Topic 1-2 Review

1.2: Solving equations with a variable 2.1: Slope-intercept form

100

Solve for x: 

4x-2(x+3)=8

x=7 

200

Solve for x:

x-2(x+10)=12

x=-32

300

Solve for x:

(1/2)x+2=1

x=-2

400

Write the equation of a line that passes thru (0,1) and (2,2). 

y=1/2x +1

500

Write an equation of a line that passes thru (-2,-6) and (1,2). 

y= 8/3x-2/3

1.3: Solving equations with a variable on both sides 2.2: Point-slope form

100

Solve for n:

5(n-7)=2(n+14)

n=21

200

Solve for w:

6w-33=3(4w-5)

w=-3

300

Determine how many solutions :

6x-12=3x-12

x=0 

one solution 

400

Write the equation in point-slope form : (-1,4) m=2/3

y-4=2/3(x+1)

500

Write an equation in point-slope that passes thru the points (2,4) and (3,6). 

y-4=2(x-2) or y-6=2(x-3)

1.4: Rewriting equations 2.3: Standard form

100

Rewrite equation to solve for n:

a=m-n 

n=m-a

200

Rewrite equation to solve for b:

a=bh

b=a/h

300

Rewrite equation to solve for m:

m+3n=7

m=7-3n 

400

Find the x and y intercepts of the equation.

3x-4y=24

x=8   (8,0)

y=-6  (0,-6)

500

Write the equation in standard form 

y= -1/2x-10

x+2y=-20

1.5: Solving equations with an inequality 2.4: Parallel and Perpendicular lines

100

Solve the inequality:

-2(3x-1)<8

x<-1

200

Solve the inequality:

4(1-x)<16

x>-3

300

Solve the inequality:

-2(6+s)<-16+2s

s>1

400

Write the equation of the line that is parallel to the given line. 

(6,4) 2x+3y=18

y=-2/3x+8

500

Write an equation of line that is perpendicular to the given line. 

(4,3) 4x-5y=30

y=-5/4x+8

1.6: Compound inequalities

100

Solve the compound inequality:

2x-3<7 and 5-x<_8

x<5 and x>_3

200

Solve the compound inequality:

3(x+3)-2<4 or 1-x<_-1

x<-1 or x >_2

300

Write a compound inequality statement for:

x is less than -3 or greater or equal to 5

x<-3 or x>_5

400

Solve the compound inequality and graph:

-4>y+2>-10

-12<y<-6

500

Solve the compound inequality and graph:

5-m<4 or 7m>35

m>1 or m>5