MrV’s Solving Word Problems

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MrV’s Solving Word Problems. 1. Read the whole problem slowly, all the way through HW only : Write down the Problem # and summarize BRIEFLY Examples : “76. Spaulding Co. Checking” “78. Monthly Car Expenses” 2. Find the Question that is asked (there may be more than 1)

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MrV’s Solving Word Problems

1. Read the whole problem slowly, all the way through

HW only: Write down the Problem # and summarize BRIEFLY

Examples: “76. Spaulding Co. Checking” “78. Monthly Car Expenses”

2. Find the Question that is asked (there may be more than 1)

HW/Test: Re-Write it as an Answer Form with measures but no value

Examples: “\$_____total deposits” “\$_____ each month” “___cm by ___cm”

3. Find the numbers within the problem

HW/Test: List the numbers and their meanings

4. Figure out how to compute the numbers to get the answer

HW/Test: Find the = , create the equation, and solve to get an answer value

HW: If it matches the book’s answer, copy into the Answer Form and circle it. If it doesn’t match, either: correctly redo the problem ormark it wrong.

Test: Double-check the copied numbers and your calculations: fix (if needed), then copy the value(s) to Answer Form

Divide the Word Problem into two expressions:

Find the = Sign

Phrases that

Mean “=“

Equals

Is (was)

Represents

Is equal to

Has

Is the same as

Amounts to

First Part

of the Word Problem

Other Part of the Word Problem

This is how to show the original problem in your homework when you are doing word problems.

Ex1.

The number

is 5

The sum of four times the number(n) and six

Two times the sum of a number(n) and eight

equals

2(n + 8)

=

4n + 6

Five times the sum of the number (n) and twelve

Nine less than twice a number (n)

Pr1.

The number

is -23

is

2n – 9

=

5(n + 12)

n n+2 n+4

Ex2. The even integers are 4, 6, 8

6 more than sum of 1st and 3rd

3 times the 2nd integer

is

3(n + 2)

=

(n + n + 4) + 6

3n + 6 = 2n + 10

– 2n – 6 = – 2n – 6

n = 4

n n+1 n+2

Ex2. The integers are -5, -4, -3

Sum of 1st, 2nd, and 3rd

– 12

is

n + (n + 1) + (n + 2)

=

– 12

3n + 3 = – 12

– 3= – 3

3n = – 15

n = – 5

Ex3. Sun’s Fahr Temp is 11,240F

4740 less than Fahrenheit temperature(f)

6500K Kelvin temperature

is

6500

=

f – 4740

Pr3. _4_ carbon atoms

Twice the number of carbon atoms(c) in a butane molecule

Octane molecule has 8 carbon atoms

represents

8

=

2c

Ex4: Shorter is _4 ft, longer is _6 ft

Draw a diagram:

Three times the shorter (x)

Twice the length of the longer (10 ‒ x)

is

3x

=

2(10 – x)

Pr4: _134 10-speeds made daily

Four times the # of 3-speeds (160 – t)

30 less than the # of 10-speeds (t)

equals

4(160 – t)

=

t - 30