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.
This is what y=mx+b is called.
What is slope-intercept form?
0 * a = ?
What is 0?
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?
This is what m and b stand for in y=mx+b
What is slope and y-intercept
The formula to find the area of a square
What is side * side?
Given the equation 2a + 3b = 24 - c, solve for a
What is a = (24 - c - 3b)/2
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?
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 b pounds of bananas, how many pounds of apples did she buy?
What is: a = (28 - 4b)/3?
This is the slope of the line that goes through (3, 2) and (8, 5)
What is 3/5?
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.
To raise funds for uniforms and travel expenses, the soccer team is holding a car wash. The team plans to charge $10 per car and $20 per truck. Their goal is to raise $550.
How many trucks t do they need to wash to reach their goal if they wash c cars?
What is: t = (550 - 10c)/20?
The equation with the slope is -7 and y-intercept at (0, -10)
What is y = -7x - 10?
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 + 5q = 7p + 9q - 12, solve for p
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?
What are x-intercept and y-intercept of the equation y=-2x+2
x-intercept is (1,0) and y-intercept is (0,2)
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)?