WRITE VARIABLE EQUATIONS FROM WORD PROBLEMS WORKSHEET

Problem 1 :

Let x be the amount of money Ann has. Write an algebraic expression for each of the following

a) Macro has $6 less than Ann has

b) Olivio has 3 times as much money as Ann.

c)   Franchesca has $5 more than Ann.

Solution

Problem 2 :

The product of 9 and a number yields 45. Find the number.

A) 6    B) 36     C) 5     D) 405

Solution

Problem 3 :

The sum of 2, 6, and a number amounts to 15. Find the number. 

A) 7    B) 23    C) 19     D) 11

Solution

Problem 4 :

The product of a number and -8 gives eight times the sum of that number and 36. Find the number.

A) -18    B) -8      C) 8      D) 18

Solution

Write the sentence as an equation. Use x to represent "a number."

Problem 5 :

Seven subtracted from twice a number gives 17.

A) 2x - 7 = 17       B) 2(x - 7) = 17

C) 7 - 2x = 17          D) 7(2 - x) = 17

Solution

Problem 6 :

A number added to -19 is equal to -21.

A) x - 21 = -19    B) -19 + x = -21

C) x = -19 + 21     D) -19 - 21 = x

Solution

Problem 7 :

Ten subtracted from a number yields 15.

A) 10 + x = 15          B) 10 - x = 15

C) x - 10 = 15           D) 15 - 10 = x

Solution

Problem 8 :

The quotient of 24 and a number is 4.

A) x/24 = 4       B) 24 - x = 4       C) 24/x = 4

D) 24 x = 4

Solution

Answer Key

1) a)  Macro has = x - 6    b)  Olivio has = 3x

c)  Franchesca has = 5 + x

2)  9x = 45 and x = 5

3)  8 + x = 15 and x = 7

4)  -8x = 8(x + 36) and x = -18

5)  2x - 7

6)  -19 + x = -21

7) x - 10 = 15

8) 24/x = 4

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