Translating expressions
The sum of a number and 7
x + 7
Simplify and writing in standard form: 3x + 4x
7x
Factor: 4x + 8
4(x + 2)
Simplify: 24
16
What is a coefficient?
the number in front of a variable and is multiplied by a variable
One-third of a number decreased by 4
(1/3)x - 4
Simplify and writing in standard form: 5x - 2x + ½
3x + ½
Factor: 8x - 12
4(2x - 3)
Simplify: 3a² × 2a³
6a⁵
What is a constant?
a number without a variable
The quotient of eight and three times a number
8/(3n)
Simplify and writing in standard form: 4(x + 2)
4x + 8
Factor: 9y - 6
3(3y - 2)
Simplify: x⁵ ÷ x²
x³
What is an expression?
a math phrase that contains numbers, variables, and operations, but no equal sign
Two-fifths of a number increased by the square root of 49
(2/5)x + sqrt(49)
Simplify and writing in standard form:
2a + 3b - a + 4b
a + 7b
Factor: 12x² + 18x
6x(2x + 3)
Simplify: (x²)³
x⁶
What does it mean to "factor" an expression?
rewriting an expression as a product of its factors
The difference between the square of a number and 10
x² - 10
Simplify and writing in standard form:
2(x + y) - 3(x - y)
-x + 5y
Factor: 8ab - 12a
4a(2b - 3)
Simplify: (2x³y²)²
4x⁶y⁴
What is a term?
a single part of an expression, separated by + or − signs