Download Algebra Chapter 1 Online Pretest Alg ch 1 Online Pretest

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Chapter 1 Test
Date:_______________________
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1
Write an algebraic expression for the phrase the sum of g and 3.
A
B
C
D
2
Write a word phrase for
A
B
C
D
3
3g
3g + 3
g 3
g+3
.
negative 5 minus 4 plus a number n
negative 5 minus 4 times a number n
4 times a number n minus 5
5 minus 4 times a number n
Evaluate the expression 9(a + 2b) + c for a = –3, b = –2, and c = 1.
A
B
C
D
–62
–91
46
64
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Chapter 1 Test
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4
Crates of old vinyl records are stacked on top of each other on a desk. The table below
shows how the height above the floor of the topmost crate depends on the number of
crates. What is a rule for the height? Give the rule in words and as an algebraic
expression.
Number of Crates
Height (in.)
2
(10 • 2) + 43
3
(10 • 3) + 43
4
(10 • 4) + 43
n
?
A
B
C
D
5
The height above the floor, in inches, of the stack of crates is the sum of 43 and
10 times the number of crates, n. An algebraic expression for this rule is 43(10 +
n).
The height above the floor, in inches, of the stack of crates is the product of 43
and 10 plus the number of crates, n. An algebraic expression for this rule is 43(10
+ n).
The height above the floor, in inches, of the stack of crates is the sum of 43 and
10 times the number of crates, n. An algebraic expression for this rule is 10n + 43.
The height above the floor, in inches, of the stack of crates is the product of 43
and 10 plus the number of crates, n. An algebraic expression for this rule is 10n +
43.
Simplify the expression.
(10 ÷ 5) · 3
A
B
C
D
1.5
5
6
15
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Chapter 1 Test
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6
Simplify the expression.
A
B
C
D
7
Simplify the expression.
,
A
B
C
D
8
Simplify the expression.
|
|
A
B
C
D
9
6
5.7
Simplify the expression.
A
B
C
D
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Chapter 1 Test
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10
Is the statement true or false? If false, give a counterexample.
For all real numbers a, b and c,
A
B
C
D
11
true
false; a(b + c) = ab – ac
false; if a = b = c = 1, then 1(1 + 1) 1(1) + 1(1)
false; if a = 1, b = 2, and c = 3, then 1(2 + 3) 1(2) + 2(3)
Is the ordered pair (6, 5) a solution to the equation
A
B
C
D
12
.
? Explain.
yes;
yes;
no;
no;
Which group of numbers is ordered from least to greatest?
A
, –0.9, –3
B
–3, –0.9,
C
–0.9, , –3
D
, –3, –0.9
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Chapter 1 Test
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13
Ms. Hader split her class up into n debate teams. Each team has 4 students. Choose the
graph that describes the total number of students, s, in Ms. Hader’s class. If there are 9
teams, how many students are in the class?
A
There are 40 students in the class.
B
There are 22 students in the class.
C
There are 36 students in the class.
D
There are 18 students in the class.
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Chapter 1 Test
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14
Simplify the expression.
–(–x)3 – x3
A
B
C
D
15
–4x3
–2x3
2x3
0
Simplify the expression.
A
B
C
D
16
Simplify the expression.
–(–5 + 4m)
A
B
C
D
17
5 – 4m
5 + 4m
–5 – 4m
–5 + 4m
Simplify the expression.
–9(4 – 3j)
A
B
C
D
36 – 27j
36 + 27j
–36 + 27j
36 + j
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Chapter 1 Test
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18
Name the subset(s) of real numbers to which the number belongs.
–1.57
A
B
C
D
19
Name the subset(s) of real numbers to which the number belongs.
A
B
C
D
20
rational only
rational and irrational
irrational only
rational and integer
Which property does 3(17) = 3(20) – 3(3) illustrate?
A
B
C
D
21
integer only
rational only
irrational and rational
rational and integer
Associative Property of Multiplication
Commutative Property of Multiplication
Distributive Property
Identity Property of Multiplication
Is the set of whole numbers the same as the set of positive integers? Explain.
A
B
C
D
No; the set of positive integers includes 0 but the set of whole numbers does not.
Yes; both sets start at 1 and continue into infinity.
No; the set of whole numbers includes 0 but the set of positive integers does not.
Yes; both sets start at 0 and continue into infinity.
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Chapter 1 Test
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22
Find and correct the error in the work shown below.
A
B
C
D
23
The student multiplied 3 by 8 before adding 7. The correct answer should be 23.
The student subtracted 8 and 4 before dividing by 2. The correct answer should
be 27.
The student added 8 and 4 before dividing by 2. The correct answer should be
27.
The student added 7 and 3 before multiplying by 8. The correct answer should be
23.
Which of the following expressions simplifies to
numbers?
, where a, b, c and d are real
A
B
C
D
24
Determine whether the following is an example of inductive or deductive reasoning.
Explain.
Consider the statement: For all real numbers a and b,
.
This statement is false, because for a = 3 and b = 5,
, whereas
. Since
,
for all real numbers a and b.
A
B
C
D
25
Deductive reasoning; the conclusion was found logically from the given facts.
Inductive reasoning; the conclusion was found logically from the given facts.
Deductive reasoning; the conclusion was found by generalizing observations.
Inductive reasoning; the conclusion was found by generalizing observations.
Is the statement “The absolute value of a number is always greater than its opposite” true?
A
B
C
D
Yes; absolute value is always positive.
Yes; all positive numbers are greater than their opposites.
No; the absolute value of a negative number is equal to its opposite.
No; all negative numbers are greater than their opposites.
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Chapter 1 Test
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