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Radical Expression
Slope
Transformations
Inequalities
Definitions
100
What is √200
=√100*2 =10√2
100
Turn 3x+4y=12 into Slope-intercept form
3x+4y=12 4y=-3x+12 y=-3/4+12
100
If triangle ABC is rotated 180°, what are its new coordinates: A(1,6) B(4,1) C(6,4)
A'(-6,-1) B'(-1,-4) C'(-4,-6)
100
2(12)+2w<40
24+2w<40 2w<16 w<8
100
Define Function
Every input only has one output
200
What is -√80?
=-√16*2 =-4√5
200
Turn the table into slope-intercept form X Y -10 -5 -2 19 5 40 11 58
y=3x+25
200
Translate triangle ABC 4 units up, and 3 units right. A(6,4) B(1,6) C(4,1)
A'(9,8) B'(4,10) C'(7,5)
200
Solve for p: 4p+2(p+7)<8
4p+2(p+7)<8 4p+2p+14<8 6p<-6 p<-1
200
Define exponents
a short way to represent a number
300
Simplify √45a^5
Simplify √45a^5 =√45=√a^5 =9*5=√a^4*2 =3√5=a^2√a = 3a^2√5a
300
-2
Find the slope of: X Y -4 9 2 -3 5 -9 9 -17
300
Reflect quadrilateral ABCD over the y-axis A(-7,-9) B(-9.-3) C(-2,-3) D(-4,-9)
A'(7,-9) B'(9,-3) C'(2,-3) D'(4,-9)
300
Solve for x in -3x-4≤14
-3x-4≤14 -3x≤18 x≥-6
300
Define Slope
Rise/Run
400
Simplify -3√120
=-3√120 =-3√12*10 =-3√4*3*10 =-3*2√3*10 =-6√30
400
Turn 64x-2y=8 into Slope-intercept form
64x-2y=8 -2y=-64x+8 y=64/2+8 y=32+8
400
Dilate triangle ABC by a scale factor of 3, then reflect it over the x-axis A(4,8) B(3,2) C(1,1)
A'(12,-24) B'(9,-6) C'(3,-3)
400
Solve for M:15≤5-2(4m+7)
15≤5-2(4m+7) 15≤5-8m+14 1≤5-8m -4≤-8m -4/-8≥m 1/2≥m
500
What is √3x*51x^3
What is √3x*51x^3 =√3x*51x^3 =√3*51*x*x^3 =√153x^4 =x^2√153 =x^2√9*17 =x^2(3)√17
500
Turn (-1,-6);m=4 into slope-intercept form
y – y1 = m(x – x1) y – (–6) = (4)(x – (–1)) y + 6 = 4(x + 1) y + 6 = 4x + 4 y = 4x + 4 – 6 y = 4x – 2
500
Dilate quadrilateral ABCD by 2, reflect if over the x-axis, then translate it up 3 units, and 1 unit to the left A(3,6) B(1,9) C(-2,4) D(6,-2)
A'(5,-15) B'(5,-21) C'(-5,-11) D'(11,7)
500
What is the sum of a number and fourteen is less than or equal to three times the number?
x+14≤3x 14≤2x 7≤x