Vocabulary
A number by itself
Constant
Simplify:
7x + 3x = ?
10x
True or False:
A variable is a letter that represents an unknown number
True
What is the error and solve:
5x+3x= 53x
Combined numbers by putting them together instead of adding the coefficients
Solve: 8x
What does “E” stand for in “PENDAS
Exponent
Terms with the same variable part and exponent.
Like Terms
Expand:
6(y-2)
6y - 12
True or False:
4(x + 2) = 4x + 2
False
What is the error and solve:
5h +3f+5j+h = 13h2fj
Combined unlike terms
Solve: 6h + 3f + 5j
“Zero” can be a positive and negative
False
Multiplying the outside factor by every term inside Parentheses
Distributive Property
Simplify:
-3(2a+4)+5-3a = ?
-9a-7
True or False:
−2(4a + 3) = −8a + 6
False
What is the error and solve:
3(x−2)+x= 4x−2
The 3 wasn't distributed to the −2
Solve: 4x - 6
A team loses 17 yards, then gains 20 yards. What is the total change?
3 Yards
Expressions that always have the same value
Equivalent Expressions
Expand:
6(x-5)-2(2x+3)
2x-36
True or False:
An expression has an equal sign.
False
What is the error and solve:
5(2x+1)−x= 9x+5
The answer is correct!
When subtracting negative numbers, you change the subtraction sign to an addition sign, and flip the sign of the number that follows it (e.g., -x-(-x) becomes x+x, and x+-x becomes x(-x)). Then, follow the Add rules.
True
A math phrase with numbers, variables, and operations but no equals sign.
Expression
Simplify:
8x +2-3x+7-x=?
4x + 9
True or False:
The coefficient of −8x is −8
True
Find the mistake and give the correct answer:
5(3x−2)+4x−7=19x+5
The student incorrectly combined the constants
Solve: 15x−10+4x−7=19x−17
Put the following integers in order from least to greatest and explain why 0 is between the positive and negative numbers
8,−12,0,15,−3,6,−8,11,−1
−12,−8,−3,−1,0,6,8,11,15
0 represents a state of neutrality; the origin point