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Writing Systems of Equations KuH
Contributed by: Harris
What operation would be used when you find the clue word
"Total" in a story problem?
Multiplication
Addition
Division
Subtraction
  • 2. What operation would be used when you find the clue word "Together" in a story problem?
A) Addition
B) Division
C) Multiplication
D) Subtraction
  • 3. What operation would be used when you find the clue words "Increased by" in a story problem?
A) Multiplication
B) Addition
C) Division
D) Subtraction
  • 4. What operation would be used when you find the clue word "Difference" in a story problem?
A) Addition
B) Subtraction
C) Multiplication
D) Division
  • 5. What operation would be used when you find the clue words "Take Away" in a story problem?
A) Division
B) Addition
C) Multiplication
D) Subtraction
  • 6. What operation would be used when you find the clue word "Change (money problems)" in a story problem?
A) Subtraction
B) Addition
C) Division
D) Multiplication
  • 7. What operation would be used when you find the clue word "Times" in a story problem?
A) Multiplication
B) Division
C) Subtraction
D) Addition
  • 8. What operation would be used when you find the clue words "Product of" in a story problem?
A) Division
B) Addition
C) Subtraction
D) Multiplication
  • 9. What operation would be used when you find the clue words "Groups Of" in a story problem?
A) Division
B) Addition
C) Subtraction
D) Multiplication
  • 10. What operation would be used when you find the clue words "Quotient of" in a story problem?
A) Addition
B) Subtraction
C) Multiplication
D) Division
  • 11. What operation would be used when you find the clue word "Split" in a story problem?
A) Subtraction
B) Multiplication
C) Addition
D) Division
  • 12. What operation would be used when you find the clue words "Shared Equally" in a story problem?
A) Addition
B) Multiplication
C) Subtraction
D) Division
Select the system of
equations that could
represent the problem
situation and solve.
There are twice as many girls as boys in the Science 
Squad at Hightown Middle School.  If 24 students are 
in the club, how many of them are boys and how many 
are girls?
b + g = 24    g = 2b
b + 2g = 24    b + g = 2
b + g = 24    b = 2g
b + 2g = 24    b = g
Fredward is buying juice and soda for his birthday
party.  He wants to buy 12 total bottles and can spend
$29.  If juice cost $3 per bottle and soda cost $2
per bottle, how many bottles of each should he buy?
j + s = 29    j + s = 12
j = 3
    s = 2
3j + 2s = 29      j + s = 12
3j = 29
    2s = 12
440 adults and students attended the Drumond High 
School orchestra concert.  Forty more adults than
students attended.  How many of each went to the
concert.
a + 40 = 440
    s = 440
a + s = 440    a = s + 40
a + s = 440
    s = a + 40
a + s = 440
    a = 40s
At Cinemania Movie Theater, movie tickets for a family 
of 2 adults and 3 children cost $28.  Tickets for a family
of 1 adult and 2 children cost $22.  How much does an
adult ticket and a child ticket cost?
a = 2 + 1    c = 3 + 2
2 + a + 3 + c = 28
    1 + a + 2 + c = 22
2a + 3c = 22
     a + 2c = 28
2a + 3c = 28    a + 2c = 22
The 6th grade at Villmont Middle School is going on a field trip to Washington DC.  Including the chaperons,232 people are going on the trip.  They will travel invans and buses.  Each van seats 8 (not counting the driver) and each bus seats 54 (not counting the driver).  If they took a total 6 vehicles, how many vans andbuses do they need to take?
v = 8
    b = 54
v + b = 6
    v + 8 + b + 54 = 232
v + b = 6
    8v + 54b = 232
v + b = 232
    8v = 54b
Cal is planting a garden.  He wants to fill it with tulips
and daisies.  Each tulip bulb cost $2.00, each daisy
bulb cost $1.50.  He has $45 to spend on these flowers.
He wants five less than twice as many tulips as daisies.
How many of each flower should he buy?
2t + 1.50d = 45
    t = 2d - 5
2t + 1.50 = 45
    d = 2t - 5
t = 2.00
    d = 1.50
2t + 1.50d = 45
    t = 2d + 5
The sum of two numbers is 52.  Their difference is 10.
xy = 52
    x/y = 10
x + y = 10    x - y = 52
x = 52
    y = 10
x + y = 52    x - y = 10
Petri planted two trees.  The first was 3 feet tall when 
planted and grows 0.25 feet each month.  
The second, he planted as a seed 1 foot underground, 
and it grows 0.5 feet each month.  When will the trees 
be the same height?
y = 0.25x + 3
    y = 0.5x + 1
y = 3x + 0.25
    y = -1x + 0.5
y = 0.25x + 3
    y = 0.5x - 1
y = 0.25x + 3
    y = -0.5x - 1
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