Equivalent Expressions
TRUE or FALSE: These expressions are equivalent.
x2 + 49
(x + 7)(x + 7)
FALSE
Determine the x-intercepts of the function:
f(x) = (x + 9)(x - 1)
(Write answers as ordered pairs.)
(-9, 0) and (1, 0)
Factor: x2 + 5x + 6
(x + 3)(x + 2)
What is the VERY IMPORTANT first step to find a solution for this equation:
x2 - 4x = 32
Subtract 32 from both sides so the equation is set equal to 0.
(The equation MUST be equal to 0 before you can factor!)
What is the GCF of 34 and 102?
17
TRUE or FALSE: These expressions are equivalent.
x2 - 16
(x - 4)(x + 4)
TRUE
Determine the x-intercepts of the function:
f(x) = (2x + 1)(4x - 3)
(Write answers as ordered pairs.)
(-0.5, 0) and (0.75, 0)
Factor: x2 - x - 12
(x - 4)(x + 3)
What are the solutions to this function:
f(x) = -3(x + 2)(x - 7)
x = -2 and x = 7
What is (the number of keys on a piano) divided by (the number of legs on an octopus)?
11
TRUE or FALSE: These expressions are equivalent.
x2 - 6x + 9
(x - 3)(x + 3)
FALSE
Determine the x-intercepts of the function:
f(x) = x2 - 6x - 16
(Write answers as ordered pairs.)
(8, 0) and (-2, 0)
Factor: x2 - 36
(x - 6)(x + 6)
What are the solutions to this function:
f(x) = 0.2(2x - 1)(x - 5)
x = 0.5 and x = 5
TRUE or FALSE: The point (-3, 2) is on the parable:
f(x) = x2 + 3x + 2
TRUE
(-3)2 + 3(-3) + 2 = 2
Select all the expressions that are equivalent to
(3x + 6)(x - 4)
A. 3x2 - 12x + 6x - 24
B. 3(x + 2)(x - 4)
C. 3(x2 - 4x - 8)
D. 3x2 - 18x - 24
A and B
Write a quadratic equation with these x-intercepts:
(5, 0) and (3, 0)
f(x) = (x - 5)(x - 3)
(Answers may vary.)
Factor: x2 + 3x - 54
(x + 9)(x - 6)
What are the solutions to this function:
f(x) = x2 - 16x + 48
x = 4 and x = 12
What is (the square root of 81) plus (the number of legs on an insect) times (the age when Bill Gates began programming computers)?
HINT: Remember Order of Operations!
87
(9 + 6 x 13)
Which is NOT equivalent to 2x2 - 8x + 24?
A. (2x + 4)(x - 6)
B. (2x - 12)(x + 2)
C. 2(x - 2)(x + 6)
C
Write a quadratic equation with these x-intercepts:
(2.5, 0) and (-0.6, 0)
f(x) = (2x - 5)(5x + 3)
(Answers may vary.)
Factor: 2x2 + x - 21
(2x + 7)(x - 3)
What are the solutions to this function:
f(x) = 5x2 + 9x - 2
x = 0.2 and x = -2
What is (the number you get when you add opposite sides of a die) times (the number of points on the Statue of Liberty's crown) times (the number of holes on a Chinese Checkers board)?
5929
(7 x 7 x 121)