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Algebraic Expressions - Formulation

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

1. Adam bought t marbles. Colin bought 13 marbles less than Adam. How many marbles did Colin buy?
t + 13
t − 13
• 13
• 13 − t
Answer: t − 13
Marbles Adam bought = t
Marbles Colin bought = t − 13
'13 less than t' is equivalent to 't − 13' in symbols.


2. Michelle bought f pencils. Stacy bought 5 pencils more than Michelle. How many pencils did Stacy buy?
f − 5
f  + 5
• 5
• 5 − f
Answer: f  + 5
Pencils Michelle bought = f
Pencils Stacy bought = f  + 5
'5 more than f' is equivalent to 'f  + 5' in symbols.


3. Michelle lost 7 marbles. She had g marbles. How many marbles does Michelle have now?
g + 7
g − 7
• 7
• 7 − g
Answer: g − 7
Marbles Michelle had = g
Marbles Michelle lost = 7
Marbles Michelle has now = g − 7
'lost 7 from g' is equivalent to 'g − 7' in symbols.



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


5. Michelle scored 8 extra credit points than Colin. Colin scored h credit points. How many credit points did Michelle score?
• 8 − h
h
h − 8
h + 8
Answer: h + 8
Points Stacy scored = h
Points Michelle scored = h + 8
'8 extra than h' is equivalent to 'h + 8' in symbols.


6. Adam scored 11 fewer credit points than Colin. Colin scored p credit points. How many credit points did Adam score?
p + 11
p − 11
• 11
• 11 − p
Answer: p − 11
Points Colin scored = p
Points Adam scored = p − 11
'11 fewer than p' is equivalent to 'p − 11' in symbols.


7. There were 26 dolls in a box. k dolls were taken away. How many dolls are left in the box now?
• 26 − k
k + 26
• 26
k − 26
Answer: 26 − k
Dolls in a box = 26
Dolls taken away = k
Dolls left = 26 − k
'k taken away from 26' is equivalent to '26 − k' in symbols.


8. There were 11 dolls in a box. h new dolls were added to the box. How many dolls are present in the box now?
• 11 + h
• 11 − h
• 11
h − 11
Answer: 11 + h
Dolls in a box = 11
Dolls added = h
Dolls present now = 11 + h
'added h to 11' is equivalent to '11 + h' in symbols.


9. There are 17 big boxes and x small boxes. What is the total number of boxes?
• 17 − x
• 17
• 17 + x
x − 17
Answer: 17 + x
Big boxes = 17
Small boxes = x
Total boxes = 17 + x
'total of 17 and x' is equivalent to '17 + x' in symbols.


10. Adam has y red jelly beans and 12 blue jelly beans. What is the total number of jelly beans?
y − 12
y + 12
• 12
• 12 − y
Answer: y + 12
Red jelly beans = y
Blue jelly beans = 12
Total jelly beans = y +12
'total of y and 12' is equivalent to 'y +12' in symbols.


11. Michelle ate t more cookies than Colin. Colin ate 4 cookies. How many cookies did Michelle eat?
t + 4
t − 4
t
• 4 − t
Answer: t + 4
Cookies Stacy ate = 4
Cookies Michelle ate = t + 4
't more than 4' is equivalent to 't + 4' in symbols.


12. Michelle ate 6 fewer cookies than Stacy. Stacy ate k cookies. How many cookies did Michelle eat?
• 6 − k
k − 6
k
k + 6
Answer: k − 6
Cookies Stacy ate = k
Cookies Michelle ate = k − 6
'6 fewer than k' is equivalent to 'k − 6' in symbols.


13. Michelle is 6 years younger than her sister. Michelle's sister is b years old. What is Michelle's age?
• 6 − b
6
b − 6
b + 6
Answer: b − 6
Michelle's sister's age = b
Michelle age = b − 6
'6 years younger than b' is equivalent to 'b − 6' in symbols.


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


15. Adam's brother is r years older than him. Adam is 27 years old. What is Adam's brother's age?
r − 27
r
• 27 − r
• 27 + r
Answer: 27 + r
Adam's age = r
Adam's brother's age = 27 + r
'r years older than 27' is equivalent to '27 + r' in symbols.


16. Adam and Stacy painted f pictures each. Kevin painted 11 pictures more than Adam. How many pictures did Kevin paint?
f − 11
• 11
• 11 − f
f + 11
Answer: f + 11
Pictures Adam painted = f
Pictures Kevin painted = f +11
'11 more than f' is equivalent to 'f + 11' in symbols.


17. There are 32 toy cars in a store. d toy cars are sold. How many toy cars are left in the store?
d − 32
• 32 − d
d
• 32 + d
Answer: 32 − d
Toy cars in a store = 32
Toy cars sold =d
Toy cars left = 32 − d
'sold d from 32' is equivalent to '32 − d' in symbols.


18. Michelle had 12 books. Colin gave her g more books. Michelle then bought 3 new books. What is the total number of books Michelle has?
g + 12
g + 3
g + 15
g − 15
Answer: g + 15
Books Michelle had = 12
Books Stacy gave Michelle = g
Books Michelle bought = 3
Total books Michelle has = g + 12 + 3 = g + 15
'total of g and 12 and 3' is equivalent to ' g + 15' in symbols.


19. Adam had t crayons. Stacy borrowed 5 crayons from Adam. Stacy then borrowed 10 more crayons from Adam. How many crayons does Adam have now?
t − 5
t − 10
t + 10
t − 15
Answer: t − 15
Crayons Adam had = t
Crayons Colin borrowed = 5 + 10 = 15
Crayons Adam has now = t − 15
'borrowed 15 from t' is equivalent to ' t − 15' in symbols.


20. There are 39 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 + 39
• 45 − k
k + 6
k − 39
Answer: 45 − k
Ribbons in a box = 39
Ribbons added = 6
Ribbons taken away = k
Ribbons left = 39 + 6 − k =45 k
'k taken away from 45' is equivalent to '45 − k' in symbols.


21. Adam had 14 blue ribbons and y green ribbons. He lost 2 blue ribbons and 4 green ribbons. What is the total number of ribbons Adam has now?
y + 14
y − 8
• 8 − y
y + 8
Answer: y + 8
Ribbons Adam had = y +14 
Ribbons Adam lost = 2 + 4 = 8
Total ribbons  Adam now has =y + 14 − 8 = y + 8
'lost 8 from y + 14' is equivalent to 'y + 14 − 8' in symbols.



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