Practice1
To which smallest set does -3/2 belong to?
To which smallest set does -3/2 belong to?
rational number
Which property is shown?
CA = AC
Which property is shown?
CA = AC
Commutative Property of Multiplication
Calculate (5*106)(9*103) and write the answer in scientific notation.
Calculate (5*106)(9*103) and write the answer in scientific notation.
(5)(9)*106+3 = 45 * 109
= 4.5 * 1010
Write 0.363636.... as a simplified fraction. Show your work.
Write 0.363636.... as a simplified fraction. Show your work.
100x = 36.3636... - x = 36
99x = 36
x = 36/99 --> 4/11
Classify -3(x + 3) = -3x - 9
Classify -3(x + 3) = -3x - 9
Identity
Calculate (7.2 * 10-4) / (2.4 * 10-7)
Calculate (7.2 * 10-4) / (2.4 * 10-7)
= 3 * 103
The midpoint of AB is (2, -3). If A is (-3, 4) what is B?
The midpoint of AB is (2, -3). If A is (-3, 4) what is B?
((-3 + x)/2, (4+y)/2)
(-3+x)/2 = 2 --> x = 7
(4+y)/2 = -3 --> y = -10
B = (7, -10)
Graph a circle on your board with center (-3, -1), radius = 4, and label 4 points on it.
...
Simplify (18x5y7) / (3x-2y3)
Simplify (18x5y7) / (3x-2y3)
6x7y4
What is the exact distance between (1, 4) and (6, -3)?
What is the exact distance between (1, 4) and (6, -3)?
sqrt[(6-1)2 + (-3-4)2]
=sqrt[25 + 49]
=sqrt[74]
A circle has a center at (-3, 4) and passes through (1, 1). What is its equation in standard form?
A circle has a center at (-3, 4) and passes through (1, 1). What is its equation in standard form?
(x + 3)2 + (y - 4)2 = 25
Write the circle equation in standard form and identify its center and radius:
x2 + 8x + y2 - 4y - 6 = 0
Write the circle equation in standard form and identify its center and radius:
x2 + 8x + y2 - 4y - 6 = 0
(x + 4)2 + (y - 2)2 = 26
center: (-4, 2) radius: sqrt(26)
What property is illustrated by 3(2n + 5) = 6n + 15?
What property is illustrated by 3(2n + 5) = 6n + 15?
Classify 2x - 7 = 4x + 3
Classify 2x - 7 = 4x + 3
Conditional equation
Write (-infinity, 3)U(6, 10) using set-builder notation.
Write (-infinity, 3)U(6, 10) using set-builder notation.
{x | x < 3 or 6 < x < 10}
A sports club charges a one-time registration fee of $6 plus $11.50 per class. Students who use it are not allowed to spend more than $78 total. Write and solve an inequality to determine the greatest whole number of classes the student can take.
A sports club charges a one-time registration fee of $6 plus $11.50 per class. Students who use it are not allowed to spend more than $78 total. Write and solve an inequality to determine the greatest whole number of classes the student can take.
6 + 11.50c <= 78.
11.50c <= 72.
c <= 144/23
c = 6.26... -> 6
Which property or properties are shown by (4a + x) + 7 = (x + 7) + 4a?
Which property or properties is shown by (4a + x) + 7 = (x + 7) + 4a?
Associative property of addition to change terms in the brackets, and commutative property of addition to change the order.