Modeling Real-World Problems with One-Step Equations Answers

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Select all that apply.

A
You know the difference in the distances the boys ran, so this is a subtraction problem.
B
You are finding the total distance the boys ran, so this is an addition problem.
C
Dean ran part of the distance Sam ran, so this is a multiplication problem.
D
The correct equation is s + 2.3 = 6.8.
E
The correct equation is s – 2.3 = 6.8.
F
The correct equation is 2.3s = 6.8.
4

Write and solve an equation and then check your answer. Complete the statements.

Answers:
Write and solve an equation and then check your answer. Complete the statements. Graciella divided her grapes equally among 6 friends. If each friend received 16 grapes, how many grapes did Graciella:the number of grapes Graciella had
Write and solve an equation and then check your answer. Complete the statements. Graciella divided her grapes equally among 6 friends. If each friend received 16 grapes, how many grapes did Graciella:g/6 = 16
Write and solve an equation and then check your answer. Complete the statements. Graciella divided her grapes equally among 6 friends. If each friend received 16 grapes, how many grapes did Graciella:multiply by 6
Write and solve an equation and then check your answer. Complete the statements. Graciella divided her grapes equally among 6 friends. If each friend received 16 grapes, how many grapes did Graciella:g = 96
Write and solve an equation and then check your answer. Complete the statements. Graciella divided her grapes equally among 6 friends. If each friend received 16 grapes, how many grapes did Graciella:96
5

Identify the steps needed to write and solve an equation to solve the word problem. Select all that apply.

A
The variable, m, is equal to the amount of money Brooklyn has now.
B
The variable, m, is equal to the amount of money Brooklyn needs to earn.
C
The correct equation is 14 + m = 32.
D
The correct equation is 14m = 32.
E
To solve the equation, subtract 14 from both sides.
F
To solve the equation, divide 14 on both sides.
9

Explain how to write and solve the equation.Sonja paid $12.50 to see a movie and has $30 left. How much money did Sonja have before she paid for the movie?

Answer:

To find the original amount of money Sonja had, let s represent the starting amount. Since the movie cost $12.50 and she had $30 left, you can write the subtraction equation s - 12.50 = 30 (or 30 = s - 12.50). To solve for s, use the inverse operation of subtraction by adding 12.50 to both sides. This gives s = 42.50, meaning Sonja originally had $42.50.

10

Sample Response: $12.50 is the difference between the amount of money Sonja started with and $30. So this is a subtraction problem that can be written as 30 = s – 12.50. Undo subtraction by adding 12.50 to both sides. The answer is $42.50. Select all that you included in your response.$12.50 is the difference between the amount of money Sonja started with and$30. This is a subtraction problem that can be written as 30 = s – 12.50. Undo subtraction by adding 12.50 to both sides. The answer is $42

A
$12.50 is the difference between the amount of money Sonja started with and$30.
B
This is a subtraction problem that can be written as 30 = s – 12.50.
C
Undo subtraction by adding 12.50 to both sides.
D
The answer is $42.50.

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