Substitution
Properties of Equality
Addition/Subtraction
Multiplication/Division
100

Tell which given value, if any, is the solution to the equation. 

9 + a = 46

a = 37,39,41,55

a = 37

100
Tell which property of equality was used. 


4y = 48

4y / 4 = 48 / 4

Division Property of Equality.

100

Solve. 

g - 8 = 25

g = 33

100

Solve.

4r = 20

r = 5

200
Tell which given value, if any, is the solution to the equation. 


8c = 64

c = 6,7,8,9

c = 8

200

Tell which property of equality was used. 

14 + s = 28

(14 + s) - 2 = 28 - 2

Subtraction Property of Equality

200

Solve. 

25 + y = 42

y = 17

200

Solve. 

1 = u/2

u = 2

300

Tell which given value, if any, is the solution to the equation. 

14 = u/6

u = 78,81,84,90

u = 84

300

Tell which property of equality was used. 

88 = 33 + 5x 

88 + 4 = (33 + 5x) + 4

Addition Property of Equality

300
Explain how to solve for n in the following equation. 


n + 25 = 233

Subtract 25 from each side. 

300

Solve.

16d = 2,864

d = 179

400

Tell which given value, if any, is a solution to the equation.

6.8 = 2.89 + m 

m = 3.9, 3.91, 4, 4.11

m = 3.91

400

Answer yes or no and explain why or why not.

If 10 x 3 = 30, does 10 x 3 + 4 = 30 + 5?

No because they added 4 to one side, and 5 to the other.

400

Only 12 students can be in the next school play. Let t represent the number of student who tried out. The number of students who tried out, but did not get a role is 42. 

Write an equation to represent this situation. 

t - 12 = 42

400

Solve. 

180 = g/12

g = 2,160

500

Tell which given value, if any, is a solution to the equation. 

d / 5.20 = 2.40 

d = 10.92, 16.12, 17.68

No solution is given in the set of values. 

500

Which equation is NOT equivalent to 5 + n = 10? 

a. 5 + n - n = 10 - n

b. 5 + n - 5 = 10 - 10

c. 5 + n - 5 = 10 - 5


b is not equivalent
500

In the equation 8x - 1 = 3x + 4 the variable x represents the same value. Which value of x is the solution of the equation; x = 0, 1 , 2 , or 3?

x = 1

500

There are 45 houses in Grey's Lake subdivision. Each house uses 400 gallons of water each day. Write a division equation to represent the total number of gallons of water used daily in Grey's Lake subdivision.

w / 45 = 400