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
x > 3
arrow to the right
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
4.5 < y
open circle
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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
x less than or equal to 1/4
closed circle
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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
Solve then Graph
x + 2.25 < 3.4
open circle on 1.15
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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.
solve and graph
3/4 > x + 1/2
open circle on 1/4
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