Define this:
A symbol, usually a letter, that represents a number whose value may be unknown or can change.
Variable
x + 17 = 42
25
Which is an expression: 5x+125x + 12 or 5x+12=325x + 12 = 32?
5x+125x + 12
The numerical factor multiplied by a variable in an algebraic term.
Coefficient
6x − 8 = 40
x=8
Identify the coefficients:
8x+5y−3z+12
8, 5, and -3
A mathematical statement showing that two expressions are equal.
EQUATION
9x + 14 = 5x + 46
x=8
A student says:
6(x−4) = 6x−4
What mistake did they make and what's the correct answer?
They did not distribute the 6 to both terms. It should be 6x-24.
In the equation below, ONLY identify the parts where Distributive Property must be used.
124x4+135x3−150(3x2−8x4)+225x5−175=320x3+140(2x4+9x2)−110x5+250
−150(3x2−8x4) and 140(2x⁴ + 9x²)
Solve this expression:
2x2+4x−5 when x=3
25
Translate into an equation:
Seven more than three times a number is 31.
3x+7=31
Create two like terms with different coefficients:
Example:
4x+9x
5(3x − 4) − 7 = 2(x + 6) + 26
x=5
Which equation does NOT have x=4x=4 as a solution?
A. 3x+5=173x+5=17
B. 5x−8=125x-8=12
C. 2(x+3)=142(x+3)=14
D. 4x+2=20
D