U1L1: Translating Verbal Expressions into Algebraic Expressions

Last updated about 6 years ago

12 questions

1

Library

U1L1: Translating Verbal Expressions into Algebraic Expressions

Last updated about 6 years ago

12 questions

1

Seven decreased by 3 times some number, n

1

Twice the difference of p and 10

1

4 times the sum of 3 and x

1

10 less than twice a number w

1

A mechanic charges $45 per hour and parts cost $125. Write an expression for the total if the mechanic works h hours.

1

The quotient of the three times a number and the quantity 4 plus the same number. Use n.

1

5 less than a number all multiplied by the quantity of three times the number. Use n.

1

Write an algebraic expression that represents "3 times a number less than the sum of twice the number and 1". Use n.

1

BONUS: A rectangle has a length of n and a width that is the length minus 1. Write an expression that could be used to find the quotient of the perimeter divided by the area.

Seven decreased by 3 times some number, n

Twice the difference of p and 10

4 times the sum of 3 and x

10 less than twice a number w

A mechanic charges $45 per hour and parts cost $125. Write an expression for the total if the mechanic works h hours.

Which expression represents the perimeter of a rectangle with a length of 8 mm and a width of x mm?

8x

8+x

16+2x

2(8)+x

The quotient of the three times a number and the quantity 4 plus the same number. Use n.

5 less than a number all multiplied by the quantity of three times the number. Use n.

Veronica writes the expression 3n – 5 + n given the verbal expression “three times a number minus 5 plus the same number”. Cory writes the expression 3n – (5 + n). Who do you agree with? Justify your answer.

Veronica is correct because 3n isn't subtracting the sum of 5 and n.

Cory is correct because 3n is subtracting the sum of 5 and n.

Both of them are correct because the expressions are equal.

None of them are correct.

Margo said that the answer to number 5 was that they were both correct in this case: 3n - 5 + n and 3n - (5 + n). Is Margo correct or incorrect, and why?

Margo is correct because if we substitute n = 1, both expressions equal 5.

Margo is incorrect because if we substitute n = 1, we get 2 and -4.

Margo is correct because if we substitute n = 1, both expressions equal 7.

Margo is incorrect because if we substitute n = 1, we get 3 and -1.

Write an algebraic expression that represents "3 times a number less than the sum of twice the number and 1". Use n.

BONUS: A rectangle has a length of n and a width that is the length minus 1. Write an expression that could be used to find the quotient of the perimeter divided by the area.

Which expression represents the perimeter of a rectangle with a length of 8 mm and a width of x mm?

8x

8+x

16+2x

2(8)+x

Veronica writes the expression 3n – 5 + n given the verbal expression “three times a number minus 5 plus the same number”.  Cory writes the expression 3n – (5 + n).  Who do you agree with?  Justify your answer.

Veronica is correct because 3n isn't subtracting the sum of 5 and n.

Cory is correct because 3n is subtracting the sum of 5 and n.

Both of them are correct because the expressions are equal.

None of them are correct.

Margo said that the answer to number 5 was that they were both correct in this case: 3n - 5 + n and 3n - (5 + n). Is Margo correct or incorrect, and why?

Margo is correct because if we substitute n = 1, both expressions equal 5.

Margo is incorrect because if we substitute n = 1, we get 2 and -4.

Margo is correct because if we substitute n = 1, both expressions equal 7.

Margo is incorrect because if we substitute n = 1, we get 3 and -1.