Variables on Both Sides
What is the first step to solve:
2x + 3 = x + 7
Subtract x from both sides
What is a multi-step equation?
An equation that requires more than one step to solve
What does it mean for two expressions to be equal?
They have the same value
8
How many bones does the human body have?
206
Solve for x:
3x - 5 = 2x + 4
x = 9
Solve for x:
3(x + 2) = 21
x = 5
Why is it necessary to perform the same operation on both sides of an equation?
To maintain equality/keep both sides equal or equivalent
What is the cube root of 729
9
How many stomachs does a cow have?
4
How do you check your solution for:
4x + 2 = 3x + 9
Substitute the value of x back into the original equation to verify both sides are equal
Explain how to solve
2(x - 4) + 3 = 9
Distribute 2, combine like terms, isolate & solve for x
How do you identify like terms in an equation?
Like terms have the same variable raised to the same power
Change 0.57575757575757... into a fraction
19/33
What artist painted the Mona Lisa?
Leonardo Da Vinci
If 5x + 1 = 2x + 10
What is the value of x?
x = 3
If 4(x + 1) - 3 = 13
What is x?
x = 2
What are inverse operations in mathematics?
Inverse operations are opposite operations that cancel each other out (+/-) (multiply/divide)
Is the square root of 29 rational or irrational?
Irrational
What is the largest organ of the human body?
Skin
Explain why it's important to isolate the variable in equations
Isolating the variable helps to find its value and understand the relationship between the variables
Solve
2x + 3(2x - 1) = 20
x = 3
Describe the steps to solve:
x/2 + 3 = 7
Subtract 3 from both sides, then multiply by 2 to isolate and solve for x
Is 0.343343334... rational or irrational? Give a reason why to support your answer.
Irrational - it has a predictable pattern, but is not repeating the same pattern
Which animal can lift up to 50 times it's body weight?
Ant