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U1L1: Translating Verbal Expressions into Algebraic Expressions

Last updated almost 6 years ago

12 questions

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Question 1

1.

Seven decreased by 3 times some number, n

Question 2

2.

Twice the difference of p and 10

Question 3

3.

4 times the sum of 3 and x

Question 4

4.

10 less than twice a number w

Question 5

5.

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

Question 6

6.

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

Question 7

7.

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

Question 8

8.

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

Question 9

9.

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.

Question 10

10.

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.

Question 11

11.

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

Question 12

12.

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.