One-Step Equations
Two-Step Equations
Three-Step Equations
Properties of Algebra
Misc.
100
What property of algebra is used to solve x - 6 = -7? Why?
addition property because it is the opposite of subtraction
100
What two properties are used to solve this equation 3x + 7 = 22... must be in the correct order
subtraction property and then division property
100
What three properties are needed to solve this equation 5(x + 4) = 35... list in order
distributive property, subtraction property, and division property
OR
division property and subtraction property
100
Antonio started the question 2x - 1 = 11 by writing 2x = 10. Which property justifies this step?
The Addition Property of Equality
100
How do you know if something is a function?
no repeated x-values
200
What property can be used to solve x + 2 = 7? Why?
subtraction property because it is the opposite of addition
200
What two properties are used to solve this equation x/5 - 4 = 31... must be in the correct order
addition property and multiplication property
200
What three properties are needed to solve this equation 2(x - 5) = -8... list in order
distributive property, addition property, division property
OR
division property and addition property
200
Mila used the subtraction property to justify the first step in solving an equation. The original equation was ½ x + 4 = 10. What could the equation have been transformed into after this step?
1/2 x = 6
200
What is the equation of a linear function?
y =mx + b
300
What property can be used to solve 2x = 10? Why?
Division property because it is the opposite of multiplication
300
Solve -3x + 7 = -5
x = 4
300
Solve 5(x + 4) = 35
x = 3
300
To more easily simplify an expression, Michael changed 2x + 3 + 5x + 2 into 2x + 5x + 3 + 2. What property justifies this step?
commutative property
300
How do you find slope on a graph?
rise/run
400
Solve x/5 = 10
x = 50
400
-0.3p + 50 = 44
p = 20
400
Solve 2(x - 5) = -8
x = 1
400
the distributive property
400
How do you know if something is a LINEAR function?
constant rate of change
500
Solve 1/2 x = -10
x = -20
500
Solve 3/4 x - 6 = 3
x = 12
500
⅚ (x - 2) = 5/2
x = 5
500
the commutative property and distributive property
500
What is the name of Mrs. Rand's baby?
Benjamin