AnswersPre-Algebra A-CRExpressions with and without Parentheses

Expressions with and without Parentheses Answers

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Replace “a number” with the variable, n.The two operations are multiplication and addition.The two operations are multiplication and subtraction. The constants are 2 and 6.The expression is written as 2(n – 6).The expression is written as 2 × 6 – n.

A
Replace “a number” with the variable, n.
B
The two operations are multiplication and addition.
C
The two operations are multiplication and subtraction.
D
The constants are 2 and 6.
E
The expression is written as 2(n – 6).
F
The expression is written as 2 × 6 – n.
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First, write the expression . Second, 2 in for the variable, y. Third, by using . The answer is .

Answers:
Selection 1:10/y – 4 + 8
Selection 2:substitute
Selection 3:simplify
Selection 4:order of operations
Selection 5:9
7

10 × 7 + j; when j = 1, the value is 717(10 + j); when j = 1, the value is 7710(7 – j); when j = 1, the value is 6010(7 + j); when j = 1, the value is 80

A
10 × 7 + j; when j = 1, the value is 71
B
7(10 + j); when j = 1, the value is 77
C
10(7 – j); when j = 1, the value is 60
D
10(7 + j); when j = 1, the value is 80
8

Write and evaluate the expression. Then, complete the statement.three times the difference of nine and a numberThe value of the expression when h = 5 is

Answer:

12

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Write and evaluate the expression.Check all that apply.

A
Write the expression as 11 +t2 -6
B
Write the expression as 11 +2t -6
C
Write the expression as 11 + -6
Option C
D
The value when t = 5 is 16.
E
The value when t = 5 is 30.
F
The value when t = 5 is 7.5.
10

The expression to model the situation is . The value of the expression when n = 8 is .

Answers:
Selection 1:9 + 7n – 3
Selection 2:62
11

Write and evaluate the expression. Then, select the correct answer. two less than the quotient of a number and four, increased by ten; evaluate when m = 12

A
2 + 4m -10, when m = 11, the value is 40
B
4m + 2 +10, when m = 11, the value is 60
C
2 - 4m + 10, when m = 12, the value is 9
Option C
D
-2+10, when m = 12, the value is 11
Option D
12

Which student correctly translated the phrase “twice the sum of a number cubed and nine” and evaluated it for r = 3?

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Option
Option A
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Option
Option B
C
Option
Option C
D
Option
Option D
13

Explain how to translate the phrase into an algebraic expression.four times the difference of eight and a number

Answer:

To translate the phrase into an algebraic expression, first identify the key words and operations. "Four times" indicates multiplication by 4, and "the difference of" indicates subtraction. Since the multiplication applies to the entire difference, use parentheses for the subtraction. "Eight and a number" translates to 8 – n, following the order in the phrase. Thus, the expression is 4(8 – n).

14

Explain how to write and evaluate an algebraic expression.one more than the product of a number and seven, decreased by five; evaluate when n = 6

Answer:

To write the expression, start by identifying keywords: "product" indicates multiplication (7n), "one more than" indicates addition (+ 1), and "decreased by" indicates subtraction (- 5). This result in the expression 1 + 7n - 5. To evaluate, substitute 6 for n: 1 + 7(6) - 5. Using the order of operations, multiply seven and six to get 42. Then, add one to get 43, and subtract five to get a final value of 38.

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16

Check any that you included in your response.

A
Replace key words with variables, numbers, and operations.
B
The words “four times” means multiplication by 4.
C
The words “the difference of” means subtraction inside of parentheses.
D
The subtraction inside the parentheses will be 8 – n because that is the order they appear in the phrase.
E
The expression is 4(8 – n).
17

Check any that you included in your response.

A
Replace key words with variables, numbers, and operations.
B
More than is addition, product is multiplication, and decreased by is subtraction.
C
The constants are 1, 7, and 5.
D
The expression is 1 + 7n – 5.
E
To evaluate the expression, substitute 6 in for the variable, and then use order of operations to simplify.
F
The value when n = 6 is 38.

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