MRY Ch 1.5 Complete Lesson: Solving Inequalities Using Multiplication or Division (45pts)

Last updated about 2 years ago
20 questions
Complete the lesson and answer the questions below.
3

Solve It! Drag the appropriate inequality sign to fill in each blank.

  • <
  • >
  • (4)(3) ___ (1)(3)
  • (4)(2) ___ (1)(2)
  • (4)(1) ___ (1)(1)
3

Solve It! Drag the appropriate inequality sign to fill in each blank.

  • <
  • >
  • (4)(-1) ___ (1)(-1)
  • (4)(-2) ___ (1)(-2)
  • (4)(-3) ___ (1)(-3)
3

Solve It! Consider the previous item. What happens to the inequality symbol when you multiply each side of an expression by a positive number? A negative number? Justify your reasoning.

1

Problem 1 Got It? What are the solutions of the inequality?

1

Problem 1 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.

1

Problem 2 Got It? What are the solutions of the inequality?

2

Problem 2 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.

7

Problem 3 Got It? A student club plans to buy food for a soup kitchen. A case of vegetables costs $10.68. The club can spend at most $50 for this project. What are the possible numbers of cases the club can buy? Categorize the number of cases.

  • 1 case
  • 2 cases
  • 3 cases
  • 4 cases
  • 5 cases
  • 6 cases
  • 7 cases
  • The club can afford:
  • The club can not afford:
1

Problem 3 Got It? Reasoning: In Problem 3, why do you round to the greater whole number?

1

Problem 4 Got It? What are the solutions of the inequality?

2

Problem 4 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.

4

Match each inequality with its graph.

  • x + 2 > -1
  • -x/3 < -1
  • x - 4 ≤ -1
  • -3x ≥ 9
  • Graph A
  • Graph B
  • Graph C
  • Graph D
3

Which operation would you use to solve each inequality on the right? Explain.

  • Addition; This inverse operation will isolate the variable in the inequality.
  • Subtraction; This inverse operation will isolate the variable in the inequality.
  • Multiplication; This inverse operation will isolate the variable in the inequality.
  • Division; This inverse operation will isolate the variable in the inequality.
2

Error Analysis: Describe and correct the error in the solution.

1

Review Lesson: Solve the equation.
Enter only a number.

1

Review Lesson : Solve the equation.
Enter only a number.

1

Review Lesson: Solve the equation.
Enter only a number.

3

Vocabulary Review: Drag the inequalities into the Inequality category.

  • 5 + x < 6
  • 7 - y ≥ 2
  • a + b = 12
  • m - 3 > 5
  • 2 + 3 = 3 + 2
  • Inequality
3

Vocabulary Review: Match each inequality on the left with its equivalent inequality on the right.

2

Reflection: Math Success