Vocabulary
Writing an Expression
Solving an Equation
Inequalities
Graphing Inequalities
100
A symbol that stands for a number
Variable
100
eight plus 2 times 3
8 + 2 x 3
100
3 + m = 12
m= 9
100
The perimeter of an equilateral triangle is at most 75 centimeters. Find the possible length of each side.
What is 3x is less than or equal to 75?
The possible length of each side is at most 25 cm.
100
graph x > 1
open circle at 1 with an arrow to the right
200
The number placed before and will be multiplied by the variable in an algebraic expression.
Coefficient
200
6 minus y
6 - y
200
12.2 - x = 9.8
x= 2.4
200
Write an algebraic inequality for the word phrase and simplify
14 subtracted from (-k) is less than 47
What is -k-14 < 47?
K>(-61)
200
graph x < -2
open circle at -2 with an arrow to the left
300
A mathematical sentence with an equal sign
Equation
300
the sum of 2 and 4 times 2
(2 + 4) x 2
300
3m = 39
m = 13
300
Solve
10 - 2r > (-58)
r < 34
300
graph x is greater than or equal to -7
closed circle at -7 with an arrow to the right
400
The relation between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Inequality
400
the product of 3 and 4 divided by 6 plus 2
(3 x 4)/6 + 2
400
56/y = 7
y= 8
400
In her 4th run, Ms. Fish scored 65 points. In her first 3 runs she scored 84, 95, 82 points. How many would she have needed to get on her 5th run to get a qualifying average score of at least 85 points to go to the next level of the Olympic BUNNY SLOPE competition? Write an inequality and solve.
DOUBLE JEOPARDY
(45+84+95+82+x)/5>80
x>99
She needed to score at least 99 points.
400
Explain when you would use an open circle when graphing inequalities.
When the starting number is not included in your solution.
500
The value that makes an equation true
Solution
500
(7-5) /8
the difference of 7 and 5 divided by 8
500
(3 x 4) / 2y = 3
y= 2
500
Nika, Rob and Catie want to start taking Yoga classes. The fees to the studio are:
Deb's Yoga Den $120 Yearly Fee and $6/class
Harrison's Hot Yoga $90 Yearly Fee and $8/class
After how many classes will Deb's studio be cheaper than Harrison's studio?
120+6x<90+8x
x>15
After 15 classes Deb's studio will be cheaper than Harrison's.
500
When would you use a closed dot when graphing inequalities?
when your starting number is included in your solution.