Unit 3 Review: Linear Functions, Equations, and their Algebra

The distance that a person drives at a constant speed varies directly with the amount of time they have been driving. If, at a particular speed, a person drives 107 miles in two hours, then approximately how far will they drive, at the same speed, in 1.25 hours?

• 75 miles

• 91 miles

• 44 miles

• 67 miles

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Given the function $f\left(x\right)=x^2-2x+7$ , what is its average rate of change over the interval  $3\le x\le11$  ?

• 8

• 12

• -5

• -7

Tags

CCSS.HSF.IF.B.6

Which of the following an equation for the line that is parallel to the line y=2x-9 and passes through the point (-1, 5)?

• y= -14x-9

• y=2x+5

• y=2x+7

• y= -14x+4

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.GPE.B.5

Given the line pictured, which of the following could be its equation? Click the picture to enlarge.

• 
  

  $y=-\frac{3}{4}x+8$
  

• $y=2x-7$

• $y=-\frac{1}{2}x-4$

• $y=\frac{3}{2}x+1$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

At what x-coordinate would y=2x-3 intersect a perpendicular line whose y-intercept is 17?

• x=12

• x=-5

• x=-11

• x=8

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

The speed of a car, in miles per hour, is a linear function of time, in minutes. Which of the following would be the units of the slope of this linear function?

• miles

• hours

• miles/minute

• (miles/hour)/minute

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

If the point (2, 10) lies on a function $f(x)$ , then what point would lie on  $f^{-1}\left(x\right)$  ?

• (10, 2)

• (-2, -10)

• (-10, 2)

• (2, -10)
  

Tags

CCSS.HSF.BF.B.4

Which of the following is the equation of the inverse of the linear function y=4x-2?

• 
  

  $y=\frac{1}{4}x+\frac{1}{2}$
  

• $y=\frac{1}{4}x+2$

• $y=-4x+2$

• $y=-\frac{1}{4}x+8$

Tags

CCSS.HSF.BF.B.4

Find the inverse of  $y=\frac{\sqrt{2x+5}}{4}$ 

•  $y=8x^2-\frac{5}{2}$  

•  $y=\frac{16x^2-5}{4}$  

•  $y=\frac{4}{\sqrt{2x+5}}$  

•  $y=\frac{4x-5}{2}$  

Tags

CCSS.HSF.BF.B.4

Which of the following is the equation of the piecewise linear function shown? (Note: Quizizz does not yet have the ability to write a piecewise equation, so bear with me here...)

•  $f\left(x\right)=\left\{\frac{x+4,\ \ \ \ \ x<2}{3x+5,\ \ \ \ x\ge2}\right\}$  

•  $f\left(x\right)=\left\{\frac{\frac{1}{2}x+4,\ \ \ \ \ x<2}{3x-1,\ \ \ \ \ x\ge2}\right\}$  

•   $f\left(x\right)=\left\{\frac{-\frac{1}{4}x+5,\ \ \ \ \ x<2}{3x-3,\ \ \ \ \ \ x\ge2}\right\}$  

•   $f\left(x\right)=\left\{\frac{-2x+4,\ \ \ \ x<2}{4x+1,\ \ \ \ \ x\ge2}\right\}$