George travels at 45 mi/h. Write an expression for the number of miles George travels in h hours.
45h
Solve the equation
2x + 5 = 11
x=3
Graph x > 2
Is the point (4, 6) on each line?
3x – 2y = 16
No
Two less than a number is -5. Write the equation and solve.
What is x - 2 = -5, x = -3?
Solve the Inequality
x - 3 > 7
x>10
Graph y ≤ -1
Find a point that is on the graph of the line
3x + 5y = 10
(0,2)
(5,-1)
(10/3, 0)
.
A number multiplied by a negative three is 12. Write and solve the equation.
What is -3n = 12; n = -4?
Solve the Equation
3(x - 2) = 12
x=6
Graph |x| < 4
Find a point on the line
3x – y = 15.
(0,-15)
(1,-12)
(2,-9)
(5,0)
(6,3)
.
(x + 1)/2 ≤ 4
x ≤ 7
Graph -3 ≤ z < 2
Jones says finding a point on a line is the same thing as finding a set of values that satisfies an equation. Do you agree with his reasoning? Show or explain your justification.
yes, he is correct. Points on a line are the visual representations of all of the points that satisfy a linear equation in two variables.
An expression that contains variables, constants, and/or operations
What is an algebraic expression?
2x - 5 < 3x + 1, and solve for x:
x > -6
Graph 2x - 4 > 6
Solve for x first: x > 5.
Then, plot 5 with an open circle and shade to the right.
A florist charges $19.95 per flower bundle plus a $15 delivery fee. The total cost can be modeled using the equation
y = 19.95 x + 15.
a) Explain what x and y mean in context.
b) Find 2 ordered pairs on the line
a) y is the total amount the flowers + delivery costs and x is the number of bundles of flowers
b)(0,15)
(1, 34.95)
(2, 54.90)
(3, 74.85)