Quiz
WRITING TWO STEP EQUATIONS
Create a free account to finish this quiz
Save your progress and see your final score.
Already have an account? Sign in
Questions in this quiz (7)
1You can write two-step equations to represent real-world problems by translating the words of the problems by translating the the words of the problems into numbers,______
- Anumbers,variables, and operations
- Bcost,algebraic expression,inequality
2When you write a verbal description of a two-step equation you can also write a verbal description to fit a two-step equation.
- ATrue
- BFalse
3A one-year membership to Metro Gym costs $460. There is a fee of $40 when you join, and the rest is paid monthly. Write an equation to represent what you will pay monthly for the yearlong membership. Write an equation that would help members find how much they pay per month. This will be the variable in the equation. Let m represent the amount of money members pay per month.
[What Steps Come First]- AAnalyze what each part of the equation means mathematically. x is the solution of the problem, the quantity you are looking for.5x means that, for a reason given in the problem, the quantity you are looking for is multiplied by 5.+ 50 means that, for a reason given in the problem, 50 is added
to 5x. - BSTEP 1 Identify what you are trying to find. This will be the variable in the equation. Let m represent the amount of money members pay per month.
STEP 2 Identify important information in the problem that can be used to help write an equation.one-time joining fee: $40 fee charged for 1 year: 12 · m total cost for the year: $460Convert 1 year into 12 months to find how much members pay per month.
STEP 3 Use words in the problem to tie the information together and write an equation.The equation 40 + 12m = 460 can help members find out their monthly fee.Reflect
2. Multiple Representations Why would this equation for finding the monthly fee be difficult to model with algebra tiles?
3. Can you rewrite the equation in the form 52m = 460?
- AAnalyze what each part of the equation means mathematically. x is the solution of the problem, the quantity you are looking for.5x means that, for a reason given in the problem, the quantity you are looking for is multiplied by 5.+ 50 means that, for a reason given in the problem, 50 is added
4Write a corresponding real-world problem to represent 5x + 50 = 120
- ASTEP 1 Analyze what each part of the equation means mathematically.x is the solution of the problem, the quantity you are looking for.5x means that, for a reason given in the problem, the quantity you are looking for is multiplied by 5.+ 50 means that, for a reason given in the problem, 50 is added
to 5x.= 120 means that after multiplying the solution x by 5 and adding
50 to it, the result is 120.
STEP 2 Think of some different situations in which a quantity x might be multiplied by 5.My Notes
You have x number of books, each weighing 5 pounds, and you want to know their total weight.
You save $5 each week for x weeks and want to know the total amount you have saved.
STEP 3 Build on the situation and adjust it to create a verbal description that takes all of the information of the equation into account.
• A publisher ships a package of x number of books each
weighing 5 pounds, plus a second package weighing
50 pounds. The total weight of both packages is
120 pounds. How many books are being shipped?
• Leon receives a birthday gift of $50 from his parents.
Each week he saves $5.
How many weeks will it take
for him to save $120? - BSTEP 1Write an equation to represent the problem. Let w = the weight of a bat in ounces.
STEP 2Use inverse operations to solve the equation.It is helpful to reverse the order of operations when solving equations that have more than one operation.Subtract 12 from both sides.Divide both sides by 5.Each bat weighed 30 ounces
STEP 3Graph the solution on a number line.
- ASTEP 1 Analyze what each part of the equation means mathematically.x is the solution of the problem, the quantity you are looking for.5x means that, for a reason given in the problem, the quantity you are looking for is multiplied by 5.+ 50 means that, for a reason given in the problem, 50 is added
5Use algebra tiles to model and solve 3n + 2 = 11.
STEP 1Model the equation.
STEP 2Remove 2 + 1-tiles from each side of the mat.Since there are +1-tiles on both sides of the equation, you can remove, or subtract, 2 + 1-tiles from each side to help isolate the variable.
STEP 3Divide each side into 3 equal groups.- AThe solution is n=3
- BThe solution is x=8
6STEP 1Write an equation to represent the problem. Let w = the weight of a bat in ounces.
STEP 2Use inverse operations to solve the equation.It is helpful to reverse the order of operations when solving equations that have more than one operation.Subtract 12 from both sides.Divide both sides by 5.Each bat weighed 30 ounces
STEP 3Graph the solution on a number line.- AEach bat weighed 390 ounces
- BEach bat weighed 80 ounces
- CEach bat weighed 30 ounces
7After first doubling the weight being pulled by a dog sled, the sled driver
removes 20 pounds. The final weight of the dog sled is 180 pounds. The
equation 2w - 20 = 180 can be used to find w, the initial weight of the
sled. Determine which, if any, of these values is a solution: w = 60;w = 80; w = 100.
STEP 1 Substitute each value for w in the equation 2w − 20 = 180.w = 602 (60) - 20 = 180w = 802 (80) - 20 = 180w = 100 2 (100) - 20 = 180
STEP 2 Evaluate to see if a true equation results- A2w − 20 = 180 w = 602
- B2 (100) - 20 = 180
Information
- Description
- Quiz on WRITING TWO STEP EQUATIONS, created by abigailruiz2003 on 09/02/2016.
- Author
- abigailruiz2003
- Language
- English
- Views
- 6
- Rating
- No ratings yet Rate this quiz