 plus $8 per hour. If your bill is $67, then how many hours did she work?
a)
6
b)
8
c)
7
d)
8
44.
Find the error in the problem below
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20
a)
They should have divided by 1 for the last step
b)
They should add 19 instead of subtracting 19
c)
I can not find an error
d)
Instead of adding 3k they should subtract 3k
45.
Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 7 = 3(x - 3) + 2
a)
one
b)
no solutions
c)
infinite solutions
46.
Is the function linear or nonlinear?
a)
Linear Function
b)
Nonlinear Function
47.
Is the function linear or nonlinear?
a)
Linear Function
b)
Nonlinear Function
48.
What is the slope?
a)
m= -2/3
b)
m=3/2
c)
m=-3
d)
m=2
49.
Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.
a)
y = 3x + 2.5
b)
y = 2.50x + 3
c)
y = 2.50x
d)
y = 3x + 2.50
50.
What is the y-intercept of the line?
a)
y = 1/2
b)
y = 1
c)
y = -1/2
d)
y = -1
51.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
52.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
53.
At 0 seconds, Mrs. Taylor was 10 feet off the ground. At 5 seconds, she was 20 feet off the ground. What is her rate in feet per second?
a)
10 feet per second
b)
5 feet per second
c)
2 feet per second
d)
6 feet per second
54.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
55.
Write the equation in slope-intercept form (solve for y):
-3y + 5x = 12
-3y + 5x = 12
a)
y = -4 + 5x
b)
y = -4 + 5/3x
c)
y = 4 - 5/3x
d)
y = 12 + 5x
56.
What is the slope in the equation: y=4x+3
a)
3
b)
4x
c)
4
d)
3x
57.
Write equation of the line containing (6, 3) and (4, 1)
a)
y = -1x + 5
b)
y = 1x - 3
c)
y = 1x + 5
d)
y = -1x + 3
58.
7b - 3 < 11
a)
b < 2
b)
84 > b
c)
b > 2
d)
b < 84
59.
s + 9 ≥ -25
a)
s ≥ -18
b)
s ≥ -34
c)
s ≤ 18
d)
s ≥ 34
60.
a)
x is less than or equal to -2
b)
x < -2
c)
-2 < x
d)
x is greater than -2
61.
What inequality symbol goes with is at least?
a)
<
b)
>
c)
≤
d)
≥
62.
10 less than the product of a number and three
a)
10 − 4
b)
10 − 3y
c)
3y − 10
d)
3÷y − 10
63.
2 times the sum of y and 5
a)
62
b)
2(y+5)
c)
2(6y)
d)
2 ∗ y + 5
64.
Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-1, 4)
b)
(1, -4)
c)
(-4, 1)
d)
(4, -1)
65.
What is the solution to this system?
x - y = 6
y= 2x - 5
x - y = 6
y= 2x - 5
a)
(1,3)
b)
(-1,3)
c)
(-1,-7)
d)
(1,-7)
66.
Simplify:
a)
√4√12
b)
4√12
c)
4√3
d)
2√3
67.
Simplify:
a)
5x√2
b)
100x√2
c)
10x√2
d)
10√2x
68.
What are the coordinates of the vertex of the graph of the function y=-x2+6x-11?
a)
(3,-2)
b)
(3,16)
c)
(-3,-29)
d)
(-3,-20)
69.
What is the solution of n2-49=0?
a)
-7
b)
7
c)
± 7
d)
no solution
70.
Which of the following equations matches standard form of a quadratic?
a)
ax + by = c
b)
y = a(x - h)2 + k
c)
y = ax2 + bx + c
d)
y = mx + b
71.
Determine the values of
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
72.
What are the solutions to this equation?
(3x-2)(5x+1)=0
(3x-2)(5x+1)=0
a)
x=5/2,-1/3
b)
x=1/5,-2/3
c)
x=1/3,-5/2
d)
x=2/3,-1/5
73.
Factor
n2-13n+40
n2-13n+40
a)
(n-5)(n-8)
b)
(n+5)(n-8)
c)
(n-5)(n+8)
d)
(n+6)(n+1)
74.
Using the pictured graph, what is f(-3)?
a)
-3
b)
-1
c)
1
d)
3
75.
1. What is this type of function called?
a)
Discrete Function
b)
Segment Function
c)
Step Function
d)
Jump Function
76.
Which piecewise function corresponds to this graph? (Take your time)
a)
f(x) = { x if x < 4; -x+1 if x ≥ 4
b)
f(x) = { x if x ≤ 4; -x+1 if x > 4
c)
f(x) = { -x+1 if x < 4; x if x ≥ 4
d)
f(x) = { -x+1 if x ≤ 4; x if x > 4
77.
What type of function is shown in the graph above?
a)
Linear
b)
Quadratic
c)
Exponential
d)
Absolute Value
78.
identify the vertex of the following function.
a)
(1,0)
b)
(-1,0)
c)
(0,1)
d)
(0,-1)
79.
What is the domain of the absolute value function?
a)
(4, 0)
b)
(0, 4)
c)
(-infinity, infinity)
d)
[4, infinity)
80.
y = |x| - 7 makes the graph slide . . .
a)
left 7
b)
right 7
c)
up 7
d)
down 7
81.
y = |x - 3| makes the graph slide . . .
a)
left 3
b)
right 3
c)
up 3
d)
down 3
82.
What is the Domain and Range of the Function?
a)
D:[2,∞)
R:[0,∞)
R:[0,∞)
b)
D: All Real numbers
R:[0,∞)
R:[0,∞)
c)
D:(2,∞)
R:(0,∞)
R:(0,∞)
d)
D:All Real Numbers
R:(0,∞)
R:(0,∞)
83.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
84.
Functions that are made up of distinct "pieces" of other functions based on different rules for the domain are called?
a)
Absolute Value Functions
b)
Piecewise Functions
c)
Exponential Functions
d)
Quadratic Functions
85.
Find the horizontal and vertical asymptotes
f(x) = (x+9)/(2x-6)
f(x) = (x+9)/(2x-6)
a)
x=-3 and y=1/2
b)
x=1/2 and y=3
c)
x=3 and y =-1/2
d)
x=3 and y=1/2
86.
Which of the following is determined by just looking at the denominator?
a)
vertical asymptote
b)
horizontal asymptote
c)
holes
d)
slant asymptote
87.
What are the horizontal and vertical asymptotes of the following function:
y = 2x / (x - 6)
y = 2x / (x - 6)
a)
y = 1/2, x = 3
b)
y = 2, x = 6
c)
y = 1/2, x = 6
d)
y = 2, x = 3
88.
What is the equation of this graph?
a)
y=2|x-3|+1
b)
y=2|x-1|+3
c)
y=-2|x-1|-3
d)
y=-2|x-1|+3
89.
Find the vertical asymptote.
x2-2x-8
__________
3x-2
x2-2x-8
__________
3x-2
a)
y=2/3
b)
x=3/2
c)
x= 2/3
d)
x=1/3
90.
State the vertical asymptote: f(x)=(x-2)/(x+5).
a)
x = -2/5
b)
x = -5/2
c)
x = -5
d)
x = 2
91.
What is the horizontal asymptote of the function?
a)
y=0
b)
none
c)
y=1
92.
What is the domain?
a)
All real numbers except 1/2
b)
All real numbers
c)
All real numbers except -4
d)
All real numbers except 4
93.
Is there a hole or a vertical asymptote?
a)
A hole when x = 2
b)
A vertical asymptote at x = 2
c)
there is no hole or vertical asymptote
94.
The function f(t) = -5t2+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?
a)
4 seconds
b)
-2 seconds
c)
6 seconds
d)
9 seconds
95.
Write logb(x/y) as two logs
a)
logbx-logby
b)
logbx+logby
c)
logbx*logby
d)
logbx/logby
96.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
97.
Simplify 8log8x
a)
0
b)
1
c)
x
d)
8
98.
Solve log(x) + log(x+3) = 1
a)
5
b)
-2
c)
-5
d)
2
99.
102x=10000
a)
x=2
b)
x=.019
c)
x=7
d)
Does Not Exist
100.
What is the horizontal asymptote?
a)
x = 2
b)
y = 2
c)
x = 1
d)
y = 1
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