Surprise
Solve for x: 3x + 1 < 16
x < 5
Solve for x: 10x - 4 = 36
x = 4
Write a linear, exponential, or quadratic equation to model the points below:
(x, y)
(0, 7)
(1, 5)
(2, 3)
(3, 1)
y = -2x + 7
The price of 3 sandwiches and 8 chips is $29. The price of 8 sandwiches and 3 chips is $25. Write the system of equations.
3x + 8y = 29
8x + 3y = 25
Below is a sample of a student's work. The student made an error when solving for x. Which line did the student make the error?
Line 1: -13=5(1+4x)-2
Line 2: -13=5+20x-2
Line 3: -13 = 23x
Line 4: -.57 = x
Line 3
Simplify: (2x - 3)(4x^2 - 7x + 5)
8x^3 - 26x^2 + 31x - 15
Solve for x: 3(4x + 1) = 27
x = 2
Write an equation to model the table below:
(x, y)
(0, 2)
(1, 14)
(2, 98)
(3, 686)
y = 2(7)^x
A phone company is making a new family plan that calculates a monthly bill by charging $20 per phone on the bill and a flat rate of $30 so that the family gets unlimited text messaging. The Johns family has a phone bill of $150. Which equation could be used to solve for the number of phones on the plan?
20x + 30 = 150
What is the special relationship between the lines below?
y = 6x - 7
y = (-1/6)x + 2
They are perpendicular
Factor the expression x^2 + 5x + 6
(x + 3)(x + 2)
Solve for x: 6x - (x - 3) = 8
x = 1
Write an equation to model the table below:
(x, y)
(0, 5)
(1, 7)
(2, 13)
(3, 23)
(4, 37)
y = 2x^2 + 5 OR y = 2x^2 + 0x + 5
A ball is thrown from an initial height of 5 ft with an initial upward velocity of 25 ft/s. Write an equation to represent the ball's height, h, in feet as a function of time, t, in seconds since the ball was thrown.
h(t) = -16t^2 + 25t + 5
What is the x-intercept and the y-intercept of the graph of 3x - 4y = 24 ?
(8, 0) and (0, -6)
Factor the expression x^2 - 6x - 72
(x + 6) (x - 12)
Solve for x: 4 + 2(x + 1) - 3x = 10
x = -4
Write an equation to model the table below:
(x, y)
(0, 5)
(1, 10)
(2, 20)
(3, 40)
y = 5(2)^x
In a science lab, you start with 5 bacteria in a petri dish. You notice that every 30 minutes the number of bacteria triples. Would the situation be best represented by a linear, exponential or quadratic model?
Exponential
What is the special relationship between the lines below?
y = 6x - 4
y = 6x + 15
They are parallel
Solve for x: 15x + 40 > 100
x > 4
Solve for x: 12x -2(4x + 9) = 2
x = 5
Write an equation to model the table below:
(x, y)
(0, 12)
(1, 36)
(2, 108)
(3, 324)
y = 12(3)^x
A pancake starts to burn and is tossed out a 2nd story window. The window is 24 feet off the ground and the pancake is launched at an initial velocity of .1 feet per second. Write a function to model this situation.
h(t) = -16t^2+ .1t + 24
When solving the equation 7 + 2x = 21, what is the first step a student should take?
Subtract 7 from both sides of the equation.