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Modeling Equations
Solving One and Two Step Equations
Solve Equations with Variables on both sides I
Solve Equations with Variables on both sides II
100

Model the equation

5x=10

5 unshaded rectangles = 10 unshaded squares

100

Determine the value of x.

-4x = 20

x = -5

100

Determine the value of a

7a + 10 = 2a 

a=-2

100

Determine the value of x

72 + 1.5x = 68 + 2x

x=8

200

Model the equation

2x+3=9

3 unshaded rectangles, two unshaded squares = 9 unshaded squares

200

Determine the value of m.

-10m = 20

m =-2

200

Determine the value of b

3 - 10b = 2b - 9

b=1

200

Determine the value of z

2z - 31 = -9z + 24

z=5

300

Model the equation

3x-5=7

3 unshaded rectangles, 5 shaded squares = 7 unshaded squares

300

Determine the value of x.

12=3x-3

5=x

300

Determine the value of y

9 - 2y = 8y - 6

y=1.5

300

Determine the value of k.

4.5+1.5k=18−3k

k=3

400

Model the equation

-2x+4=-8+2x

2 shaded rectangles, 4 unshaded squares = 8 shaded squares 2 unshaded rectangles

400

Determine the value of x.

-2x + 5 = -9

x=7

400

Determine the value of y.

7/4y − 16 = 1/4y − 4

y=8

400

Determine the value of m

9 + 4m = 6 + 8m

m=3/4 or 0.75

500

Model the equation

3x-4+2x-3=6x+4+6+x-1

5 unshaded rectangles, 7 shaded squares = 7 unshaded rectangles, 9 unshaded squares

500

Determine the value of x.

1/2x - 4 + x= 17

x=14

500
Will averages 18 points a game and is the all-time scoring leader on his team with 483 points. Tom averages 21 points a game and is currently second on the all-time scorers list with 462 points. If both players continue to play at the same rate, how many games will it take for Tom and Will have scored the same number of total points.Write and solve.
7 games
500
If you pay a one-time fee of $30, you can purchase gold tickets for your local minor league baseball team for only $3 a game. Regular tickets sell at the stadium for $6. How many gold tickets would you need to buy to equal the cost of the tickets.
10 tickets