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MTH 60 Test 1 - Mathematics Exam for Spring Term 2007, Exams of Algebra

A mathematics test consisting of multiple-choice questions and problems. Students are required to find the value of arithmetic expressions, simplify algebraic expressions, identify numbers described in words, determine if given values are solutions to equations, and evaluate expressions at given values. The document also includes true or false statements about mathematical concepts.

Typology: Exams

Pre 2010

Uploaded on 08/18/2009

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MTH 60 โ€“ Test 1
Spring Term 2007 Name
Please read all directions carefully.
Please perform all scratch work in the provided scratch zones; points will never be
deducted for things written in the scratch zone. If you use any sort of electronic
calculating device while taking this test you will receive a score of 0 for the test.
1. Find the value of each arithmetic expression; write the value in the provided blank. To earn full
credit, fractional answers must be fully reduced (written in lowest terms). (2 points each)
a.
(
)
75+โˆ’
a.
b.
(
)
11 5โˆ’โˆ’
b.
c.
(
)
619โˆ’โˆ’โˆ’
c.
d. 728โˆ’+ d.
e.
(
)
69711 15 6โˆ’+ โˆ’ + +โˆ’ +
e.
f. 57
26
โˆ’+ f.
g.
13
58โˆ’ g.
h. 482รทโ‹… h.
i.
()()()
2
13 2โˆ’โˆ’ โˆ’ i.
The Scratch Zone
pf3
pf4
pf5
pf8
pf9

Partial preview of the text

Download MTH 60 Test 1 - Mathematics Exam for Spring Term 2007 and more Exams Algebra in PDF only on Docsity!

MTH 60 โ€“ Test 1 Spring Term 2007 Name

Please read all directions carefully.

Please perform all scratch work in the provided scratch zones; points will never be deducted for things written in the scratch zone. If you use any sort of electronic calculating device while taking this test you will receive a score of 0 for the test.

  1. Find the value of each arithmetic expression; write the value in the provided blank. To earn full credit, fractional answers must be fully reduced (written in lowest terms). (2 points each)

a. 7 + ( โˆ’ 5 ) a.

b. 11 โˆ’ ( โˆ’ 5 ) b.

c. โˆ’ 6 โˆ’ ( โˆ’ 19 ) c.

d. โˆ’ 7 + 28 d.

e. โˆ’ 6 + 9 โˆ’ 7 + 11 + ( โˆ’ 15 ) + 6 e.

f. 5 7 2 6

โˆ’ + f.

g. 5 โˆ’ 813 g.

h. 4 รท 8 โ‹… 2 h.

i. ( โˆ’ 1 )( โˆ’ 3 ) (^2 โˆ’ 2 ) i.

The Scratch Zone

  1. Completely simplify the expression 5 2โ‹… 2 โˆ’ 2 โˆ’ 7 + 3 carefully following the order of operations (^). To receive full credit you must show all relevant steps organized in a manner consistent with that illustrated and discussed in class. (6 points)

The Scratch Zone

  1. Determine if the given value is a solution to the given equation. To earn full credit you must show work consistent with that discussed and illustrated in class. (5 points each)

a. Is 7 a solution to the equation โˆ’ 4 โˆ’ x = โˆ’ 11?

b. Is โˆ’ 3 a solution to the equation 6 + 2 ( โˆ’ x )= x + 3?

The Scratch Zone

  1. Completely simplify each expression โ€“ write the simplified form in the provided blank. No other work need be shown. (2 points each)

a. Simplify 3.2 x + 7.8 x. a.

b. Simplify (^8) y โˆ’ 13 y. b.

c. Simplify 6 x + ( 3 โˆ’ 2 x ). c.

d. Simplify 4 ( 2 3 )

w +. d.

e. Simplify โˆ’ 3 ( x^2 โˆ’ 7 ). e.

f. Simplify 4 x^2 โˆ’ 8 x + 3 x. f.

g. Simplify โˆ’ โˆ’( 5 โˆ’ x ). g.

The scratch zone

  1. Evaluate each expression at the stated values. To earn full credit you must show work consistent with that discussed and illustrated in class. (5 points each)

a. Evaluate 1 2 y x

  • when 3 2

x = and 2 2

y =.

b. Evaluate a b^2 โˆ’ ( a + b )when a = โˆ’ 6 and b = 1.

The scratch zone

  1. If the given statement is true, circle T. If the statement is false, circle F. (1/2 point each)

T or F 3 + โŽกโŽฃ( โˆ’ 9 ) + ( โˆ’ 2 ) โŽคโŽฆ = โŽกโŽฃ 3 + ( โˆ’ 9 ) โŽคโŽฆ+ ( โˆ’ 2 )

T or F 3 โˆ’ (^) ( 9 โˆ’ (^2) ) = (^) ( 3 โˆ’ (^9) ) โˆ’ 2

T or F 81 is an integer.

T or F (^) โˆ’ 72 is an irrational number.

T or F 5 is an integer but not a rational number

T or F Every whole number is also a natural number.

T or F (^) 8.36 is a rational number.

T or F^ ฯ€

is an irrational number.

T or F Some real numbers are both rational and irrational.

T or F The opposite of any number is an integer.

T or F There are several numbers that are whole numbers but not natural numbers.

T or F โˆ’ 8 is both an integer and a real number.

T or F 4.

is a rational number.

T or F โˆ’ 4.66726672is both a rational number and a real number.

T or F Every whole number is also a rational number.

T or F 18 2

is a natural number.

T or F โˆ’ โˆ’( x )is never a negative number..

T or F x is always a positive number.