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Warm Up
Vocabulary 
Variables Solve One-step equation 
Distributive property Solution term 
Like terms infinitely many solutions 
Algebraic expression inverse operation two-step equations 
constants no solution unique solution coefficients 
Linear equations in one variable 
Addition property of Equality additive inverse 
Cube root Decimal expansion exponent 
Exponential notation irrational 
Multiplication Property of Equality multiplicative inverses 
perfect square radical rational scientific notation 
significant digits Square Root
Learning Targets 
EQ: What vocabulary words will we learn during 
Unit 2? 
Today I will receive vocabulary words and 
definitions for Unit 2 because this will allow me to 
speak and understand the language of the 
standards. 
I can: 
Define one vocabulary word using my own terms.
Variable: A letter or 
symbol used to 
represent a number. 
Define 
Memory Cue 
X + 3= 10
Define 
Solve: Identify the value 
that when substituted 
for the variable makes 
the equation a 
true statement. 
Memory Cue 
X + 6 = 16 
- 6 - 6 
x = 10
Define 
One Step equation: 
equations that can be 
solved in one step 
Memory Cue 
x + 3= 10 
-3 = -3 
x = 7
Define 
Two Step equation: 
equations that can be 
solved in two steps 
Memory Cue 
7x + 3= 10 
- 3 = -3 
7x = 7 
7 7 
x = 1
Define 
Distributive Property: 
The distributive property 
lets you multiply a sum 
by multiplying each 
addend separately and 
then add the products 
Memory Cue
Term: Parts of an 
expression or 
equation separated 
by +, =, or – signs 
Define 
Memory Cue 
3x + 6x – 2 = 75
Define 
Solution - the set of all 
values which, when 
substituted for 
unknowns, make an 
equation true. 
Memory Cue 
x2 = 16 
x= 4 or x=-4
Define 
Like Terms: Monomials 
that have the same 
variable raised to the 
same power. Only 
the coefficients of like 
terms can be different. 
Memory Cue 
3x + 6x – 2 = 75
Infinitely many 
solutions: This occurs 
when expressions on 
both sides of the 
equation are the 
same. 
Define 
Memory Cue 
-18a + 3 = 3 – 18a
Define 
Algebraic Expression: A 
mathematical phrase involving 
at least one variable. 
Expressions can contain 
numbers and operation 
symbols. 
Memory Cue 
4x+10
Inverse Operation: Pairs of 
operations that undo each 
other, for example, addition 
and subtraction are inverse 
operations and multiplication 
and division are inverse 
operations. 
Define 
Memory Cue 
+6 
-6 
0 
3x 
3
Define 
Constant- a number on 
its own 
Memory Cue 
4x+10
No solution: an 
equation in which the 
variable will cancel out 
and the constants are 
not equal 
Define 
Memory Cue 
-7x + 7 = 19 – 7x
Unique solution: an 
equation in which the 
variable will not cancel 
out and the constants 
are not equal 
Define 
Memory Cue 
6x + 9 = 19 – 7x
Define 
Coefficient: A number 
used to multiply a 
variable. 
Memory Cue 
8x
Linear Equation in One 
Variable: An equation 
that can be written in 
the form 
ax + b = c where a, b, 
and c are real numbers 
and a ≠ 0 
Define 
Memory Cue 
6x + 9 = 19 – 7x
Define 
Addition Property of Equality: 
For real numbers a, b, and c, if a = b, 
then a + c = b + c. 
In other words, adding the same 
number to each side of an equation 
produces an 
equivalent equation. 
Memory Cue 
x + 19 = 19 + x
Additive Inverses: Two 
numbers whose sum is 0 
are additive inverses of 
one another. 
Define 
Memory Cue 
3/4 and – 3/4 are 
additive inverses of one 
another because 3/4 + 
(– 3/4) = 
(– 3/4) + 3/4 = 0.
Define 
Exponent: The number of 
times a base is used as a 
factor of repeated 
multiplication. 
Memory Cue 
x2
Define 
Memory Cue 
2 
휋 
8.9876098……………… 
Irrational: A real number 
whose decimal form is 
non-terminating and non-repeating 
that cannot be written as 
the ratio of two integers
Define 
Memory Cue 
16 
1/2 
8.98989898… 
8 
Rational: A number that 
can be written as the ratio 
of two integers with a 
nonzero 
denominator.
Define 
Memory Cue 
5.86 x 10 
Scientific Notation: A 
representation of real numbers 
as the product of a number 
between 1 and 10 and a power 
of 10, used primarily for very 
large or very small 
numbers.
Define 
Perfect Square: A number that 
has a rational number as its 
square root. 
Memory Cue 
16 100 
-9 36
Define 
Square Root: One of two 
equal factors of a 
nonnegative number. 
Memory Cue 
For example, 5 is a 
square root of 25 because 5 • 5 = 25. 
Another square root of 25 is -5 
because 
(-5) • (-5) = 25. 
The +5 is called the principle square 
root of 25 and is always 
assumed when the radical symbol (√) 
is used.
CLICK LINK FOR VOCABULARY 
ACTIVITIES 
http://www.cobblearning.net/8thgrademathconnections/vocabulary-activity/

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Vocabulary2

  • 2. Vocabulary Variables Solve One-step equation Distributive property Solution term Like terms infinitely many solutions Algebraic expression inverse operation two-step equations constants no solution unique solution coefficients Linear equations in one variable Addition property of Equality additive inverse Cube root Decimal expansion exponent Exponential notation irrational Multiplication Property of Equality multiplicative inverses perfect square radical rational scientific notation significant digits Square Root
  • 3. Learning Targets EQ: What vocabulary words will we learn during Unit 2? Today I will receive vocabulary words and definitions for Unit 2 because this will allow me to speak and understand the language of the standards. I can: Define one vocabulary word using my own terms.
  • 4. Variable: A letter or symbol used to represent a number. Define Memory Cue X + 3= 10
  • 5. Define Solve: Identify the value that when substituted for the variable makes the equation a true statement. Memory Cue X + 6 = 16 - 6 - 6 x = 10
  • 6. Define One Step equation: equations that can be solved in one step Memory Cue x + 3= 10 -3 = -3 x = 7
  • 7. Define Two Step equation: equations that can be solved in two steps Memory Cue 7x + 3= 10 - 3 = -3 7x = 7 7 7 x = 1
  • 8. Define Distributive Property: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products Memory Cue
  • 9. Term: Parts of an expression or equation separated by +, =, or – signs Define Memory Cue 3x + 6x – 2 = 75
  • 10. Define Solution - the set of all values which, when substituted for unknowns, make an equation true. Memory Cue x2 = 16 x= 4 or x=-4
  • 11. Define Like Terms: Monomials that have the same variable raised to the same power. Only the coefficients of like terms can be different. Memory Cue 3x + 6x – 2 = 75
  • 12. Infinitely many solutions: This occurs when expressions on both sides of the equation are the same. Define Memory Cue -18a + 3 = 3 – 18a
  • 13. Define Algebraic Expression: A mathematical phrase involving at least one variable. Expressions can contain numbers and operation symbols. Memory Cue 4x+10
  • 14. Inverse Operation: Pairs of operations that undo each other, for example, addition and subtraction are inverse operations and multiplication and division are inverse operations. Define Memory Cue +6 -6 0 3x 3
  • 15. Define Constant- a number on its own Memory Cue 4x+10
  • 16. No solution: an equation in which the variable will cancel out and the constants are not equal Define Memory Cue -7x + 7 = 19 – 7x
  • 17. Unique solution: an equation in which the variable will not cancel out and the constants are not equal Define Memory Cue 6x + 9 = 19 – 7x
  • 18. Define Coefficient: A number used to multiply a variable. Memory Cue 8x
  • 19. Linear Equation in One Variable: An equation that can be written in the form ax + b = c where a, b, and c are real numbers and a ≠ 0 Define Memory Cue 6x + 9 = 19 – 7x
  • 20. Define Addition Property of Equality: For real numbers a, b, and c, if a = b, then a + c = b + c. In other words, adding the same number to each side of an equation produces an equivalent equation. Memory Cue x + 19 = 19 + x
  • 21. Additive Inverses: Two numbers whose sum is 0 are additive inverses of one another. Define Memory Cue 3/4 and – 3/4 are additive inverses of one another because 3/4 + (– 3/4) = (– 3/4) + 3/4 = 0.
  • 22. Define Exponent: The number of times a base is used as a factor of repeated multiplication. Memory Cue x2
  • 23. Define Memory Cue 2 휋 8.9876098……………… Irrational: A real number whose decimal form is non-terminating and non-repeating that cannot be written as the ratio of two integers
  • 24. Define Memory Cue 16 1/2 8.98989898… 8 Rational: A number that can be written as the ratio of two integers with a nonzero denominator.
  • 25. Define Memory Cue 5.86 x 10 Scientific Notation: A representation of real numbers as the product of a number between 1 and 10 and a power of 10, used primarily for very large or very small numbers.
  • 26. Define Perfect Square: A number that has a rational number as its square root. Memory Cue 16 100 -9 36
  • 27. Define Square Root: One of two equal factors of a nonnegative number. Memory Cue For example, 5 is a square root of 25 because 5 • 5 = 25. Another square root of 25 is -5 because (-5) • (-5) = 25. The +5 is called the principle square root of 25 and is always assumed when the radical symbol (√) is used.
  • 28. CLICK LINK FOR VOCABULARY ACTIVITIES http://www.cobblearning.net/8thgrademathconnections/vocabulary-activity/