Week 15 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.

Front

If a problem states '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 does it mean to 'divide evenly' among a group?

Back

To divide evenly means to distribute a total amount so that each person in the group receives the same quantity.

Front

In the problem 'The Cooking Club made some pies to sell at a basketball game. Each pie was cut into five pieces and sold. There were a total of 60 pieces to sell. How many pies did the club make?', how do you find the number of pies?

Back

Divide the total number of pieces (60) by the number of pieces per pie (5). So, 60 ÷ 5 = 12 pies.

Front

What is the equation to find Aliyah's initial amount of candy if she took 10 pieces for herself and each of her 4 children received 2 pieces?

Back

Let x be the initial amount of candy. The equation is x - 10 = 4 * 2.

Front

How do you represent Imani's allowance problem as an equation?

Back

Let x be Imani's weekly allowance. The equation is (1/2)x - 4 = 12.

Front

What is the total number of pieces of candy Aliyah had if she started with 18 pieces?

Back

After taking 10 for herself, she had 8 left, which she divided among her 4 children, giving each 2 pieces.

Front

If Sumalee had 40 bouncy balls and gave 2 to each of her friends, how do you find the number of friends she has?

Back

Let x be the number of friends. The equation is 40 - 2x = 8.