Equivalence
Special Notation
Substitution with Variables
Substitution with Numbers
Naming Symbols (Trivia)
100
Fill in the blank with a number or expression that makes the equation true.
8\cdot 2=5+ ____
Any expression equivalent to 11
100
What does the symbol \ne mean in the relationship 6\ne 4 ?
It means not equivalent to, or not equal to
100
Substitute x=90 into the equation below. You do not need to simplify or solve the equation.
y+5=x-1
y+5=90–1
100
Substitute 5=8-3 into the equation below. You do not need to simplify or solve the equation.
11-6=8-3
11-6=5
100
What symbol is called an asterisk?
A star
*
200
Write the equation that means:
"6 plus 2 has the same value as 2 times 4"
6+2=2(4)
200
What is the value of 2\cdot 3\cdot 4\cdot 5 ?
120, because the center dot means multiplication.
2\cdot 3 =6
6\cdot 4 = 24
24\cdot 5=120
200
Substitute x+3=1 into the equation below. You do not need to simplify or solve the equation.
7(x+3)=12-5
7(1)=12-5
200
Substitute 66=6(11) into the equation below. You do not need to simplify or solve the equation.
66-47=19
6(11)-47=19
200
What symbol is called an ampersand?
The & symbol
300
Write a sentence that describes the relationship below.
7+1=20-12
Examples:
7 + 1 has the same value as 20 – 12
7 + 1 is equivalent to 20 – 12
The value of 7 + 1 is the same as the value of 20 – 12
300
Which statement is correct? WHY?
A. 11(2)=30-10
B. 11(2)\ne 30-10
Equation B, because 11(2) is not equivalent to 30 – 10
300
Substitute x=4+5 into the equation below. You do not need to simplify or solve the equation.
100-28=8x
100-28=8(4+5)
This is NOT correct if we forget the parentheses!
300
Substitute 25+71=90+6 into the equation below. You do not need to simplify or solve the equation.
2(90+6)=192
2(25+71)=192
300
What symbol is called a pilcrow?
The "new paragraph" symbol:
400
Write a sentence that describes the relationship shown below.
19 \ne 2(10)
Examples:
19 does not have the same value as 2(10)
The values of 19 and 2(10) are not equivalent
19 and 2(10) do not have the same value
400
Is the equality below correct? Explain why.
4(5)=30-10=2(11)-2
Yes, because all three expressions between the equals signs are equivalent to one another
400
Substitute x=3 into the equation below. You do not need to simplify or solve the equation.
y-x^2 =8x-7(x-2)
y-3^2 =8(3)-7(3-2)
400
Substitute 2(6)+5=17 into the equation below. You do not need to simplify or solve the equation.
5(2(6)+5))=8^2+1
5(17)=8^2+1
400
What symbol is called an octothorpe?
The hashtag (or pound) symbol
#
500
Write an equation that captures the information below.
"If you multiply 5 and 3 and then add 4, the value is equivalent to 20 minus 1."
5\cdot3+4=20-1
500
Explain why 2\cdot (3+1) and 2 \cdot 3+1 have different values.
In
2\cdot(3+1)
the 2 is multiplying the sum of 3 + 1
In
2\cdot 3+1
the 2 is only multiplying the 3
500
Substitute x=-9 into the equation below. You do not need to simplify or solve the equation.
y=x^2-x
y=(-9)^2-(-9)
500
Substitute 8-10=-2 into the equation below. You do not need to simplify or solve the equation.
(8-10)^2=2-(8-10)
(-2)^2=2-(-2)
500
What symbol is called a lemniscate?
The infinity symbol
