Algebra: Turning word problems to equations
We will examine 3 math olympiad problems, turn them into equations and solve:
The back of this sheet has the equations! Don't look until the coach tells you to!
- 2015 5th grade algebra, problem 4:
- Problem statement:
When a one-digit number is multiplied by 8, it increases by 42. What is the one-digit number?
- Write the equation (use N for the number):
__________________________
- Solve the equation: N = ______
- 2008 6th grade number sense, problem 3:
- Problem statement:
Eddie has saved $1,200 which is 32% of the price of a used car that he wants to buy. What is the price of the car?
- Write the equation (use C for the price of the car):
_________________________
- Solve the equation: C = ______
- 2009 6th grade algebra, problem 1:
- Problem statement:
Jane bought a 36 inch rope of licorice to share with her brother Andy. She gave Andy a piece that is three inches more than half the length of her piece. How long is Andy's piece of licorice?
- Let J = length of Jane's piece.
1. Then the expression for Andy's piece is
"3 inches more than half of Jane's piece" =
___________________.
2. Make an equation that adds Jane's and Andy's pieces and sets them equal to the whole length = _______________________.
- Solve the equation for A: _____
Problem statements with equations
- 2015 5th grade algebra, problem 4:
- Problem statement:
When a one-digit number is multiplied by 8, it increases by 42. What is the one-digit number?
- Write the equation (use N for the number):
8N = N + 42
- Solve the equation: N = ______
- 2008 6th grade number sense, problem 3:
- Problem statement:
Eddie has saved $1,200 which is 32% of the price of a used car that he wants to buy. What is the price of the car?
- Write the equation (use C for the price of the car):
0.32 C = 1200
- Solve the equation: C = ______
- 2009 6th grade algebra, problem 1:
- Problem statement:
Jane bought a 36 inch rope of licorice to share with her brother Andy. She gave Andy a piece that is three inches more than half the length of her piece. How long is Andy's piece of licorice?
- Let J = length of Jane's piece.
1. Then the expression for Andy's piece is
"3 inches more than half of Jane's piece" =
A = J/2 + 3
2. Make an equation that adds Jane's and Andy's pieces and sets them equal to the whole length =
J/2 + 3 + J = 36
- Solve the equation for J: _____
- Now solve for A: _________
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