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```Name:
1
2
3
The statement x + 3 = 3 + x is an example of the use
of which property of real numbers?
A) distributive
C) commutative
B) associative
D) identity
In interval notation, the set of all real numbers
greater than
and less than or equal to 14 is
represented by
A)
C)
B)
D)
7 Carrie bought new carpet for her living room.
She calculated the area of the living room to
be 174.2 square feet. The actual area was
149.6 square feet. What is the relative error
of the area to the nearest ten-thousandth?
A) 0.1412
C) 1.8588
B) 0.1644
D) 2.1644
The box-and-whisker plot below represents students'
scores on a recent English test.
What is the value of the first quartile?
A) 68
C) 84
B) 76
D) 94
4
Algebra R-L Final Exam Practice #1
Which statement is true about the data set
3, 4, 5, 6, 7, 7, 10?
A) mean = mode
C) mean = median
B) mean > mode
D) mean < median
8 How many different sandwiches consisting of
one type of cheese, one condiment, and one
bread choice can be prepared from five types of
cheese, two condiments, and three bread
choices?
A) 10
C) 15
B) 13
D) 30
9 The faces of a fair die are numbered 1 to 6. If the
die is rolled once, what is the probability of
rolling a number greater than 5?
A) 1
C)
6
5
6
Which set of data can be classified as qualitative?
A) scores of students in an algebra class
B) ages of students in a biology class
C) numbers of students in history classes
D) eye colors of students in an economics class
Which situation is an example of bivariate data?
A) the number of pizzas Eva eats during her years
in high school
B) the number of times Ana puts air in her bicycle
tires during the summer
C) the number of home runs Gabriel hits per game
and the number of hours he practices baseball
D) the number of hours Ethan studies for his
mathematics tests during the first half of the
school year
B) 3
D) 2
6
6
10 If x represents a number, which equation is a
correct translation of "Fifty less than 5 times a
number is 75"?
A) 5x = 75
C) 5x -50 = 75
B) 5x – 75 = 50
D) 50 – 5x = 75
11 What is the slope of the line that passes through the
points
and
?
A)
C)
B) 2
D)
Name:
12
13
14
15
What is the solution of the inequality
14x – 17 > 25?
A)
C)
B)
D)
Which ordered pair is a solution to the system of
equations
and
?
A)
C)
B)
D)
18
What are the vertex and axis of symmetry of the
parabola
?
A) x = -2, (-2, -11)
C) x = 2, (2, 5)
B) x = -2, (-2, -3)
D) x = 2, (2, 13)
20 What is the solution of the system of equations
and
?
A)
C)
B)
D)
21 Which value of x makes the expression
undefined?
A)
B) 2
C) 3
D)
Which equation represents a line parallel to the line
y = 5x - 2?
A)
C) y  5 x  3
1
B)
17
19
Which expression is equivalent to 64 – 25x2?
A) (5x – 8)(5x – 8)
C) (8 – 5x)(8 – 5x)
B) (5x – 8)(5x + 8)
D) (8 – 5x) (8 + 5x)
y
16
Algebra R-L Final Exam Practice #1
5
x2
1
y   x2
5
What is the sum of
A) 13x2 + 2x + 8
B) 13x2 + 5x - 2
D) y  5 x  3
and
C)
D)
22 Which expression represents
?
x2  5x  6
in
x2  4
simplest form?
A) x  3
C) x  6
x2
x3
x2
D) x  1
B)
x4
x4
Which expression represents (3x2y5)(4xy3)in
simplest form?
A)12x 2y15
C) 7xy2
3 8
B) 12x y
D) 7x2y8
What is
A)
B)
expressed in simplest radical form?
C)
D)
23 A rectangular prism shown has a length of 3.0 cm, a
width of 2.2 cm, and a height of 7.5 cm.
What is the surface area, in square centimeters?
A) 45.6
C) 78.0
B) 49.5
D) 91.2
Name:
Algebra R-L Final Exam Practice #1
24 The rectangle shown below has a diagonal of 18.4
cm and a width of 7 cm.
27 A tree casts a 25-foot shadow on a sunny day, as
shown in the diagram below.
To the nearest centimeter, what is the length, x, of
the rectangle?
A) 11
C) 20
B) 17
D) 25
If the angle of elevation from the tip of the shadow
to the top of the tree is 32°, what is the height of the
tree to the nearest tenth of a foot?
A) 13.2
C) 21.2
B) 15.6
D) 40.0
25 If the universal set is {pennies, nickels, dimes,
quarters}, what is the complement of the set
{nickels}?
A) { }
B) {pennies, quarters}
C) {pennies, dimes, quarters}
D) {pennies, nickels, dimes, quarters}
26 Which expression represents in
2 15
A)12x y
B) 12x3y8
14 x5 y10
simplest form?
2 x3 y 2
2
C) 7xy
D) 7x2y8
28 What are the roots of the equation
?
A) 5 and 3
C) -5 and 3
B) 5 and -3
D) -5 and -3
Name:
Algebra R-L Final Exam Practice #1
29 Which represents a function:
A)
C)
B)
D)
30 Which relation is not a function?
A) {(1, 2), (3, 2), (4, 2)}
B) {(2, 3), (4, 3), (9, 2)}
C) {(4, 5), (6, 7), (4, 8)}
D) {1, 2), (6, 8), (2, 4)}
31 The length of a rectangle is 3 inches more than its width. The area of the rectangle is 40 square
inches. What are the dimensions, in inches, of the rectangle?
3
2

?
2 x  3 3x  3
Explain in at least five sentences the steps needed to solve the above proportion.
32 Which value of x is the solution of
```
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