Modeling Two-Step Equations and Inequalities

What is the equation for this model ?

• 3x + 4 = 13

• 3x - 4 = -1

• 6x = 14

• -3x + 4 = 13

Tags

CCSS.HSA.CED.A.3

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

• 11

• 3.5

• -3.5

• -11

Tags

CCSS.6.EE.A.4

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?

• 
• 
• 
• 

Tags

CCSS.6.EE.B.8

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.

Tags

CCSS.7.EE.B.4B

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.

Tags

CCSS.7.EE.B.4B

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.

Tags

CCSS.HSA.CED.A.3

Which graph matches the inequality
k < 3?

• A

• B

• C

• D

Tags

CCSS.6.EE.B.8

Write an expression. 
Anita needs at least an 90 grade (g) on her test to get an A in math class.

• g ≤ 90

• g ≥ 90

• g < 90

• g > 90

Tags

CCSS.6.EE.B.8

126 < f + 32

• f > 94

• f < 96

• f < 94

• f < 55

Tags

CCSS.7.EE.B.4B

The goal of solving a one, two, or multi-step equations is to:

• Find the constant

• Find the coefficient

• Find the value of the variable

• Guess and check

Tags

CCSS.7.EE.B.4A