Intro to Algebra
The leading coefficient of the polynomial
7x - 8x4+3 + 2x3
What is -8
The property illustrated in the equation
2+(3+4) = 2 + (4+ 3)
Associative, Commutative, or Distributive
What is the Commutative property
The list of values that are at least 7 and less than 14
What are 7, 8, 9, 10, 11, 12, 13
Given a function defined by a set of ordered pairs
(-1, 7) (0, 2) (1, 8) (2, -5) (5, 3)
the input when the output equals 2
What is 0
The slope and y-intercept of the Linear Function
-3x + 2y = 8
What is m = 3/2 and b = 4
The product of
(x - 10)(x + 2) is equivalent to
What is x2 - 8x - 20
The sum of 2√9 and √6 is rational or irrational? Explain why.
What is irrational because the sum is a non-terminating or non-repeating decimal.
The inequality 8>x in Interval Notation
What is (-∞,8]
The value of x given the function h(x) = -2x + 8 when h(x) = -10
What is x = 9
The slope between the points
(-8, -4) and ( 0, -20)
m = y2 - y1
x2 - x1
What is m = -2
The expression (2x5)3 is equivalent to
What is 8x15
When m = a2d + 3 is solved for the variable a
What is √m-3
d
When solved for x, 12<-2x + 8, the largest number that makes the inequality true
What is -3
The average rate of change for the function
f(x) = x2 over the interval 2 < x < 6
(Hint: you can use the Table of Values in calculator)
What is m = 8
The equation of a line in y=mx + b form given a
slope of -4 and point (2, -3)
What is y = -4x + 5
The equivalent trinomial to the expression
(x - 3)2 - (4x2 + 5)
What is -3x2 - 6x + 4
5 less than a number is equivalent to three times that number decreased by nine. Find the number.
What is x = 2
The inequality that can be written to represent
"the sum of two consecutive odd integers
is at least 16"
What is x + x + 2 > 16
The domain on which the function
f(x) = -x2 + 2x + 3 is decreasing written using Interval Notation
(Hint: Use calculator)
What is [1,∞)
The height of a drone rises at a steady rate of feet per second. A linear function is written to describe the height, h, of the drone after t seconds h(t) = 3t + 5
Describe the values 5 and 3, in words, according to the context of the situation
What is 5 represents the height in feet at which the drone was released and it is rising 3 feet per second
The expression
(x - 4)(x2 + 2x + 5) in simplest form is
What is x3-2x2-3x-20
The expression
(x-5)(2x+7)-(x+5) is equivalent to
What is x2-3x-40
The solution to the inequality
5(2x + 1) - 6(x +1) > 11x - 29
What is x < 4
The range of the function
f(x) = -x2 + 2x + 3 written using Interval Notation
(Hint: Use calculator)
What is (-∞, 4]
A hot oven is turned off when it reaches a temperature of 350*F. If the temperature decreases at a constant rate of 8*F per minute, write an equation to represent the temperature, F, as a linear function of time, t
What is F(t) = 350 - 8t or F(t) = -8t + 350