Sample/Practice Final Exam MAT 095 Beginning Algebra

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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Evaluate the expression.

1) 25 - [ 5 - ( 3 - 8)] + ( 1 - 3 ) 3 1)
A) -23 B) 33 C) 7 D) 23

(-8) ∙ (4 - 7) + (-8) ∙ 6
2) 2)
(-8) ∙ (7 - 3)
3 198
A) B) 0 C) D) 2
4 53

Perform the indicated operation.

-13(-4) - (-4)(-3)
3) 3)
-6(2) - 4(-2)
A) -10 B) -2 C) 16 D) 10

Evaluate the expression for the given replacement values.

4) x2 + y2 when x = 8 and y = -3 4)
A) 73 B) 48 C) 576 D) 22

Evaluate the expression for the given values.

5x + 12y
5) for x = 9, y = -5 5)
x-6
A) 5 B) -5 C) 35 D) 1

Evaluate the expression, given x = -2, y = 3, and a = -4.

5a 2 - y
6) 6)
x+2
83 77
A) 0 B) - C) D) Undefined
4 4

Identify the property illustrated by the statement.

7) (9 + 2) + 7 = (2 + 9) + 7 7)
A) associative property of addition B) distributive property
C) commutative property of addition D) additive inverse property

8) 3(x + 3) = 3x + 3 ∙ 3 8)
A) commutative property of addition B) identity element for multiplication
C) associative property of multiplication D) distributive property

9) 2 + (-2) = 0 9)
A) identity element for addition B) additive inverse property
C) commutative property of addition D) associative property of addition

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Remove parentheses and simplify the expression.
10) -4(9r + 10) + 5(10r + 7) 10)
A) 14r - 5 B) -76r C) 14r + 10 D) 5r + 6

11) (7z + 12) - (2z - 8) 11)

A) 5z - 20 B) 5z + 4 C) 5z + 20 D) 9z + 20

12) -5(2x - 7) - 4x + 10 12)

A) 14x + 45 B) 6x + 45 C) -14x - 25 D) -14x + 45

Solve the equation.

13) 7x - (6x - 1) = 2 13)
1 1
A) - 1 B) C) 1 D) -
13 13

14) 3p = 6(3p + 2) 14)

4 5 4
A) B) 4 C) D) -
5 4 5

15) -5x + 5(3x - 7) = -19 - 6x 15)

27 27
A) 1 B) - C) - D) - 1
2 8

2x x
16) - =2 16)
5 3
A) 60 B) -30 C) -60 D) 30

3 1 7
17) x+ = x 17)
2 5 5
A) 2 B) -2 C) 16 D) -16

12 1 2
18) x- x=x- 18)
7 21 3
2 6
A) B) - C) 0 D) -1
21 7

19) -0.2(30) + 0.5x = 0.2(30 + x) 19)

A) 20 B) 30 C) 40 D) 50

Solve.
20) You have taken up gardening for relaxation and have decided to fence in your new rectangular 20)
shaped masterpiece. The length of the garden is 2 meters and 20 meters of fencing is required to
completely enclose it. What is the width of the garden?
A) 8 m B) 16 m C) 10 m D) 40 m

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21) Use the formula F = C + 32 to write -10° C as degrees Fahrenheit. 21)
5
A) -23.4° F B) 14° F C) -50° F D) 12.2° F

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Substitute the given values into the formula and solve for the unknown variable.
22) P = 2L + 2W; P = 12, W = 4 22)
A) 2 B) 6 C) 8 D) 4

23) I = prt; I = 9.1, p = 130, r = 0.01 23)

A) 0.7 B) 7 C) 11.83 D) 0.1183

Solve the equation for the indicated variable.

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24) A = bh for h 24)
2
2A Ab b A
A) h = B) h = C) h = D) h =
b 2 2A 2b

25) P = a + b + c for c 25)

A) c = a + b - P B) c = P - a - b C) c = P + a - b D) c = P + a + b

26) A = P + PRT for R 26)

PT A A- P P-A
A) R = B) R = C) R = D) R =
A- P T PT PT

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27) V = Ah for h 27)
3
3A A V 3V
A) h = B) h = C) h = D) h =
V 3V 3A A

Solve the inequality.

28) -4x + 9 ≥ -5x + 14 28)

A) {x x ≤ 5}

2 3 4 5 6 7 8

B) {x x < -4}

-7 -6 -5 -4 -3 -2 -1

C) {x x > -4}

-7 -6 -5 -4 -3 -2 -1

D) {x x ≥ 5}

2 3 4 5 6 7 8

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 29) -5(5y - 7) < -30y - 5 29)

A) {y y > -8}

-11 -10 -9 -8 -7 -6 -5

B) {y y < -8}

-11 -10 -9 -8 -7 -6 -5

C) {y y ≥ -8}

-11 -10 -9 -8 -7 -6 -5

D) {y y ≤ -8}

-11 -10 -9 -8 -7 -6 -5

30) -9x - 21 ≤ -3(2x + 15) 30)

A) {x x ≥ 8}

5 6 7 8 9 10 11

B) {x x < 8}

5 6 7 8 9 10 11

C) {x x > 8}

5 6 7 8 9 10 11

D) {x x ≤ 8}

5 6 7 8 9 10 11

Use the product rule to simplify. Write the results using exponents.
31) 27 ∙ 25 31)
A) 2 12 B) 4 35 C) 2 35 D) 4 12

32) (3p6 )(9p2 ) 32)

A) -27p12 B) -27p8 C) 27p12 D) 27p8

Use the power rule and the power of a product or quotient rule to simplify the expression.
33) (8x6 y3z)2 33)
A) 16x12y6 z2 B) 8x12y6 z 2 C) -8x8 y5 z D) 64x12y6 z 2

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 34) (-7x7 y9 z)3 34)
A) -343x21y27z 3 B) -21x22y28z 4 C) -343x7 y9 z D) 343x10y12z

2p4 v3 2
35) 35)
s4
4p8 v6 2p8 v6 2p8 v6 4p6 v5
A) B) C) D)
s8 s8 s6 s6

Simplify the expression. Write the result using positive exponents only.
36) 4-3 36)
1 1
A) -64 B) C) D) 64
64 12

37) (3x3 )2 (2x)-2 37)

27x4 9x4 9x8
A) B) C) D) 6x4
4 4 4

Write the number in scientific notation.

38) 640,000 38)
A) 6.4 × 10-6 B) 6.4 × 10-5 C) 6.4 × 106 D) 6.4 × 105

39) 0.000668 39)

A) 6.68 × 10-5 B) 6.68 × 10-4 C) 6.68 × 104 D) 6.68 × 10-3

Write the number in standard notation.

40) 3.911 × 10-5 40)
A) 0.00003911 B) -391,100 C) 0.0003911 D) 0.000003911

41) 6.8594 × 106 41)

A) 68,594,000 B) 685,940 C) 6,859,400 D) 411.564

Add the polynomials.

42) (7x6 - 9x3 + 6) + (3x6 + 7x3 - 5) 42)
A) 10x6 - 2x3 + 1 B) 9x9 C) 10 - 2x6 + 1x3 D) 9x6 + 14x3 - 14

Perform the indicated operations.

43) (-4x4 + 8x6 + 8 + 6x5 ) - (-9 + 2x5 + 6x6 + 9x4 ) 43)
A) 2x6 + 8x5 + 5x4 - 1 B) 14x6 + 8x5 + 5x4 - 1
C) 14x6 + 8x5 + 5x4 + 17 D) 2x6 + 4x5 - 13x4 + 17

44) (8x9 + 6x7 - 7x3 + 2) - (2x9 - 7x5 + 6x3 - 9) 44)

A) 6x9 + 6x7 - 7x5 - 13x3 + 11 B) 6x9 + 6x7 + 7x5 - 13x3 + 11
C) -6x9 + 6x7 - 7x5 - 13x3 + 11 D) -6x9 + 6x7 + 7x5 - 13x3 + 11

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Multiply.
45) -7x7 (-12x6 - 3x2 + 7) 45)
A) 84x13 - 3x2 + 7 B) 84x6 + 21x2 - 49
C) 84x13 + 21x9 - 49x7 D) 84x13 + 21x9

Find the product.

46) (y - 9)(y2 + 9y - 3) 46)
A) y3 + 78y - 27 B) y3 - 84y + 27
C) y3 - 18y2 - 84y + 27 D) y3 + 18y2 + 84y - 27

47) (6z - 7)(3z + 2) 47)

A) 18z 2 - 14 B) 9z 2 - 5 C) 18z 2 - 9z - 14 D) 18z 2 + 33z - 14

48) (4x - 7)2 48)

A) 4x2 + 49 B) 16x2 + 49 C) 16x2 - 56x + 49 D) 4x2 - 56x + 49

Multiply.
49) (11p + 8)(11p - 8) 49)
A) 121p2 - 64 B) 121p2 + 176p - 64
C) 121p2 - 176p - 64 D) p2 - 64

50) (2x + 11y) 2 50)

A) 2x2 + 44xy + 121y2 B) 2x2 + 121y2
C) 4x2 + 121y2 D) 4x2 + 44xy + 121y2

Perform the division.

-32x5 + 24x4 - 56x3
51) 51)
-8x4
7 7
A) 4x - 3 B) 4x - 3 + C) 4x + 24x4 + D) 11x - 3
x x

x2 + 8x + 15
52) 52)
x+3
A) x3 - 12 B) x2 + 5 C) x - 12 D) x + 5

p2 + 2p - 17
53) 53)
p+6
7 4 7
A) p - 4 + B) p - 7 + C) p - 4 D) p + 4 +
p+6 p+6 p+6

3m3 + 2m2 - 4m + 8
54) 54)
m+2
A) m2 + 5m + 6 B) 3m 2 - 4m + 4 C) 3m2 + 4m + 4 D) m 2 + 4m + 3

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Complete the ordered pairs for the given linear equation. Then plot the points and graph the equation by connecting
the points.
55) y = -4x + 3 55)
(0, ), (1, ), (-1, )
y
10

-10 -5 5 10 x

-5

-10

A) (0, 3), (1, 7), (-1, -1) B) (0, -3), (1, -7), (-1, 1)
y y
10

5
5

-10 -5 5 10 x -5 5 x

-5
-5

-10

C) (0, 0), (1, -3), (-1, 3) D) (0, 3), (1, -1), (-1, 7)
y y
10 10

5 5

-10 -5 5 10 x -10 -5 5 10 x

-5 -5

-10 -10

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56) 6x + 5y = 0 56)
(-5, ), (0, ), (5, )
y
10

-10 -5 5 10 x

-5

-10

A) (-5, -6), (0, 0), (5, 6) B) (-5, -7), (0, -1), (5, 5)
y y
10 10

5 5

-10 -5 5 10 x -10 -5 5 10 x

-5 -5

-10 -10

C) (-5, 6), (0, 0), (5, -6) D) (-5, 7), (0, 1), (5, -5)
y y
10 10

5 5

-10 -5 5 10 x -10 -5 5 10 x

-5 -5

-10 -10

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Graph the linear equation.
57) -x - 3y = -9 57)
y
10

-10 -5 5 10 x

-5

-10

A) B)
y y
10 10

5 5

-10 -5 5 10 x -10 -5 5 10 x

-5 -5

-10 -10

C) D)
y y
10 10

5 5

-10 -5 5 10 x -10 -5 5 10 x

-5 -5

-10 -10

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Find and graph the intercepts of the linear equation.
58) -4x - 16y = 16 58)

A) (0, -4), (-1, 0) B) (0, -1), (-4, 0)

y y
10 10

5 5

-10 -5 5 10 x -10 -5 5 10 x

-5 -5

-10 -10

C) (0, 4), (-1, 0) D) (0, -1), (4, 0)

y y
10 10

5 5

-10 -5 5 10 x -10 -5 5 10 x

-5 -5

-10 -10

Convert the units.

59) 49.57 m = mm 59)
A) 4957 mm B) 49,570 mm C) 0.496 mm D) 0.0496 mm

60) 939 cm = m 60)

A) 93.90 m B) 9390 m C) 9.39 m D) 93,900 m

61) 850 mg = kg 61)

A) 850,000 kg B) 0.085 kg C) 85,000 kg D) 0.00085 kg

62) 678 mL = L 62)

A) 6.78 L B) 678,000 L C) 67,800 L D) 0.678 L

63) 47 kg = g 63)
A) 0.047 g B) 0.47 g C) 47,000 g D) 4700 g

64) 21 m = cm 64)
A) 21,000 cm B) 0.21 cm C) 0.021 cm D) 2100 cm

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Answer Key
Testname: MAT 095 PRACTICE FINAL EXAM NEW

1) C
Objective: (1.6) Evaluate Expressions Using Real Numbers
2) A
Objective: (1.6) Evaluate Expressions Using Real Numbers
3) A
Objective: (1.6) Use Order of Operations to Simplify Expression
4) A
Objective: (1.10) Chapter Test
5) B
Objective: (1.6) Evaluate Expressions Using Real Numbers
6) D
Objective: (1.6) Evaluate Expression
7) C
Objective: (1.7) Use the Identity and Inverse Properties
8) D
Objective: (1.7) Use the Identity and Inverse Properties
9) B
Objective: (1.7) Use the Identity and Inverse Properties
10) A
Objective: (1.8) Simplify Expressions Containing Parentheses
11) C
Objective: (1.8) Simplify Expressions Containing Parentheses
12) D
Objective: (1.8) Simplify Expressions Containing Parentheses
13) C
Objective: (2.3) Apply the General Strategy for Solving a Linear Equation
14) D
Objective: (2.3) Apply the General Strategy for Solving a Linear Equation
15) A
Objective: (2.3) Apply the General Strategy for Solving a Linear Equation
16) D
Objective: (2.3) Solve Equations Containing Fractions or Decimals
17) B
Objective: (2.3) Solve Equations Containing Fractions or Decimals
18) D
Objective: (2.3) Solve Equation with Fractions
19) C
Objective: (2.3) Solve Equation with Decimals
20) A
Objective: (2.5) Use Formulas to Solve Problems
21) B
Objective: (2.5) Use Formulas to Solve Problems
22) A
Objective: (2.5) Solve a Formula or Equation for One of Its Variables
23) B
Objective: (2.5) Solve a Formula or Equation for One of Its Variables

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Answer Key
Testname: MAT 095 PRACTICE FINAL EXAM NEW

24) A
Objective: (2.5) Solve a Formula or Equation for One of Its Variables
25) B
Objective: (2.5) Solve a Formula or Equation for One of Its Variables
26) C
Objective: (2.5) Solve a Formula or Equation for One of Its Variables
27) D
Objective: (2.5) Solve a Formula or Equation for One of Its Variables
28) D
Objective: (2.7) Use the Addition Property of Inequality to Solve Inequalities
29) B
Objective: (2.7) Use Both Properties to Solve Inequalities
30) A
Objective: (2.7) Use Both Properties to Solve Inequalities
31) A
Objective: (3.1) Use the Product Rule for Exponents
32) D
Objective: (3.1) Use the Product Rule for Exponents
33) D
Objective: (3.1) Use the Power Rules for Products and Quotients
34) A
Objective: (3.1) Use the Power Rules for Products and Quotients
35) A
Objective: (3.1) Use the Power Rules for Products and Quotients
36) B
Objective: (3.2) Simplify Expressions Containing Negative Exponents
37) B
Objective: (3.2) Use the Rules and Definitions for Exponents to Simplify Exponential Expressions
38) D
Objective: (3.2) Write Numbers in Scientific Notation
39) B
Objective: (3.2) Write Numbers in Scientific Notation
40) A
Objective: (3.2) Convert Numbers in Scientific Notation to Standard Form
41) C
Objective: (3.2) Convert Numbers in Scientific Notation to Standard Form
42) A
Objective: (3.4) Add Polynomials
43) D
Objective: (3.4) Add or Subtract Polynomials in One Variable
44) B
Objective: (3.4) Add or Subtract Polynomials in One Variable
45) C
Objective: (3.5) Multiply a Monomial by a Polynomial
46) B
Objective: (3.5) Multiply Two Polynomials

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Answer Key
Testname: MAT 095 PRACTICE FINAL EXAM NEW

47) C
Objective: (3.5) Multiply Two Polynomials
48) C
Objective: (3.5) Multiply Two Polynomials
49) A
Objective: (3.6) Multiply the Sum and Difference of Two Terms
50) D
Objective: (3.6) Square a Binomial
51) B
Objective: (3.7) Divide a Polynomial by a Monomial
52) D
Objective: (3.7) Use Long Division to Divide a Polynomial by a Polynomial Other than a Monomial
53) A
Objective: (3.7) Use Long Division to Divide a Polynomial by a Polynomial Other than a Monomial
54) B
Objective: (3.7) Use Long Division to Divide a Polynomial by a Polynomial Other than a Monomial
55) D
Objective: (6.2) Graph a Linear Equation by Finding and Plotting Ordered Pair Solutions
56) C
Objective: (6.2) Graph a Linear Equation by Finding and Plotting Ordered Pair Solutions
57) D
Objective: (6.2) Graph a Linear Equation by Finding and Plotting Ordered Pair Solutions
58) B
Objective: (6.3) Graph a Linear Equation by Finding and Plotting Intercept Points
59) B
Objective: (7.2) Convert Metric Length Units
60) C
Objective: (7.2) Convert Metric Length Units
61) D
Objective: (7.3) Convert Metric Mass Units
62) D
Objective: (7.3) Convert Metric Capacity Units
63) C
Objective: (7.3) Convert Metric Mass Units
64) D
Objective: (7.2) Convert Metric Length Units

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