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 property is shown with 3(4x+2) = 12x + 6?
Distributive Property
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
Any values less than 3.
The identical inequality of 6 < m is 6 > m
False
Find the value of the expression 3x2 + 7y when x = 9 and y = 2.
Show your work.
3(9)2+7(2)
3(81) + 7(2)
243+14
257
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
At the gym, Hillary swims every 3 days, runs every 5 days, and cycles every 12 days. If she did all three activities today, in how many days will she do all three activities again on the same day?
60 days
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 property is shown by the equivalent expressions?
3 + 4 + 6 = 6 + 3 + 4
Commutative Property
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
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?
7c > 56
Inequalities only have one solution, just like equations.
False. Inequalities have infinitely many solutions.
Simplify the expression:
3(x-5) + 63 + 4x -12
3(x-5) + 63 + 4x -12
3x - 15 + 216 + 4x - 12
7x + 189