Midterm Study Guide

Using point (4,-6) ; m=3/5

Write in point-slope form.

• y-6=3/5(x-4)

• y+6=3/5(x-4)

• y-4=3/5(x+6)

• y-4=-6(x-3/5)

Find the slope and y-int for 10x+10y=-50

• m= 10 ; yint = 10

• m= 1 ; y-int = -5

• m= -1; y-int= -5

• m=-1 ; yint= 10

 $8x-11\ge1$  Solve:

•  $x\ge\frac{3}{2}$  

•  $x\ge12$  

•  $x\le12$  

•  $x\ge\frac{5}{4}$  

find x and y int for 2x+3y=-18

• x int = 2; y-int = 3

• x int = -2; y int = -3

• x int = $\frac{-1}{9}$ ; y int = $\frac{-1}{6}$

• x int = -9 ; y int -6

A length of a rectangle is 5 cm less than twice the width. The perimeter is 74 cm. What are the dimensions?

• w= 16; L= 11

• w= 12 ; L= 19

• w=14; L= 23

• w= 24 ; L = 13

A customer went to a garden shop and bought potting soil for $12.00 and 4 shrubs. The total bill was $46.00. Write as an equation.

• 12s+ 4 = 46

• 12-4s=46

• 12 + 4+ s= 46

• 12+4s=46

Solve: 6(y+5)=66

• $\frac{61}{6}$

• 6

• -6

• $\frac{71}{6}$

Suppose you have d dollars in your bank account. You spent $15 but have at least $41 left. How much money did you have initially? Write as an inequality and solve.

• $d-15\le41;\ \ \ d\le26$

• $d+15\le41\ ;\ d\le26$

• $d-15\ge41\ ;\ d\ge56$

• $d-15\le41;\ d\le56$

Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $0.55

• c(p)= 0.55p

• c(p)=55p

• c(p)=p+0.55

• c(p)=p-0.55

Find the slope: ( 5,6) (6,2)

• $-\frac{1}{4}$

• -4

• 4

• 6