Modeling Real-World Problems with One-Step Equations

Question 1

What are the steps, in the correct order, to write and solve an equation?

Revolt · Accepted Answer

1. Identify the variable.2. Identify the operation.3. Write an equation.4. Solve the equation.5. Check the solution.

Question 2

The cost of 5 pounds of apples is $6.45. Which statements can be used to solve for a, the cost of each pound of apples? Check all that apply.

Revolt · Accepted Answer

To solve, find the cost of 1 pound of apples; write a multiplication equation.; The correct equation for this problem is . Solve this problem by dividing both sides by 5.; Each pound of apples costs $1.29.

Question 3

Steve biked 8.4 miles, which was 1.8 miles fewer than Rhonda biked. He wants to write and solve an equation to find r, the number of miles that Rhonda biked. Which are part of the solution? Check all that apply.

Revolt · Accepted Answer

To solve, find the difference that Steve and Rhonda biked; this is a subtraction problem.; Rhonda rode for 10.2 miles.; The correct equation for this problem is . Solve the problem by adding 1.8 to both sides.

Question 4

Olaf needs a total of 3 cups of sugar to make 4 cakes. Write and solve an equation to find the number of cups of sugar he needs for each cake. Which number line shows the number of cups of sugar Olaf needs for each cake?

Revolt · Accepted Answer

A number line going from negative 1.5 to positive 1.5. A point is at positive 0.75.

Question 5

Sami cut inches off a long roll of paper. If the roll is now inches long, how long was the original roll of paper? Write an equation and solve it to find the answer.

Revolt · Accepted Answer

inches

Question 6

Malia has saved $18.50 to buy a hamster cage that costs $30. Which equation can she use to find s, the additional amount she needs to save?

Revolt · Accepted Answer

18 dollars and 50 cents + s = 30 dollars

Question 7

Don was asked to write an equation and solve this problem. A group of eight friends bought tickets to an amusement park and spent $134 total. How much did each ticket cost?Don’s work is shown below. StepsDon’s WorkStep 1Step 2Step 3 In which step, if any, did Don first make a mistake in his work?

Revolt · Accepted Answer

no mistake

Question 8

Jan and two of her friends raised money by having a bake sale. They split the proceeds. If each person received $32.19, how much money did the girls earn in total at their bake sale? Write an equation and solve it to find the answer.

Revolt · Accepted Answer

$96.57

Question 9

Morgan needs to earn $16.31 more to have $40.00. Four students wrote and solved equations to find m, the amount of money that Morgan has now. Which student wrote and solved the equation correctly?

Revolt · Accepted Answer

Sora’s work:

Question 10

Clara bought 16 cases of water bottles. There were 12 water bottles in each case. Four students wrote and solved equations to find b, the number of bottles that Clara bought. Which student wrote and solved the equation correctly?

Revolt · Accepted Answer

Sally’s work:

Modeling Real-World Problems with One-Step Equations Answers

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