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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. Arthur bought 18 marbles less than Adam. How many marbles did Arthur buy?
t + 18
t − 18
• 18
• 18 − t
Answer: t − 18
Marbles Adam bought = t
Marbles Arthur bought = t − 18
'18 less than t' is equivalent to 't − 18' in symbols.

2. Annie bought f pencils. Elizabeth bought 11 pencils more than Annie. How many pencils did Elizabeth buy?
f − 11
f  + 11
• 11
• 11 − f
Answer: f  + 11
Pencils Annie bought = f
Pencils Elizabeth bought = f  + 11
'11 more than f' is equivalent to 'f  + 11' in symbols.

3. Annie lost 8 marbles. She had g marbles. How many marbles does Annie have now?
g + 8
• 8
• 8 − g
g − 8
Answer: g − 8
Marbles Annie had = g
Marbles Annie lost = 8
Marbles Annie has now = g − 8
'lost 8 from g' is equivalent to 'g − 8' in symbols.


4. Adam borrowed 6 golf balls from Arthur. Arthur had d golf balls. How many golf balls does Arthur have now?
d + 6
• 6
d − 6
• 6 − d
Answer: d − 6
Golf balls Arthur had = d
Golf balls Adam borrowed = 6
Golf balls Arthur has now = d − 6
'borrowed 6 from d' is equivalent to 'd − 6' in symbols.

5. Annie scored 6 extra credit points than Arthur. Arthur scored h credit points. How many credit points did Annie score?
• 6 − h
h
h − 6
h + 6
Answer: h + 6
Points Elizabeth scored = h
Points Annie scored = h + 6
'6 extra than h' is equivalent to 'h + 6' in symbols.

6. Adam scored 10 fewer credit points than Arthur. Arthur scored p credit points. How many credit points did Adam score?
p − 10
p + 10
• 10
• 10 − p
Answer: p − 10
Points Arthur scored = p
Points Adam scored = p − 10
'10 fewer than p' is equivalent to 'p − 10' in symbols.

7. There were 23 dolls in a box. k dolls were taken away. How many dolls are left in the box now?
k + 23
• 23
• 23 − k
k − 23
Answer: 23 − k
Dolls in a box = 23
Dolls taken away = k
Dolls left = 23 − k
'k taken away from 23' is equivalent to '23 − k' in symbols.

8. There were 6 dolls in a box. h new dolls were added to the box. How many dolls are present in the box now?
• 6 − h
• 6
h − 6
• 6 + h
Answer: 6 + h
Dolls in a box = 6
Dolls added = h
Dolls present now = 6 + h
'added h to 6' is equivalent to '6 + h' in symbols.

9. There are 22 big boxes and x small boxes. What is the total number of boxes?
• 22 − x
• 22 + x
• 22
x − 22
Answer: 22 + x
Big boxes = 22
Small boxes = x
Total boxes = 22 + x
'total of 22 and x' is equivalent to '22 + x' in symbols.

10. Adam has y red jelly beans and 14 blue jelly beans. What is the total number of jelly beans?
y − 14
• 14
y + 14
• 14 − y
Answer: y + 14
Red jelly beans = y
Blue jelly beans = 14
Total jelly beans = y +14
'total of y and 14' is equivalent to 'y +14' in symbols.

11. Annie ate t more cookies than Arthur. Arthur ate 7 cookies. How many cookies did Annie eat?
t − 7
t + 7
t
• 7 − t
Answer: t + 7
Cookies Elizabeth ate = 7
Cookies Annie ate = t + 7
't more than 7' is equivalent to 't + 7' in symbols.

12. Annie ate 7 fewer cookies than Elizabeth. Elizabeth ate k cookies. How many cookies did Annie eat?
• 7 − k
k
k − 7
k + 7
Answer: k − 7
Cookies Elizabeth ate = k
Cookies Annie ate = k − 7
'7 fewer than k' is equivalent to 'k − 7' in symbols.

13. Annie is 7 years younger than her sister. Annie's sister is b years old. What is Annie's age?
• 7 − b
7
b + 7
b − 7
Answer: b − 7
Annie's sister's age = b
Annie age = b − 7
'7 years younger than b' is equivalent to 'b − 7' in symbols.

14. Adam is j years younger than his sister. Adam's sister is 21 years old. What is Adam's age?
j − 21
j
• 21 − j
j + 21
Answer: 21 − j
Adam's sister's age = 21
Adam age = 21 − j
'j years younger than 21' is equivalent to '21 − j' in symbols.

15. Adam's brother is r years older than him. Adam is 28 years old. What is Adam's brother's age?
r − 28
r
• 28 − r
• 28 + r
Answer: 28 + r
Adam's age = r
Adam's brother's age = 28 + r
'r years older than 28' is equivalent to '28 + r' in symbols.

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

17. There are 35 toy cars in a store. d toy cars are sold. How many toy cars are left in the store?
• 35 − d
d − 35
d
• 35 + d
Answer: 35 − d
Toy cars in a store = 35
Toy cars sold =d
Toy cars left = 35 − d
'sold d from 35' is equivalent to '35 − d' in symbols.

18. Annie had 9 books. Arthur gave her g more books. Annie then bought 3 new books. What is the total number of books Annie has?
g + 9
g + 3
g − 12
g + 12
Answer: g + 12
Books Annie had = 9
Books Elizabeth gave Annie = g
Books Annie bought = 3
Total books Annie has = g + 9 + 3 = g + 12
'total of g and 9 and 3' is equivalent to ' g + 12' in symbols.

19. Adam had t crayons. Elizabeth borrowed 3 crayons from Adam. Elizabeth then borrowed 10 more crayons from Adam. How many crayons does Adam have now?
t − 3
t − 13
t − 10
t + 10
Answer: t − 13
Crayons Adam had = t
Crayons Arthur borrowed = 3 + 10 = 13
Crayons Adam has now = t − 13
'borrowed 13 from t' is equivalent to ' t − 13' in symbols.

20. There are 34 ribbons in a box. 5 ribbons are added to the box and k ribbons are taken away. How many ribbons are left in the box now?
k + 34
k + 5
k − 34
• 39 − k
Answer: 39 − k
Ribbons in a box = 34
Ribbons added = 5
Ribbons taken away = k
Ribbons left = 34 + 5 − k =39 k
'k taken away from 39' is equivalent to '39 − k' in symbols.

21. Adam had 16 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 + 10
y + 16
y − 10
• 10 − y
Answer: y + 10
Ribbons Adam had = y +16 
Ribbons Adam lost = 2 + 4 = 10
Total ribbons  Adam now has =y + 16 − 10 = y + 10
'lost 10 from y + 16' is equivalent to 'y + 16 − 10' in symbols.

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