Topic 4 Midpoint

4-1

100

Substitute each value of the variable to find which, if any, is a solution:

 7+d=22  

d=13, 14, 15, 16

d=15

200

Substitute each value of the variable to find which, if any, is a solution:  

12=96/x  

x=8, 15, 1152

x=8

300

Substitute each value of the variable to find which, if any, is a solution:  

13m=95 

m= 5, 6, 7, 8

No solution

400

Substitute each value of the variable to find which, if any, is a solution: 

5.2 - x = 1.8

x= 2.4, 3.2, 3.4, 3.6

x=3.4

500

Substitute each value of the variable to find which, if any, is a solution: 

 u+8.3=22.342

u= 13.281,    13.491,    13.749,     14.042

u=14.042

4-2

100

Which property of equality is used?

2m=10

2m+3=10+3

Addition Property of Equality

200

Which property of equality is used?

5m - 4=19

5m - 4 - 1=19 - 1

Subtraction Property of Equality

300

If 6s=24, does 6s/6=24/6 ? 

Yes or no? Explain

(/ means divided)

Yes because both sides of the equation are divided by the same number

400

If r+9=42, does r+9-9=42+9?

Yes or no? Explain

No, because one side is being subtracted by 9 and the other is being added by 9

500

Fill in the blank:

14+1+___=6+10+33

34

Add/Subtract Equations

100

Solve the equation: x+3=5

x=2

200

Solve the equation: 

10=x - 15

x=25

300

Solve the equation:

12.85= x - 4.34

x=17.19

400

Solve the equation:

5 2/3 = m - 4 3/5

m= 10 4/15

500

2 2/3 +y = 4 1/4

y= 1 7/12

Multiply/Divide Equations

100

Solve the equation:

2x=8

x=4

200

Solve the equation:

15= m/4

m=60

300

Solve the equation:

h/3= 1/7

h= 3/7

400

Solve the equation:

2/7x=3

x=10 1/2

500

Solve the equation: 

k/5= 8 3/4

k=43 3/4