Unit Summary 1
Class: Math 8
Unit: Integers and Solving Basic Equations
I. Big Ideas:
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Students will understand how to translate a verbal expression into a mathematical expression.
Students will understand how to set up and solve equations to help determine the answers to
real-life problems.
Students will understand how to use integers to model real world situations.
II. Topics that will be covered:
1. Applying the order of operations
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III.
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Evaluating expressions with variables
Operations with integers
Absolute value problems
Word problems with adding, subtracting, multiplying, and dividing integers
Simplifying expressions by adding like terms
Using the distributing property
Solving equations with addition and subtraction
Solving equations with multiplication and division
Modeling verbal expressions
Using vocabulary related to the unit (Rational, irrational, etc.)
Solving two step equations
Solving multi-step equations
Solving equations with variables on both sides
Solving equations with the distributive property
Essential Questions:
Why is it important to use the correct order of operations?
How can I use the distributive property to write equivalent expressions?
How would you determine that two terms are alike?
How can I predict the outcome of operating with integers?
How does absolute value relate to integers?
What are you solving for when you solve an equation?
IV.
Sample questions to answer by the end of the unit:
1) A submarine is traveling at a depth of 1050 ft below sea level. It rises to a depth of
800 ft below sea level. Which of the following models can you use to find how many
feet the submarine rose? Solve the correct model.
A) -1050 – x = -800
B) -1050 + x = -800
C) -1050 + x = 800
D) 1050 – x = 800
2) –5 – 4  2 + -10 =
3) 3(x + 4) =
4) 3x + 5 - 9x – 4 =
5) 5(x – 3) + 2x – 10 =
6) Determine the perimeter of the following rectangle.
5x + 8
3x – 1
7) x + 9 = 12
8) 3x = 54
9) ½ x = -13
10. Translate the following to
an equation and solve.
The sum of a number and 10 is 40.
Solve for x.
11) 2x + 4 = 16
12) 4x – 6 = 18
13) -3x + 8 = 23
14) 4x + 8 + 2x = 20
15) 3x – 5 – x = 17
16) 5(2x + 3) = 85
17) 60 = 2(2x – 1)
18) 12x + 4 – 3x = 58