AnswersPre-Algebra A-CRWriting and Evaluating Expressions

Writing and Evaluating Expressions Answers

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Which algebraic expression represents “the quotient of 7 and a number”?

A
StartFraction 7 Over n EndFraction
Option A
B
7 + n
Option B
C
7 n
Option C
D
7 minus n
Option D
2
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Which algebraic expression represents “the difference of 54 and a number”?

A
54 minus n
Option A
B
StartFraction 54 Over n EndFraction
Option B
C
54 n
Option C
D
54 + n
Option D
3

Sandra rode her bike 5 times as many miles as Barbara. If b, the distance Barbara rode, equals 3.4 miles, what is the correct expression and distance Sandra rode?

A
; when the distance Sandra rode is 17 miles.
Option A
B
5b; when the distance Sandra rode is 17 miles.
Option B
C
5b; when the distance Sandra rode is 8.4 miles.
Option C
D
; when the distance Sandra rode is 8.4 miles.
Option D
4

Which algebraic expression represents “the sum of a number and 9”?

A
n minus 9
Option A
B
n + 9
Option B
C
9 n
Option C
D
StartFraction n Over 9 EndFraction
Option D
5

A large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342. Which statements can be used to write an expression and then find the number of peanuts that ended up in each bag? Check all that apply.

A
The operation is division.
B
The operation is multiplication.
C
The variable is the number of bags.
D
342 divided by 6 equals 57.
E
Write the division expression as a fraction, .
Option E
F
To evaluate, substitute 342 for the variable.
G
Each bag will have 57 peanuts.
H
The constant is 342.
6

The height of Sonji’s picture frame is 18 inches. Part of the height is from the matting. Sonji wants to know the height of a picture that will fit in the remaining height of the frame. If m represents the height of one side of the matting, which expression represents the height of the opening for the picture?

Question illustration
A
StartFraction 18 Over m EndFraction
Option A
B
StartFraction 2 m Over 18 EndFraction
Option B
C
18 minus 2 m
Option C
D
m minus 18
Option D
7

Which description matches the algebraic expression ?

Question illustration
A
the sum of a number and 45
B
the quotient of a number and 45
C
the product of a number and 45
D
the difference of a number and 45
8

Which scenario could be represented by the algebraic expression ?

Question illustration
A
Ariel wants to find the difference of a number and 13.
B
Ariel wants to find the product of 13 and a number.
C
Ariel wants to find the sum of a number and 13.
D
Ariel wants to find the difference of 13 and a number.
9

Which scenario could be represented by the algebraic expression ?

Question illustration
A
Barb wants to divide a number by the days in a year.
B
Barb wants to multiply the days in a year by a number.
C
Barb wants to divide the days in a year by a number.
D
Barb wants to add the days in a year and a number.
10

Rafael writes an expression to represent “a number, n, decreased by thirty-one.” Then he evaluates that expression if . Which statements are true about the expression and its evaluation? Check all that apply.

Question illustration
A
The correct expression is .
Option A
B
This is a subtraction expression.
C
This is an addition expression.
D
To evaluate, substitute 29 for the variable in the expression.
E
To evaluate, substitute 31 for the variable in the equation.
F
To evaluate the expression, add 31 to 29.
G
The correct expression is .
Option G
H
To evaluate the expression, subtract 31 from 29.

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