OpenStax Prealgebra
2.1 Use the Language of Algebra
Prealgebra
2: The Language of Algebra
2.1 Use the Language of Algebra
Practice Makes Perfect
Use Variables and Algebraic Symbols For the following exercises, translate from algebraic notation to
words.
1.
Answer: 16 minus 9, the difference of sixteen and nine.
2.
Answer: 25 minus 7, the difference of twenty-five and seven.
3.
Answer: 5 times 6, the product of five and six.
4.
Answer: 3 times 9, the product of three and nine.
5.
Answer: 28 divided by 4, the quotient of twenty-eight and four.
6.
Answer: 45 divided by 5, the quotient of forty-five and five.
7.
Answer: plus 8, the sum of and eight.
8.
Answer: plus 11, the sum of and eleven.
9.
Answer: 2 times 7, the product of two and seven.
10.
Answer: 4 times 8, the product of four and eight
11.
Answer: Fourteen is less than twenty-one.
12.
Page 1 of 58
,OpenStax Prealgebra
2.1 Use the Language of Algebra
Answer: Seventeen is less than thirty-five.
Page 2 of 58
,OpenStax Prealgebra
2.1 Use the Language of Algebra
13.
Answer: Thirty-six is greater than or equal to nineteen.
14.
Answer: Forty-two is greater than or equal to twenty-seven.
15.
Answer: 3 times n equals 24, the product of three and n equals twenty-four.
16.
Answer: 6 times n equals 36, the product of six and n equals thirty-six.
17.
Answer: minus 1 is greater than 6, the difference of and one is greater than six.
18.
Answer: minus 4 is greater than 8, the difference of and four is greater than eight.
19.
Answer: 2 is less than or equal to 18 divided by 6; 2 is less than or equal to the quotient of eighteen and
six.
20.
Answer: 3 is less than or equal to 20 divided by 4, three is less than or equal to the quotient of twenty
and four.
21.
Answer: a is not equal to 7 times 4, a is not equal to the product of seven and four.
22.
Answer: a is not equal to 1 times 12, a is not equal to the product of one and twelve.
Identify Expressions and Equations For the following exercises, determine if each is an expression or an
equation.
23.
Answer: equation
24.
Answer: equation
25.
Page 3 of 58
, OpenStax Prealgebra
2.1 Use the Language of Algebra
Answer: expression
26.
Answer: expression
27.
Answer: expression
28.
Answer: expression
29.
Answer: equation
30.
Answer: equation
Simplify Expressions with Exponent For the following exercises, write in exponential form.
31.
Answer:
32.
Answer:
33.
Answer:
34.
Answer:
For the following exercises, write in expanded form.
35.
Answer: 5x5x5
36.
Answer: 8x8x8
37.
Answer: 2x2x2x2x2x2x2x2
38.
Page 4 of 58
2.1 Use the Language of Algebra
Prealgebra
2: The Language of Algebra
2.1 Use the Language of Algebra
Practice Makes Perfect
Use Variables and Algebraic Symbols For the following exercises, translate from algebraic notation to
words.
1.
Answer: 16 minus 9, the difference of sixteen and nine.
2.
Answer: 25 minus 7, the difference of twenty-five and seven.
3.
Answer: 5 times 6, the product of five and six.
4.
Answer: 3 times 9, the product of three and nine.
5.
Answer: 28 divided by 4, the quotient of twenty-eight and four.
6.
Answer: 45 divided by 5, the quotient of forty-five and five.
7.
Answer: plus 8, the sum of and eight.
8.
Answer: plus 11, the sum of and eleven.
9.
Answer: 2 times 7, the product of two and seven.
10.
Answer: 4 times 8, the product of four and eight
11.
Answer: Fourteen is less than twenty-one.
12.
Page 1 of 58
,OpenStax Prealgebra
2.1 Use the Language of Algebra
Answer: Seventeen is less than thirty-five.
Page 2 of 58
,OpenStax Prealgebra
2.1 Use the Language of Algebra
13.
Answer: Thirty-six is greater than or equal to nineteen.
14.
Answer: Forty-two is greater than or equal to twenty-seven.
15.
Answer: 3 times n equals 24, the product of three and n equals twenty-four.
16.
Answer: 6 times n equals 36, the product of six and n equals thirty-six.
17.
Answer: minus 1 is greater than 6, the difference of and one is greater than six.
18.
Answer: minus 4 is greater than 8, the difference of and four is greater than eight.
19.
Answer: 2 is less than or equal to 18 divided by 6; 2 is less than or equal to the quotient of eighteen and
six.
20.
Answer: 3 is less than or equal to 20 divided by 4, three is less than or equal to the quotient of twenty
and four.
21.
Answer: a is not equal to 7 times 4, a is not equal to the product of seven and four.
22.
Answer: a is not equal to 1 times 12, a is not equal to the product of one and twelve.
Identify Expressions and Equations For the following exercises, determine if each is an expression or an
equation.
23.
Answer: equation
24.
Answer: equation
25.
Page 3 of 58
, OpenStax Prealgebra
2.1 Use the Language of Algebra
Answer: expression
26.
Answer: expression
27.
Answer: expression
28.
Answer: expression
29.
Answer: equation
30.
Answer: equation
Simplify Expressions with Exponent For the following exercises, write in exponential form.
31.
Answer:
32.
Answer:
33.
Answer:
34.
Answer:
For the following exercises, write in expanded form.
35.
Answer: 5x5x5
36.
Answer: 8x8x8
37.
Answer: 2x2x2x2x2x2x2x2
38.
Page 4 of 58
