One-step Linear equations
y = 14
2x + 5 = 15
x = 5
6c - 12 = 30
7
What is the variable in y = mx + b,
x
2x = 14
X=7
-10 = 5 - m
4r - 6 = 14
x = 5
-4x=80
What is the definition of a coefficient?
A constant number that multiplies a variable in an algebraic expression/equation, indicating how much the variable is scaled or multiplied – often attached to the letter (variable) in an expression/equation.
Identify the constant, coefficient, variable, and product. Also, identify the operations used.
4x - 9 = 15
Constant: -9
Coefficient: 4
Variable: x
Product: 15
Operations: addition, division
v/8 = 2
v = 16
k/4 - 7 = -5
k = 8
n ⁄ 4 + 7 = 10
What is the difference between an expression and an equation?
An expression is a combination of numbers, variables, and functions (such as addition, subtraction, multiplication, division, etc.) – it notably does not include an equal (=) sign.
An equation expresses the relationship between two expressions on both sides of an equal sign.
Rochelle's daughter is 11 years old. Her son is 3 years younger. How old is her son? Write an expression and solve.
x is Rochelle's daughter's age (11).
The expression would be x - 3
11 - 3 = 8
Her son is 8 years old.
-17x = -204
x = 12
-89 = 9t - 26
t = -7
5/4z = 3/4z = 1
z = 1/2
In the equation 3x + 5 = 11, this term represents the number that is not multiplied by a variable and does not change.
The constant (5)
-3(x - 2) = 12
x = -2
m/4 = -13
m = -52
-3(r - 7) = -24
r = 15
4.25 - 0.25x = 3.75
x = 2
Define operation and list the four key operations.
The procedure or function that takes one or more input values (operations) and produces a single output value.
Addition, subtraction, multiplication, division
Peter paid $9.75 to go to the movies, which was $46.25 less than he paid to go to a concert. How much did he pay for the concert?
x is the amount Peter paid for the concert.
x - 46.25 = 9.75
x = 56.00
Peter paid $60 dollars for the concert.