Properties of Equality
Which property of equality needs to be used to solve for x?
6 + x = 12
subtraction
Solving Equations
Solve for x.
x + 3 = 7
What is:
x = 4
Solving Inequalities
Solve for c.
c - 11 > 22
What is:
c < 33
The identical inequality of x > 23 is 23 < x
True
What is Model's mascot?
Blue Devil
Which property of equality needs to be used to solve for y?
20y = 40
division
Solving Equations
Solve for x.
2x = 8
What is:
x = 4
What are two possible solutions for x?
2x < 6
x: 0,1, 2
The identical inequality of 6 < m is 6 > m
False
Every week Michelle is paid d dollars for working h hours. What is the dependent variable? Explain.
d is the dependent variable because the amount of money she earns DEPENDS on the amount of hours she works
Which property of equality is being shown in the example below?
18 - 18 + j = 35 - 18
subtraction
Solving Equations
Solve for x.
9 + x = 15
What is:
x = 6
Write an inequality
S is at most 55
s <= 55
We use a closed circle to represent the inequalities < and >
False
Coach Lambert is babysitting his nephew and is getting paid $20 and hour. What is the independent variable?
Number of hours
Which property of equality needs to be used to solve for g?
g/42 = 30
multiplication
Solve for v.
9v = 27
v= 3
Write an Inequality
Brianna, who is not yet 21 years old, is 2 years older than Lily.
x + 2 < 21
y > 72 is identical to 72 < y
True
What is the difference between an equation and an expression?
An equation has an equal sign and an expression does not.
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.
Solve for r.
r/25 = 5
r = 125
Modeling and Solving Inequalities
Create an inequality to represent the scenario and solve the inequality
Julie earns $7 for each car she washes. This week, she wants to save more than $56. How many cars must she wash?
What is:
7c > 56
Inequalities only have one solution, just like equations.
False. Inequalities have infinitely many solutions.
How many years has Coach Lambert taught at Model? How many Years has he taught in all?
I have only taught at Model for two years, in total I have taught for 7.