ax + b = c
x/a + b = c
a (x + b) = c
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Word Problems
100

x + 16 = 43

x = 27

100

x/4 - 2 = 4

x = 24

100

2(x - 9) = 12

x = 15

100

2 (x + 2)

2x + 4

100

If Riley doubled the money currently in his bank, he would have $82. How much money does Riley currently have?

$41

200

7x - 45 = 18

x = 9

200

Show whether x = -4 is a solution to

x/2 - 6 = -8

Yes! -8 = -8

200

Show whether x = 5 is a solution to

5 (x - 1) = 18

No! 20 =/= 18

200

5 (x + 8)

5x + 40

200

The formula E = -120 (T - 100) represents the amount of energy (E) that hikers need as a function of the outdoor temperature (T).

If the temperature is 10 degrees C, how much energy does a hiker need?

10,800 kJ

300

-14 + 9x = 31

x = 5

300

-x/7 + 39 = 31

x = 56

300

6 (-13 + x) = -36

x = 7

300

6 (x - 7)

6x - 42

300

The formula E = -120 (T - 100) represents the amount of energy (E) that hikers need as a function of the outdoor temperature (T).

If a hiker needs 13,800kJ of energy, what is the outdoor temperature?

-15 degrees C

400

82 - 4x = 54

x = 7
400

84 - x/5 = 72

x = 60

400

7 (15 - x) = 84

x = 3

400

2 (3x + 3)

6x + 6

400

A garden has an area of 40m2. It's width is 5m. It's length is 2m longer than a shed placed along the length. Let s represent the length of the shed. How long is the shed?

6 m

500

20 - 3x = 38

x = -6

500

-31 - x/12 = -42

x = 132

500

3 (-8 - x) = 24

x = -16

500

Gisele has a square fence of side length s. This is the old fence. She then decreases the length of each side by 2m. This is the new fence. The perimeter of the new fence is 32m. What is the side length of the old fence (s)?

s = 10m