Properties of Equality
Solving Equations
Inequalities
True/False
100
Which property of equality needs to be used to solve for x?
6 + x = 12
subtraction
100
Solving Equations
Solve for x.
x + 3 = 7
What is:
x = 4
100
When graphing an inequality with the > sign will you use an open or closed circle?
open
100
The identical inequality of x > 23 is 23 < x
True
200
Which property of equality needs to be used to solve for y?
20y = 40
division
200
Solving Equations
Solve for x.
2x = 14
What is:
x = 7
200
When graphing an inequality with the < sign which direction would the arrow go?
To the left
200
The identical inequality of 6 < m is 6 > m
False
300
Which property of equality is being shown in the example below?
18 - 18 + j = 35 - 18
subtraction
300
Solving Equations
Solve for x.
9 + x = 15
What is:
x = 6
300
Write an Inequality
Webster has more than 12 toys.
x > 12
300
We use a closed circle to represent the inequalities < and >
False
400
Which property of equality needs to be used to solve for g?
g/42 = 30
multiplication
400
Solve for v.
9v = 27
v= 3
400
Write an inequality
S is at most 55
s <= 55
400
y > 72 is identical to 72 < y
True
500
Look at how this student solved the equation below:
4d = 32
4 x 4d = 32 x 4
d = 128
Did they use the correct property of equality? Explain.
No they used multiplication. They should have used division because division is the inverse operation of multiplication.
500
Solve for r.
r/25 = 5
r = 125
500
Is the following inequality graphed correctly? If not, what does the graph show?
x < 6
No, the graph shows x ≥ -6.
500
Inequalities only have one solution, just like equations.
False. Inequalities have infinitely many solutions.