1.
Write an Equation:
4 less than a number is 10
2. Define the variables, constant,
and coefficients
-3x + 4y² + 12
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Translating Word Problems
5 less than a
number
Remember:
LESS THAN
5–x
First number goes
last!
X-5
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1.
2.
Write Equation
Substitute number
in and simplify
Devon is 10 years older than twice Sammy’s age. If Sammy is 12,
how old is Devon?
Equation:
D=10+2x
D= 10 + 2(12)
D=10 + 24
D=34
Jessica is 5 years younger than Mike’s age. If Mike is 23, how old is
Devon?
Equation:
J=x-5
J= 23 - 5
J=18
j=18
The sum of 3 consecutive even numbers
add up to 1002. Find the three
numbers.
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If the numbers are consecutive use:
1st number = x
nd
2 number = x + 1
rd
3 number = x + 2
etc
If the numbers are consecutive ODD:
1st number = x
2nd number = x + 2
3rd number = x + 4
etc
If the numbers are consecutive EVEN:
1st number = x
2nd number = x + 2
3rd number = x + 4
etc
The
sum of 3 consecutive even numbers
add up to 1002. Find the three numbers.
X+x+2+x+4=
1002
3x + 6 = 1002
3x = 996
X = 332
st
1
332
2nd 334
rd
3 336
The
sum of 4 consecutive numbers add up
to 4810. Find the four numbers.
st
1
1201
2nd 1202
rd
3 1203
4th 1204
The sum of three consecutive number is 250. Find all three
numbers.
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The distance AROUND an
object.
We must ADD all the sides!
Think: The “fence” that goes
around a shape.
Equation: 2l + 2w=P
What COVERS a shape
We must multiply two sides!
Think: The “carpet that covers
the shape
Equation: l x w = A
Steps
1.
Draw out rectangle
2.
Label the sides
3.
Add up the sides
4.
Solve for x
5.
Substitute x back into
expression to find length
and width
The height of a rectangle is three centimeters more than twice its
length. If the perimeter of the rectangle is 60 cm, what is its area?
1. Reasoning: Label the side lengths x and 2x + 3.
2. Add up the sides & solve: 2x + 4x + 6 = 60 ; x = 9
3. Substitute to find height. (2)(9) + 3 = 21.
4. Find the area of the rectangle.
5. Area is 189 cm squared.
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Area and perimeter worksheet