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Linear Functions
Systems of Equations
100

Expand and simplify: 

2ab(3ab)

6a2b2

100

Write 303/4 as a radical

(∜30)3

100

Factor the trinomial: 

-5xyz + 10x2y4z - 25xy7z2

5xyz(-1 + 2xy3 - 5y6z)

100

What is the volume of the box?

1536 in3

100

Determine the slope of the line that passes through D(2, -1) and E(-4, 4). 

-5/6

100

Is (-6, 4) a solution to the following linear equations:

5x + 4y = -14

3x + 6y = 6

Yes

200

Expand and simplify: 

(p + 2)(p - 6)

p2 - 4p - 12

200

Write √192 in simplest form

8√3

200

x- 5x + 6

(x-3)(x-2)

200

The radius of the volleyball is 4 cm. What is the surface area of the volleyball? 

201.1 cm2

200

Does the following graph represent the equation 

y = -1/2 + 2


No



200

How many solutions does the following systems of equations have: 

y = -3x + 4

2 - 3x = y 

None

300

-(4x-2) + (3x+2)

-x + 4

300

Write 4∛3 as an entire radical.

√192

300

x2 - 16

(x+4)(x-4)

300

What is the surface area of the box?


832 in2

300

Write this equation in slope intercept form 

y - 2 = -3/4(x +6)


y = -3/4x -5/2

300

Solve for x and y using the elimination method:

-7x - 8y = 9

-4x + 9y = -22

(1, -2) 

400

Expand and simplify:

(3x - y)(6x + 2y) - (3x - 2y)2


9x- 6y2 + 12xy

400

Evaluate the following:

(0.064)^(-1/3)

5/2

400

Factor:

14x2 - 28x - 210

14(x + 3)(x - 5)

400

Calculate the volume of the square based pyramid. 


63.3 cm3

400

Determine the slope of a line that is perpendicular to the line with this equation: 

3x - 8y + 7 = 0


-8/3

400

Solve for x and y using the substitution: 

-x - 7y = 14

-4x - 14y = 28

(0, -2)

500

(x-2)3

x3-6x2+12x-8

500

Evaluate the following:

((3x^4y^-2)/(2xz^-4))^-2

(4y^4)/(9z^8x^6)

500

Factor:

486 - 6w4

6(9 + w2)(3 - w)(3 + w)

500

The curved surface area of a cylindrical pipe is 50 cm2 and the length of the pipe is 10 cm. Calculate the diameter of the pipe. 


1.6 cm

500

Write an equation in general form for the line that passes through A(3, -1) and is parallel to the line 

y = -3/7x +3

3x + 7y - 2 = 0

500

Solve for x and y by graphing:

2x + 8y = 6

-5x - 20y = -15

Infinite number of solutions 

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