Algebra 2 Quiz Lessons 11-20 Practice

Classify the system and determine the number of solutions: 8x - 7y = 10 and 21y - 24x = -30

• Consistent and Independent; Infinitely many solutions

• Inconsistent and Independent; No solutions

• Consistent and Dependent; Infinitely many solutions

• Inconsistent and Dependent; No solutions

Subtract 

 $\left(8x^3\ -\ 7x^2-\ 3x\ -\ 2\right)\ -\ \left(x^2\ -\ 8\right)$  

•  $8x^3+6x^2-3x+6$  

•  $8x^3-6x^2-3x+6$  

•  $8x^3-8x^2-3x-10$  

•  $8x^3-8x^2-3x+6$  

Solve the inequality

 $\left|x-9\right|-9<3.\$  

Graph the solutions.

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Given f(x) = 3x - 3 and g(x) = -10x + 12, find (fg)(x).

• $\left(fg\right)\left(x\right)=-30x^2+66x-36$

• $\left(fg\right)\left(x\right)=-30x^2+30x-36$

• $\left(fg\right)\left(x\right)=-30x^2+30x+12$

• $\left(fg\right)\left(x\right)=-30x^3+66x-36$

Write and graph the inverse variation in which y = 12 and x = 2.

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Solve:

 $\left|x+2\right|=7$  

• x = - 9

• x = 5 or x = - 9

• x = - 5 or x = 9

• x = 5

Solve:

 $\left|3x\ -\ 5\right|\ +\ 8\ =\ 5$  

• x = 6

• x = 2/3

• No solution

• x = 10/3

Write the equation -2x + 5y = -15 in slope-intercept form. Then graph the line described by the equation.

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When Amy roller-skates, she moves 130 yards per minute. What is her speed in miles per hour? Round your answer to the nearest hundredth.

• 0.49 mph

• 3813.33 mph

• 1.48 mph

• 4.43 mph

Find the slope of the line that contains (10,3) and (0,-4).

• 10/7

• -1/10

• 7/10

• -10