Vocabulary
An equation that represents variables and known constants is ____?
Literal Equation
Solve for x:
(2x+8)/3 - 8 = 32
X = 56
Solve for x:
5x + 1 = 3x + 5
x = 2
Solve for x:
x-5>0 or 3x-1<8
x>5 or x<3
Solve for x:
|-6x+3|=27
x=-4 and x=5
An equation that states a relationship between one quantity and one or more other quantities is ____ ?
Formula
Solve for x:
x/9 - 8 = 1
x = 81
Solve for x:
-2x - 9 = 6x + 15
x = -3
Solve for x:
7≤ 4x+3<23
1≤x<5
Solve for x:
|5-2x|=11
x=-3 and x=8
A collection of objects such as numbers is ___ ?
Set
Solve for x:
2(x+1)+1=5
x = 1
Solve for x:
8x + 11 = 4x + 14
x = 0.75 or 3/4
Solve for x:
-6≤3x+6<8
-4≤ x<2/3
Solve for x:
|9-2x|=3
x=3 and x=6
A ___ makes up 2 or more qualities.
Compound Inequality
Solve for x:
10x + 15 = -50
x = -6.5 or -13/2
Solve for x:
7x - 4 = 11x - 9
x = 1.25 or 5/4
Solve for x:
-4<2x-8≤10
2<x≤ 9
Solve for x:
|3x -2|=19
x=7 and x= 17/3
A set consists of elements from a given set is ___ ?
Subset
Joe and Steve are saving money. Joe starts with $105 and saves $5 per week. Steve starts with $5 and saves $15 per week. After how many weeks do they have the same amount of money?
10 weeks
Brianne and Zoey are going to the store to buy some school supplies. Brianne buys 5 notebooks and $6.50 worth of pens. Zoey buys 8 notebooks and she is using a coupon for $2.50 off the total cost. If they spend the same amount of money, which equation represents this situation?
5x + 6.50y = 8x + y - 2.50
The recommended pH level for swimming pool water is between 7.2 and 7.6, inclusive. Let p be the pH level of swimming pool water
7.2 < p < 7.6
The average January temperature in a northern Canadian city is 1 degree Fahrenheit. The actual January temperature for the city may be about 5 degrees warmer or colder. write and solve an equation to find the minimum and maximum temperatures.
|t-1|=5
t=6 t=-4