Algebra Chapter 4 review

Describe the domain and range.

• Domain: y is all real numbers; Range: x is all real numbers

• Domain: $x\le-1$ Range: $x>-1$

• Domain: x is all real numbers; Range: y is all real numbers

Graph this function on your graphing calculator. Select both answers as correct.

• Sketch the graph in your spiral.

• Do you see why the Domain and Range are all real numbers?

Tags

CCSS.HSF-IF.C.7B

Write an equation in slope-intercept form of the line with the given characteristics: slope= 2/5; y-int = -7

• $\frac{2}{5}x-y=7$

• $y=\frac{2}{5}x\ +7$

• $\frac{2}{5}x\ -7$

• $y=\frac{2}{5}x\ -7$

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Write an equation in slope-intercept form of the line with the given characteristics: passes thru (0,6) and (3, -3)

• $-3x+6$

• $3x+y=6$

• $y=-3x+6$

• $y=3x-6$

Write an equation in slope-intercept form of the line with the given characteristics: parallel to the line  $y=3x-1$  ; passes thru (-2, -8)

•  $y=3x-2$  

•  $3x-y=2$  

•  $\left(y+8\right)=3\left(x+2\right)$  

•  $y=-\frac{1}{3}x-2$  

Write an equation in slope-intercept form of the line with the given characteristics: perpendicular to the line  $y=\frac{1}{4}x-9$  ;passes thru (1,1)

•  $\left(y-1\right)=\frac{1}{4}\left(x-1\right)$  

•  $\left(y+1\right)=-4\left(x+1\right)$  

•  $y=-4x+5$  

•  $\left(y-1\right)=-4\left(x-1\right)$  

Write an equation in point-slope form of the line with the given characteristics: slope = 10; passes thru (6,2)

• $y=10x-58$

• $\left(y+2\right)=10\left(x+6\right)$

• $y-2=10\left(x-6\right)$

• $10x-y=58$

Write an equation in point-slope form of the line with the given characteristics: passes thru (-3,2) and (6, -1)  

•  $y-2=-\frac{1}{3}\left(x+3\right)\$  

•  $y=-\frac{1}{3}x+1$  

•  $\frac{1}{3}x+y=1$  

•  $y+1=-\frac{1}{3}\left(x-6\right)$  

The table shows the amount x (in dollars) spent on advertising for a neighborhood festival and the attendance y of the festival for several years. Use your graphing calc to make a scatterplot of the data. Describe the correlation.

• strong negative correlation

• negative correlation

• positive correlation

• strong positive correlation

Use your graphing calc to find the line of best fit. Choose the equation that best matches your line of fit.

• $y=5x\ +30$

• $y=-5x\ +300$

• $y=\frac{1}{5}x+300$

• $y=300$

Tags

CCSS.8.EE.C.8C