2 step equation word problems

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

What is the first step to solve the equation x + 5 = 12?

Back

Subtract 5 from both sides to isolate x: x = 12 - 5.

Front

What is the solution to the equation 2x = 16?

Back

Divide both sides by 2 to find x: x = 16 / 2 = 8.

Front

If a word problem states 'twice a number decreased by 4 equals 10', how would you write this as an equation?

Back

2x - 4 = 10.

Front

What does it mean to 'reduce' in a word problem?

Back

To 'reduce' means to subtract or decrease a quantity.

Front

How can you check if your solution to a two-step equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the relationship between a word problem and a two-step equation?

Back

A word problem can often be translated into a two-step equation to find the unknown quantity.

Front

In the problem 'Jill sold half of her comic books and then bought sixteen more. She now has 36. How many did she begin with?', what is the first step to solve it?

Back

Let x be the number of comic books Jill started with. The equation is (1/2)x + 16 = 36.

Front

What is the solution to the equation x - 10 = 24?

Back

Add 10 to both sides to find x: x = 24 + 10 = 34.