Understanding Variables
In the equation 2x + 3y = 12, identify the two variables.
What are x and y?
Rearrange the equation x + 3y = 7 to solve for x.
What is x = 7 - 3y?
For the expression 3x + 5x, combine like terms
What is 8x?
Which property is used to solve the equation x + 5 = 12 by subtracting 5 from both sides?
What is the subtraction property of equality?
If Sally has three times as many apples as Tom, and together they have 16 apples, express the relationship using an equation
What is x + 3x = 16?
What is finding the value of one variable in terms of the other?
In the equation 5 = 2a + b, solve for b.
Simplify: 4x + 7 - 2x + 3
What is 2x + 10?
In the system of equations x + y = 6 and y = 2x, substitute to solve for x.
What is x = 2?
In a test, the sum of two numbers is 20 and one is twice the other. Set up the equation.
What is x + 2x = 20?
In the equation y = 5x + 3, what is y called with respect to x?
What is the dependent variable?
Rewrite the equation 3x + 4 = y in terms of x.
What is x = (y - 4) / 3?
Combine like terms in the expression 5y - 3 + 2y + 9
What is 7y + 6?
How do you solve the equation 3(x - 1) = 9?
What is first distribute the 3 to get 3x - 3 = 9, then add 3 to both sides and divide by 3?
A rectangle's length is twice its width. If its perimeter is 36, write the equations.
What are l = 2w and 2l + 2w = 36?
What do you call a pair of values that make the equation true in both two-variable equations like 2x - y =4?
What is a solution?
Solve for y in the equation 7x = 2y - 5.
What is y = (7x+ 5) / 2?
Simplify: 6a - 2b + 4b - 3a
What is 3a + 2b?
If x + 2y = 10 and x = y + 1, substitute to find y
What is y = 3?
If a train travels 60 miles per hour and another 45 miles per hour, they start together and are 210 miles apart after a certain time. Formulate the equation to find the time
What is 60t + 45t = 210?
How many solutions are there when two lines in a two-variable system are parallel
What is zero solutions?
Solve for x in the equation: 3(2x - 4) = 4x + 10
What is x = 11?
Combine the terms 9m - 4n + n - 3m + 7
What is 6m - 3n + 7?
Use the elimination method to solve the system: 2a + 3b = 12 and 4a - 3b = 6
What is a = 3 and b = 2?
Mary's age is four years less than twice Anne's age. If the sum of their ages is 32, set up the equations and find their ages.
What are m = 2a - 4 and m + a = 32 where m is 20 and a is 12?