Algebraic Reasoning Test

What is the slope of this relationship?

• Slope = 8

• Slope = 8/2 = 4

• Slope = 2

• Slope = 2/8 = 1/4

Tags

CCSS.8.EE.B.5

What is the equation of the relationship?

• y = 8x + 3

• y = 4x

• y = 4x + 3

• y = 8x

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Write an equation for the quadratic table.

• f(x) = 2x² + 3x +1

• f(x) = 3x² - 3x + 1

• f(x) = 4x² + 2

• f(x) = (x² + x)/2

What is the third difference of the cubic table?

• 12

• 8

• 6

• -12

Write an equation for the cubic function.

• f(x) = 2x³

• f(x) = 3x³ - x + 9

• f(x) = -1/2x³ + 3x² - 1

• f(x) = 4x² - 2

Tags

CCSS.HSF.LE.A.2

Which of the following is NOT a function we have learned in this class so far?

• y = mx + b

• f(x) = √x

• f(x) = ax³ + bx² + cx + d

• f(x) = ab^x

Identify the range of the functions above.

• f(x): all real numbers except -3, g(x): all real numbers, h(x): y < -3

• all real numbers for all three functions

• f(x): all real numbers except 2, g(x): all real numbers, h(x): all real numbers except -3

• f(x): all real numbers except -2, g(x): all real numbers, h(x): y > -3

Given the graph shown above, which set of points would be in the inverse?

• {(1, -10), (2, -3), (3, -2), (4, -1), (5, 6)}

• {(-10, 1), (-3, 2), (-2, 3), (-1, 4), (6, 5)}

• {(1, -10), (-3, 2), (3, -2), (4, -1), (6, 5)}

• None of the above

Tags

CCSS.HSF-BF.B.4C

Generate the inverse of the following equation:

f(x) = (x + 5)² - 3

• 
• 
• 
• 

Tags

CCSS.HSF-BF.B.4A

Generate the inverse of the following equation:

f(x) = ⅓(x - 6) + 7

• y = 3x - 15

• x = ⅓(y - 6) + 7

• y = ⅓(x - 6) + 7

• x = 3y-15

Tags

CCSS.HSF-BF.B.4A