Solve for ____
What does it mean to "solve for x"?
What is: getting x by itself on one side of the equation (i.e. x = ____)?
What are "equivalent equations?"
What is: Equivalent equations are equations that have the exact same solution?
Peanuts (p) cost $1 per pound. Almonds (a) cost $3 per pound. Stevens spends $15 dollars in total. Write an equation to represent this situation.
What does PEMDAS stand for?
What is: Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction?
Given the equation: 2y + 4x = 8, solve for y
What is y = 4 - 2x?
True or False:
x + 2 = 7 and x - 5 = 0 are equivalent equations
What is: True?
An equation for the amount of money Mariana spends on apples and bananas is: 3a + 4b = 28, where a represents pounds of apples and b represents pounds of bananas. If we know Mariana bought 1 pound of bananas, how many pounds of apples did she buy?
What is: 8 pounds?
The irrational number 3.1415.... is known as...?
What is pi?
Given the equation 2a + 3b = 2a + 1, solve for a
What does it mean for a number to be a solution to an equation?
What is: A number is a solution to an equation when you plug that number into the equation it makes the equation true?
Solve for the variable:
5 + 3a - 11 = 5(2a + 3)
a = -3
We cannot simplify 100x + 37y because...?
What is: they are not like terms?
Given the equation 5x = x, solve for x.
What is: x = 0?
Create an equation that is equivalent to: 2x + 4 = 19
Answers may vary.
Julia has $1500 in her bank account. She's trying to save some money and decides to save $100 every month.
a. Write an equation representing her total amount of money, W, after m months.
b. How much money will she have after one year?
a. W = 1500 + 100m
b. 2700
A point on a graph is written in the form (x, y). What is this notation called?
What is: ordered pair?
Given the equation -3p + 5(2p - 1) = 7p - 13 + 2p , solve for p.
p = -4
Explain why an x value that makes Equation 1 true does not make Equation 2 true.
Equation 1: 2x + 4y = 12
Equation 2: x + 4y = 3
What is: They are not equivalent equations?
Find the intercepts of y = -2x - 8.
Make sure your answers and written in ordered pairs.
x-int: (-4, 0)
y-int: (0, -8)
Amaris says that a solution to the equation 2x - 6 = 7x must also be a solution to 5x - 6 = 10x.
Explain whether or not Amaris is correct.
What is: It is true because they are equivalent equations (added 3x to both sides is the equivalent move)?