Download Solving One-Step Equations

Assignment - Quiz
1)
Write an algebraic expression for the verbal expression
twice x
2)
Write a verbal expression for the algebraic expression
4m4
3)
Evaluate the following expression:
4)
List the 4 steps in the order of operations.
the quotient of 108 and 4
5) Evaluate the numerical expression
52 – 2 ∙ 4 + (7 – 2)
6) Evaluate the numerical expression
8 + 2(4 − 1)
32 − 2
7) Evaluate the algebraic expression
3y2 + 2y – 7
if w = 2, x = 6, y = 4, and z = 5
8) Evaluate the algebraic expression
𝑥2 − 3
2𝑧 + 1
if w = 2, x = 6, y = 4, and z = 5
Class Starter
Evaluate
15 + [
8-16-13
2𝑐(𝑎 + 𝑏 − 18)
𝑐÷3
a = number of days in a week
b = number of months in a year
c = number of hours in a day
]
if…
pg. 7
Open Sentences
A mathematical statement with one or more variables is called an
open sentence.
An open sentence is neither true or false until the variables have been
replaced with numerical values.
The process of finding a value for a variable that results in a true
sentence is called solving the open sentence.
This replacement value is called a solution.
Example:
The replacement value 6
is a solution to the equation 5(x + 2) = 40
because the value makes the open sentence true.
Sets
A set of numbers that can replace a variable is called a replacement set.
A set is a collection of objects or numbers. It is often shown using
braces { } and is usually named by a capital letter.
Each object or number in the set is called an element.
The solution set of an open sentence is the set of elements from the
replacement set that make an open sentence true.
Example:
The set S = {5} is a solution set of the equation 6n + 7 = 37.
5 is an element of the set S
Inequalities
An open sentence that contains any of the symbols
< ≤ > ≥
is called an inequality.
Find the solution to the equation if the
replacement set is {10, 11, 12, 13, 14, 15}
3x – 7 = 29
Find the solution set for
if the replacement set is
2
5
x+ =
{
3
1
20
1 1 3
, ,
4 2 4
,1,
1
1
4
}
Find the solution set for
16(x + 2) = 70.4
if the replacement set is
{2.2, 2.4, 2.6, 2.8}
Find the solution set for 18 – y < 10
if the replacement set is {7, 8, 9, 10, 11, 12}
Use Order of Operations to Solve the Equation
13 + 2(4)
3(5 −4)
=q
Assignment – Open Sentences
Algebra Textbook
pgs. 18-19
# 5-33 odd, *omit 13, 27