Warm-Up 1
Math 1 Summer Bridge
Day 3: Equations and Inequalities
Solve equations and inequalities while keeping both sides balanced.
Student Goal
I can solve multi-step equations and inequalities and explain what the solution means.
Why It Matters
Equations and inequalities are used throughout Math 1 to solve problems, compare quantities, and describe constraints.
Warm-Up
Warm-Up 2
What happens to the symbol when you divide -2x < 10 by -2?
Short Lesson
Standard Focus
NC.M1.A-REI.1 and NC.M1.A-REI.3: Solving equations and inequalities
Student-Friendly Standard Goal
I can justify steps for solving equations and inequalities in one variable.
- Use inverse operations to isolate the variable.
- Whatever you do to one side, do to the other side.
- Combine like terms before solving when it makes the equation simpler.
- When multiplying or dividing an inequality by a negative number, reverse the inequality symbol.
Guided Examples
Guided Example 1
Solve a Multi-Step Equation
Solve 3(x - 2) = 18.
Step 1
3(x - 2) = 18
Which efficient first step works?
Guided Example 2
Solve an Inequality
Solve -4x + 3 \ge 15.
Step 1
-4x + 3 \ge 15
What do you get after subtracting 3?
Practice
Problem 1
Solve 5x + 4 = 29.
Problem 2
Solve 2(x + 3) = 16.
Problem 3
Solve x/3 - 2 > 4.
Problem 4
Error analysis: A student solves -x > 7 and writes x > -7. What is wrong?
Problem 5
True or false: x = 4 solves 2x + 1 = 9.
Reflection
How are you feeling about today's skill?
Optional reflection: What is one step, word, or representation from today that you want to remember when Math 1 starts?