Solve for ____
Equivalent Equations
Equations with Context
Random Math
100

What does it mean to "solve for x"?

What is: getting x by itself on one side of the equation (i.e. x = ____)?

100

What are "equivalent equations?"

What is: Equivalent equations are equations that have the exact same solution?

100

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 is: p + 3a = 15?
100

What does PEMDAS stand for?

What is: Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction?

200

Given the equation: 2y + 4x = 8, solve for y

What is y = 4 - 2x?

200

True or False: 

x + 2 = 7 and x - 5 = 0 are equivalent equations

What is: True?

200

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?

200

The irrational number 3.1415.... is known as...?

What is pi?

300

Given the equation 2a + 3b = 2a + 1, solve for a

What is "no solutions"?
300

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?

300

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?

300

We cannot simplify 100x + 37y because...?

What is: they are not like terms?

400

Given the equation 5x = x, solve for x.

What is: x = 0?

400

Create an equation that is equivalent to: 2x + 4 = 19

Answers may vary.

400

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?

400

A point on a graph is written in the form (x, y). What is this notation called?

What is: ordered pair?

500

Given the equation 3p + 5q = 7p + 9q - 12, solve for p

What is: p = (-4q+12)/4 or p = -q + 3
500

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?

500
Given the equation 13yxz = 4, find an equation that will directly allow us to compute x.
What is: x = 4/(13yz)?
500

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)?

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