Linear Things
John needs to buy at least 100 tiles to redecorate his bathroom. The tiles are sold in packs of 6. Represent the inequality that shows the minimum number of packs John needs.
What is 6n≥ 100?
25x2 - 40x +16 in factored form.
(5x+4)2
If the expression 250(1.12)t represents the value of an antique where t is the number of years since 2014, the meaning of the number 250.
What is the predicted value of the antique in 2014?
The lengths of a rectangle is 16 units more than its width. The area of the rectangle can be expressed as x4-64. Write the expression that represents the width of the rectangle.
What is x2-8?
The transformations from y= x2 that create
y = -3(x-5)2 +8
What are:
Reflection over the x axix,
Stretch factor of 3.
Translation 5 units right and 8 units up.?
John works two jobs. He earns $10 and hour babysitting and $15 an hour mowing lawns. Last week he worked a total of 20 hours and earned a total of $240. If x is the number of hours he works babysitting and y is the number of hours he spends mowing lawns, the equation that represents John's earnings is:
10x + 15y = 240
The factored form of x2 + 2xy + y2 and the sum of those factors.
What is (x + y)2 and 2x + 2y?
The organizers of a charity concert hope to raise at least $15,000 from ticket sales. They make $25 from each adult ticket sold and $15 from each youth ticket. List 2 combinations of adult and youth tickets that could be sold.
What is any (x,y) that makes 25a + 15y = 15000 true?
What is the line of symmetry of a parabola with equation:
x2+ 25x- 150.
What is:
x = 12.5?
The simplified form of
(4x3+ 5x2+2) + (3x2-7x+4)
What is 4x3+ 8x2-7x+6 ?
The value of p when this equation has no solution.
What is 6?
The solutions to the equation (x-9)2=64.
What is
x = 1 and 17?
Brenda purchased a new watch in 2012. The value of her watch, t years after she bought it can be modeled by the function A(t) = 117(0.93)t.
The rate of change in this scenario.
What is 7% decrease?
The length of the hypotenuse of a right triangle with legs
(x+4) and (x -16)
(In terms of x)
What is
√(2x2-24x + 272)
Draw a number line to represent the solution to this inequality: -3>2y
What is everything less than -1.5? (open circle on -1.5)
Jenny is solving the equation 6n + 3-5(4-n) = 27.
Show the steps she could take to find this solution.
What is: 6n + 3-5(4-n) = 27
6n + 3-20 + 5n = 27
11n -17 = 27
11n = 44
n =11 (or another way to get here)
The greatest solution ox x in the equation
x2 + 5x -14 = 10?
What is 3?
x2 + 5x -24 = 0
(x+8) (x -3) = 0 x = -8 or 3
What is 20000(0.94)t
The value of x if a triangle has a perimeter of 52 and lenghts (x -4) , (4x -16) and (x +12)
What is 10?
The slope of a line that passes through (-14, 27) and (1, -3)
What is -3?
-On intersection point,
-No intersection points and
-Infinite intersection points with the line:
3x + 8y = 48
What are:
-Any equation with slope that is not -3/8
-Any equation with slope -3/8 but not a y-interecpt of 3.
-Any equations equivalent to 3x+8y =48
A description of a quadratic function h(x) that contains the points (-6, 64) (2,5) and (6,5)
What is:
-a parabola with axis of symmetry at x = 4
-Opens up so vertex is at a minimum.
The number of hours that a candle has been burning when it is still more than 4 inches if it starts off at 5 inches and loses 8% of its height every hour.
What is 3?
The diameter of a circle with an area of 600.
What is 2*√(600/π) or approximately:27.6?
The maximum number of cherry pies that Simone can buy if cherry pies cost $7 and apple pies cost $5 and she wants to buy at least 18 pies and spend no more than $110. (Bonus for the system of inequalities)
What is 10?