AnswersPre-Algebra - MA3119 A Distance LearningSolving Two-Step Equations

Solving Two-Step Equations — Unit test Answers

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1
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When evaluating for , the given value of 1 is substituted for what part of the expression?

Question illustration
A
the exponent
B
the constant
C
the variable
D
any numerical value
2
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Muriel translated the phrase below into an algebraic expression and then evaluated it for . the product of a number and 8Which of the following contains the correct expression and value?

Question illustration
A
8 + n = 12
Option A
B
StartFraction 8 Over n EndFraction = 2
Option B
C
8 n = 32
Option C
D
8 minus n = 4
Option D
3

Chris is checking to determine if the expressions and are equivalent. When , he correctly finds that both expressions have a value of 8. When , he correctly evaluates the first expression to find that .What is the value of the second expression when , and are the two expressions equivalent?

Question illustration
A
The value of the second expression is 8, so the expressions are equivalent.
B
The value of the second expression is 10, so the expressions are equivalent.
C
The value of the second expression is 12, so the expressions are not equivalent.
D
The value of the second expression is 16, so the expressions are not equivalent.
4

Which expression correctly represents “eight times the difference of four and a number”?

A
8 (n minus 4)
Option A
B
8 (4 minus n)
Option B
C
8 (n) minus 4
Option C
D
8 (4) minus n
Option D
5

What is the value of the expression when n = 12?

Question illustration
A
1
B
5
C
7
D
12
6

The length of a rectangle is 3 times its width. Write and evaluate an expression for the length of the rectangle. What is the length of the rectangle?

Question illustration
Answer not available
7

Which shows the list of numbers in order from least to greatest?, , , , –1

Question illustration
A
–1, , , ,
Option A
B
, , –1, ,
Option B
C
, –1, , ,
Option C
D
–1, , , ,
Option D
8

What is the best first step in solving ?

Question illustration
A
Add to both sides.
Option A
B
Subtract from both sides.
Option B
C
Multiply both sides by and reverse the inequality symbol.
Option C
D
Divide both sides by 10 and reverse the inequality symbol.
9

Kendra bought a gallon of milk and of a pound of oranges. If the gallon of milk cost $3.60 and she spent a total of $4.35, which equation can be used to determine x, the cost of a pound of oranges?

Question illustration
A
3.60 + StartFraction 5 over 6 EndFraction x = 4.35
Option A
B
4.35 + StartFraction 5 over 6 EndFraction x = 3.60
Option B
C
3.60 x + StartFraction 5 over 6 EndFraction = 4.35
Option C
D
4.35 x + StartFraction 5 over 6 EndFraction = 3.60
Option D
10

What is the value of the expression “three less than the quotient of ten and a number, increased by six” when n = 2?

A
2
B
Option
Option B
C
8
D
Option
Option D
11

According to the properties of inequality, when should the inequality symbol be reversed when solving a two-step inequality in the form below?

Question illustration
A
when a is positive
B
when a is negative
C
when b is positive
D
when b is negative
12

Ivan finished of his math homework problems and all 3 problems for his science homework before dinner. If he finished a total of 43 problems before dinner, what is the total number of math homework problems he was assigned?

Question illustration
A
50
B
52
C
54
D
55
13

Which description is paired with its correct expression?

A
two less than the quotient of a number cubed and four, increased by eight;
Option A
B
six times the difference of five and a number squared;
Option B
C
three more than the quotient of nine and a number cubed, decreased by two;
Option C
D
twice the difference of a number squared and three;
Option D
14

What is the solution to ?

Question illustration
A
x greater-than-or-equal-to negative 12
Option A
B
x greater-than-or-equal-to 12
Option B
C
x less-than-or-equal-to 12
Option C
D
x less-than-or-equal-to negative 12
Option D
15

Ahmed simplified the expression to .Which procedure can Ahmed follow to verify that he did the simplification process correctly?

Question illustration
A
Substitute 2 into each expression, and evaluate them.
B
Add to .
Option B
C
Substitute 1 into the first expression, substitute 2 into the second expression, and evaluate them.
D
Subtract from .
Option D

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