Modeling Two-Step Equations and Inequalities

Modeling Two-Step Equations and Inequalities

7th Grade

17 Qs

quiz-placeholder

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Modeling Two-Step Equations and Inequalities

Modeling Two-Step Equations and Inequalities

Assessment

Quiz

Mathematics

7th Grade

Hard

Created by

Anthony Clark

FREE Resource

17 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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What is the equation for this model ?

3x + 4 = 13

3x - 4 = -1

6x = 14

-3x + 4 = 13

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If −𝟐(𝟓.𝟓𝒙 − 𝟔.𝟑) is equivalent to 𝒎𝒙 + 𝟏𝟐.𝟔, what is the value of 𝒎?

11

3.5

-3.5

-11

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A tourist wants to spend at most $𝟑, 𝟓𝟎𝟎 on a cross-country adventure. The tourist has already spent $𝟕𝟓.

If the tourist has 10 weeks left in the trip, which inequality and graph represent the maximum amount of money 𝒎 the tourist can spend per week to stay within budget?

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Media Image
Media Image
Media Image

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

A teacher asks a student to write and solve an inequality to find what numbers satisfy the statement that 3.2 more than 7 times a number, 𝒏, is less than 17.2. The table shows the student’s work. Which statement is true?

The student’s work in all of the steps is correct because all numbers less than 7 satisfy the

statement.

The student made a mistake writing the inequality before Step 1. The correct inequality that

represents the statement is 3.2𝑛 + 7 < 17.2.

The student made a mistake between Step 1 and Step 2 by subtracting 3.2 from both sides of

the inequality instead of adding 3.2 to both sides of the inequality.

The student made a mistake between Step 2 and Step 3 by subtracting 7 from the right side

of the inequality instead of dividing both sides of the inequality by 7.

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The inequality 𝟐𝒄 − 𝟑 < 𝟗 represents the amount of money a student can spend on 𝒄 candy bars. Which statement is true?

The solution to the inequality is 𝑐 < 3, and it represents that the student can buy a maximum of 3 whole candy bars.

The solution to the inequality is 𝑐 < 3, and it represents that the student can buy a maximum of 2 whole candy bars.

The solution to the inequality is 𝑐 < 6, and it represents that the student can buy a maximum of 6 whole candy bars.

The solution to the inequality is 𝑐 < 6, and it represents that the student can buy a maximum of 5 whole candy bars.

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A senior class saves money for the school prom. The class currently has $𝟒𝟎𝟎 saved and wants a total of $𝟕, 𝟔𝟎𝟎 for the prom. The class saves $𝟖𝟎 each day, 𝒅, to reach its goal. Which statement is true?

The equation 80𝑑 + 400 = 7,600 can be used to find that it will take 90 days for the class to

reach its goal at the current savings rate.

he equation 80𝑑 + 400 = 7,600 can be used to find that it will take 100 days for the class to reach its goal at the current savings rate.

The equation 80(𝑑 + 400) = 7,600 can be used to find that it will take 90 days for the class to reach its goal at the current savings rate.

The equation 80(𝑑 + 400) = 7,600 can be used to find that it will take 100 days for the class to reach its goal at the current savings rate.

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which graph matches the inequality
k < 3?

A

B

C

D

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