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Algebraic Expressions - Formulation

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Select the algebraic expression(s) to represent the word problem(s).

1. Arthur bought t marbles. Adam bought 12 marbles less than Arthur. How many marbles did Adam buy?
t + 12
• 12
• 12 − t
t − 12
Answer: t − 12
Marbles Arthur bought = t
Marbles Adam bought = t − 12
'12 less than t' is equivalent to 't − 12' in symbols.


2. Annie bought f pencils. Stacy bought 14 pencils more than Annie. How many pencils did Stacy buy?
f  + 14
f − 14
• 14
• 14 − f
Answer: f  + 14
Pencils Annie bought = f
Pencils Stacy bought = f  + 14
'14 more than f' is equivalent to 'f  + 14' in symbols.


3. Annie lost 13 marbles. She had g marbles. How many marbles does Annie have now?
g − 13
g + 13
• 13
• 13 − g
Answer: g − 13
Marbles Annie had = g
Marbles Annie lost = 13
Marbles Annie has now = g − 13
'lost 13 from g' is equivalent to 'g − 13' in symbols.



4. Arthur borrowed 11 golf balls from Adam. Adam had d golf balls. How many golf balls does Adam have now?
d + 11
• 11
• 11 − d
d − 11
Answer: d − 11
Golf balls Adam had = d
Golf balls Arthur borrowed = 11
Golf balls Adam has now = d − 11
'borrowed 11 from d' is equivalent to 'd − 11' in symbols.


5. Annie scored 13 extra credit points than Adam. Adam scored h credit points. How many credit points did Annie score?
h + 13
• 13 − h
h
h − 13
Answer: h + 13
Points Stacy scored = h
Points Annie scored = h + 13
'13 extra than h' is equivalent to 'h + 13' in symbols.


6. Arthur scored 4 fewer credit points than Adam. Adam scored p credit points. How many credit points did Arthur score?
p − 4
p + 4
• 4
• 4 − p
Answer: p − 4
Points Adam scored = p
Points Arthur scored = p − 4
'4 fewer than p' is equivalent to 'p − 4' in symbols.


7. There were 22 dolls in a box. k dolls were taken away. How many dolls are left in the box now?
• 22 − k
k + 22
• 22
k − 22
Answer: 22 − k
Dolls in a box = 22
Dolls taken away = k
Dolls left = 22 − k
'k taken away from 22' is equivalent to '22 − k' in symbols.


8. There were 7 dolls in a box. h new dolls were added to the box. How many dolls are present in the box now?
• 7 − h
• 7 + h
• 7
h − 7
Answer: 7 + h
Dolls in a box = 7
Dolls added = h
Dolls present now = 7 + h
'added h to 7' is equivalent to '7 + h' in symbols.


9. There are 16 big boxes and x small boxes. What is the total number of boxes?
• 16 − x
• 16
• 16 + x
x − 16
Answer: 16 + x
Big boxes = 16
Small boxes = x
Total boxes = 16 + x
'total of 16 and x' is equivalent to '16 + x' in symbols.


10. Arthur has y red jelly beans and 8 blue jelly beans. What is the total number of jelly beans?
y − 8
y + 8
• 8
• 8 − y
Answer: y + 8
Red jelly beans = y
Blue jelly beans = 8
Total jelly beans = y +8
'total of y and 8' is equivalent to 'y +8' in symbols.


11. Annie ate t more cookies than Adam. Adam ate 6 cookies. How many cookies did Annie eat?
t + 6
t − 6
t
• 6 − t
Answer: t + 6
Cookies Stacy ate = 6
Cookies Annie ate = t + 6
't more than 6' is equivalent to 't + 6' in symbols.


12. Annie ate 3 fewer cookies than Stacy. Stacy ate k cookies. How many cookies did Annie eat?
k − 3
• 3 − k
k
k + 3
Answer: k − 3
Cookies Stacy ate = k
Cookies Annie ate = k − 3
'3 fewer than k' is equivalent to 'k − 3' in symbols.


13. Annie is 8 years younger than her sister. Annie's sister is b years old. What is Annie's age?
• 8 − b
b − 8
8
b + 8
Answer: b − 8
Annie's sister's age = b
Annie age = b − 8
'8 years younger than b' is equivalent to 'b − 8' in symbols.


14. Arthur is j years younger than his sister. Arthur's sister is 16 years old. What is Arthur's age?
• 16 − j
j − 16
j
j + 16
Answer: 16 − j
Arthur's sister's age = 16
Arthur age = 16 − j
'j years younger than 16' is equivalent to '16 − j' in symbols.


15. Arthur's brother is r years older than him. Arthur is 24 years old. What is Arthur's brother's age?
r − 24
r
• 24 − r
• 24 + r
Answer: 24 + r
Arthur's age = r
Arthur's brother's age = 24 + r
'r years older than 24' is equivalent to '24 + r' in symbols.


16. Arthur and Stacy painted f pictures each. Robin painted 12 pictures more than Arthur. How many pictures did Robin paint?
f + 12
f − 12
• 12
• 12 − f
Answer: f + 12
Pictures Arthur painted = f
Pictures Robin painted = f +12
'12 more than f' is equivalent to 'f + 12' in symbols.


17. There are 41 toy cars in a store. d toy cars are sold. How many toy cars are left in the store?
d − 41
d
• 41 + d
• 41 − d
Answer: 41 − d
Toy cars in a store = 41
Toy cars sold =d
Toy cars left = 41 − d
'sold d from 41' is equivalent to '41 − d' in symbols.


18. Annie had 8 books. Adam gave her g more books. Annie then bought 6 new books. What is the total number of books Annie has?
g + 8
g + 6
g − 14
g + 14
Answer: g + 14
Books Annie had = 8
Books Stacy gave Annie = g
Books Annie bought = 6
Total books Annie has = g + 8 + 6 = g + 14
'total of g and 8 and 6' is equivalent to ' g + 14' in symbols.


19. Arthur had t crayons. Stacy borrowed 2 crayons from Arthur. Stacy then borrowed 6 more crayons from Arthur. How many crayons does Arthur have now?
t − 8
t − 2
t − 6
t + 6
Answer: t − 8
Crayons Arthur had = t
Crayons Adam borrowed = 2 + 6 = 8
Crayons Arthur has now = t − 8
'borrowed 8 from t' is equivalent to ' t − 8' in symbols.


20. There are 26 ribbons in a box. 6 ribbons are added to the box and k ribbons are taken away. How many ribbons are left in the box now?
k + 26
• 32 − k
k + 6
k − 26
Answer: 32 − k
Ribbons in a box = 26
Ribbons added = 6
Ribbons taken away = k
Ribbons left = 26 + 6 − k =32 k
'k taken away from 32' is equivalent to '32 − k' in symbols.


21. Arthur had 10 blue ribbons and y green ribbons. He lost 2 blue ribbons and 5 green ribbons. What is the total number of ribbons Arthur has now?
y + 3
y + 10
y − 3
• 3 − y
Answer: y + 3
Ribbons Arthur had = y +10 
Ribbons Arthur lost = 2 + 5 = 3
Total ribbons  Arthur now has =y + 10 − 3 = y + 3
'lost 3 from y + 10' is equivalent to 'y + 10 − 3' in symbols.



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