Name: ______________________
Class: _________________
Date: _________
ID: B
Liberal Arts Midterm Exam
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Which ordered pair is a solution of the equation y = 9x + 10?
a. (–8, 44)
c. (–5, –36)
b. (6, 55)
d. (–7, –53)
Simplify each expression.
____
____
2.
7gs
−8s
a.
−7g
8
c.
7
8
b.
−7s
8
d.
−8g
s
7
3. Each unit on the map represents 5 miles. What is the actual distance from Oceanfront to Seaside?
a.
b.
about 10 miles
about 50 miles
c.
d.
about 8 miles
about 40 miles
c.
39
What is the solution of the equation?
____
4.
b +6
= 15
3
a. –1
b.
51
1
d.
11
Name: ______________________
ID: B
What is the simplified form of each expression?
____
____
____
ÊÁ 3
5. ÁÁÁÁ
ÁË 8
ˆ˜ 5
˜˜
˜˜
˜¯
a.
33011
c.
b.
7962624
d.
243
32768
32768
243
2
6. (0.4)
a. 0.4
b. 0.064
c.
d.
1.31951
0.16
7. A scale model of a city has scale of 1 cm : 3.5 km. Two buildings in the model are 2.2 cm apart. To the
nearest tenth of a kilometer, what is the actual distance between the buildings in the city?
a. 9.9 km
b. 25.2 km
c. 11.2 km
d. 7.7 km
Write the fraction in simplest form.
____
8.
136
280
a.
____
16
36
b.
17
36
c.
17
35
d.
16
35
9. A cylinder has a volume of 19 cm3 . If the radius is doubled, what is the volume of the new cylinder?
a. 38 cm3
b. 304 cm3
c. 152 cm3
d. 76 cm3
Simplify.
2
____ 10. (−16)
a. 32
b.
256
c.
–256
d.
–32
c.
d.
no solution
infinitely many solutions
What is the solution of each equation?
____ 11. 2(h − 7) − h = h − 14
a. 7
b. −7
2
Name: ______________________
ID: B
____ 12. Which number line model can you use to simplify 6 + 1?
a.
-6 + 1 = –5
b.
-6 + 1 = –5
c.
6-1=5
d.
6+1=7
What is the solution of the equation?
____ 13. 2 ( −8x − 4 ) = −8 ( 5x − 5 )
a. 2
b.
–2
c.
1
d.
3
____ 14. A souvenir maker wants to create a scale model of the Eiffel Tower. The Eiffel Tower is 324 meters tall
and has a base with dimensions 125 meters by 125 meters. The model will rest on a base with dimensions
9 cm by 9 cm. How tall will the model be in centimeters?
a. 28.80 cm
c. 23.33 cm
b. 0.29 cm
d. 0.233 cm
3
Name: ______________________
ID: B
____ 15. Mike and his best friend Dan have the same birthday, but Mike is 5 years older than Dan. Let the variable
x represent Mike’s age and y represent Dan’s age. Which graph represents the relationship between
Dan’s age and Mike’s age?
a.
c.
b.
d.
____ 16. Is (6, 23) a solution of the equation y = 4x?
a. yes
b.
no
What property is illustrated by each statement?
____ 17. 2 + 8.6 = 8.6 + 2
a. Inverse Property of Addition
b. Associative Property of Addition
c. Inverse Property of Multiplication
d. Commutative Property of Addition
What is the solution of the proportion?
____ 18.
14
d
=
18
36
a. 504
b. 28
c.
d.
4
252
648
Name: ______________________
ID: B
What is the solution of each equation? Use mental math.
____ 19. x + 9 = 15?
a. 8
b. 6
c.
d.
5
7
____ 20. Martha has 70 feet of fencing to make a rectangular vegetable garden. Which dimensions will give
Martha the garden with greatest area? The diagrams are not to scale.
a.
c.
b.
d.
5
Name: ______________________
ID: B
____ 21. When the net is folded into the rectangular prism shown beside it, which letters will be on the front and
bottom of the rectangular prism?
a.
The letter on the front will be C.
The letter on the bottom will be A.
b.
The letter on the front will be D.
The letter on the bottom will be C.
c.
The letter on the front will be D.
The letter on the bottom will be A.
d.
The letter on the front will be C.
The letter on the bottom will be D.
____ 22. Is x = 2 a solution of the equation 3 – 2x = 1?
a. no
b.
yes
What is the solution of the equation?
____ 23. 7.6 = 4s
a. 2.1
1
b.
4
____ 24. Is 59 prime or composite?
a. composite
c.
7.6
d.
1.9
b.
prime
c.
0
What is the solution of the equation?
____ 25. −9 = −9p − 9 + 10p
a. –18
b.
0
6
d.
–9
Name: ______________________
ID: B
____ 26. The table shows the relationship between the number of white triangles and the total number of square
tiles in each figure. Complete the table and extend the pattern. What is the total number of white
triangles in a figure with 6 tiles?
Number of
square tiles
(s)
1
2
3
4
5
a.
b.
Number of
white
triangles (t)
2
10
24
c.
d.
8
12
my
for y?
w
w(ty − ym)
y=−
m
w(ty − ym)
y=
m
____ 27. What equation do you get when you solve ty − ym =
a.
b.
ymw
tw − m
ymw
y=
tw − m
y=−
c.
d.
What is the simplified form of each expression?
____ 28. 8(3 + 7) ÷ (5 − 3)
a. 13
b.
22
c.
7
40
d.
27
ID: B
Liberal Arts Midterm Exam
Answer Section
MULTIPLE CHOICE
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7. ANS:
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8. ANS:
OBJ:
KEY:
9. ANS:
OBJ:
KEY:
D
PTS: 1
DIF: L3
1-9 Patterns, Equations, and Graphs
1-9.1 To use tables, equations, and graphs to describe relationships
1-9 Problem 1 Identifying Solutions of a Two-Variable Equation
solution of an equation
DOK: DOK 1
D
PTS: 1
DIF: L3
REF: 1-4 Properties of Real Numbers
1-4.1 To identify and use properties of real numbers
STA: MA.912.A.3.2
1-4 Problem 3 Writing Equivalent Expressions
KEY: equivalent expressions
DOK 1
D
PTS: 1
DIF: L3
1-7 Midpoint and Distance in the Coordinate Plane
1-7.2 Find the distance between two points in the coordinate plane
MA.912.G.1.1
TOP: 1-7 Problem 4 Finding Distance
coordinate plane | Distance Formula | word problem | problem solving
DOK 2
C
PTS: 1
DIF: L3
REF: 2-2 Solving Two-Step Equations
2-2.1 To solve two-step equations in one variable
STA: MA.912.A.3.1
2-2 Problem 3 Solving With Two Terms in the Numerator
DOK 1
C
PTS: 1
DIF: L3
1-2 Order of Operations and Evaluating Expressions
1-2.1 To simplify expressions involving exponents
TOP: 1-2 Problem 1 Simplifying Powers
power | exponent | base | simplify | evaluate
DOK: DOK 1
D
PTS: 1
DIF: L3
1-2 Order of Operations and Evaluating Expressions
1-2.1 To simplify expressions involving exponents
TOP: 1-2 Problem 1 Simplifying Powers
power | exponent | base | simplify | evaluate
DOK: DOK 1
D
PTS: 1
DIF: L3
2-8 Proportions and Similar Figures
2-8.2 To use similar figures when measuring indirectly STA: MA.912.A.5.4
2-8 Problem 4 Using Scale Models
KEY: similar figures | scale | scale model
DOK 2
C
PTS: 1
DIF: L3
REF: 0-4 Simplifying Fractions
Simplifying Fractions
TOP: Skills Handbook: Simplifying Fractions
fractions | equivalent fractions | simplest form
DOK: DOK 1
D
PTS: 1
DIF: L4
REF: 0-10 Perimeter, Area, and Volume
Perimeter, Area, and Volume
TOP: Skills Handbook: Perimeter, Area, and Volume
cylinder | volume | change in dimensions
DOK: DOK 2
1
ID: B
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KEY:
19. ANS:
OBJ:
TOP:
DOK:
B
PTS: 1
DIF: L3
0-6 Squaring Numbers and Finding Square Roots
Squaring Numbers and Finding Square Roots
Skills Handbook: Squaring Numbers and Finding Square Roots
squaring numbers | negative numbers
DOK: DOK 1
D
PTS: 1
DIF: L3
2-4 Solving Equations With Variables on Both Sides
2-4.2 To identify equations that are identities or have no solution
MA.912.A.3.1| MA.912.A.3.2| MA.912.A.10.3
2-4 Problem 4 Identities and Equations With No Solution
identity
DOK: DOK 1
D
PTS: 1
DIF: L3
1-5 Adding and Subtracting Real Numbers
1-5.1 To find sums and differences of real numbers
1-5 Problem 1 Using Number Line Models
KEY: opposites | additive inverses
DOK 1
A
PTS: 1
DIF: L3
2-4 Solving Equations With Variables on Both Sides
2-4.1 To solve equations with variables on both sides
MA.912.A.3.1| MA.912.A.3.2| MA.912.A.10.3
2-4 Problem 3 Solving an Equation With Grouping Symbols
DOK 1
C
PTS: 1
DIF: L4
REF: 1-8 An Introduction to Equations
1-8.1 To solve equations using tables and mental math
1-8 Problem 3 Writing an Equation
equation | solution of an equation DOK: DOK 2
C
PTS: 1
DIF: L4
1-9 Patterns, Equations, and Graphs
1-9.1 To use tables, equations, and graphs to describe relationships
1-9 Problem 2 Using a Table, an Equation, and a Graph
inductive reasoning
DOK: DOK 2
B
PTS: 1
DIF: L3
1-9 Patterns, Equations, and Graphs
1-9.1 To use tables, equations, and graphs to describe relationships
1-9 Problem 1 Identifying Solutions of a Two-Variable Equation
solution of an equation
DOK: DOK 1
D
PTS: 1
DIF: L3
REF: 1-4 Properties of Real Numbers
1-4.1 To identify and use properties of real numbers
STA: MA.912.A.3.2
1-4 Problem 1 Identifying Properties
KEY: equivalent expressions
DOK 2
B
PTS: 1
DIF: L2
REF: 2-7 Solving Proportions
2-7.1 To solve and apply proportions
STA: MA.912.A.5.4
2-7 Problem 1 Solving a Proportion Using the Multiplication Property
proportion DOK: DOK 1
B
PTS: 1
DIF: L3
REF: 1-8 An Introduction to Equations
1-8.1 To solve equations using tables and mental math
1-8 Problem 4 Using Mental Math to Find Solutions
KEY: equation | solution of an equation
DOK 1
2
ID: B
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28. ANS:
REF:
OBJ:
TOP:
KEY:
A
PTS: 1
DIF: L3
1-8 Perimeter, Circumference, and Area
1-8.1 Find the perimeter or circumference of basic shapes
MA.912.G.2.5| MA.912.G.6.5
TOP: 1-8 Problem 4 Finding Area of a Rectangle
rectangle | area | word problem | problem solving
DOK: DOK 2
D
PTS: 1
DIF: L2
1-1 Nets and Drawings for Visualizing Geometry
1-1.1 Make nets and drawings of three-dimensional figures
MA.912.G.7.1
TOP: 1-1 Problem 1 Identifying a Solid From a Net
nets of space figures | net
DOK: DOK 2
A
PTS: 1
DIF: L3
REF: 1-8 An Introduction to Equations
1-8.1 To solve equations using tables and mental math
1-8 Problem 2 Identifying Solutions of an Equation
KEY: solution of an equation
DOK 1
D
PTS: 1
DIF: L2
REF: 2-1 Solving One-Step Equations
2-1.1 To solve one-step equations in one variable
STA: MA.912.A.3.2
2-1 Problem 3 Solving an Equation Using Division
Division Property of Equality | equivalent equations | isolate | inverse operations
DOK 1
B
PTS: 1
DIF: L3
0-1 Prime Numbers and Composite Numbers
Prime Numbers and Composite Numbers
Skills Handbook: Prime Numbers and Composite Numbers
prime numbers | composite numbers
DOK: DOK 1
B
PTS: 1
DIF: L3
REF: 2-3 Solving Multi-Step Equations
2-3.1 To solve multi-step equations in one variable
STA: MA.912.A.3.1| MA.912.A.3.5
2-3 Problem 1 Combining Like Terms
DOK: DOK 1
B
PTS: 1
DIF: L3
1-9 Patterns, Equations, and Graphs
1-9.1 To use tables, equations, and graphs to describe relationships
1-9 Problem 3 Extending a Pattern
KEY: inductive reasoning
DOK 2
B
PTS: 1
DIF: L4
2-5 Literal Equations and Formulas
2-5.1 To rewrite and use literal equations and formulas STA: MA.912.A.3.3
2-5 Problem 2 Rewriting a Literal Equation With Only Variables
literal equation
DOK: DOK 2
C
PTS: 1
DIF: L3
1-2 Order of Operations and Evaluating Expressions
1-2.2 To use the order of operations to evaluate expressions
1-2 Problem 2 Simplifying a Numerical Expression
power | exponent | base | simplify | evaluate
DOK: DOK 1
3