Chapter 6 Review

systems of equations

100

solve for y.

8x+4y=2

y=-2x+1/2

200

solve for x and y.

y=-x+8

y=x-2

x=5    y=3

(5,3)

300

solve for x and y.

2x-y=10

y=-4x+2

x=2       y=-6

(2,-6)

400

solve for x and y.

y=-2x+5

2y+4x=10

all real numbers

500

2x+3y=9

-3x+3y=-6

x=3     y=1

(3,1)

solving equations for variables

100

y=mx+b    (for b) 

b=y-mx

200

y=mx+b    (for x)

x=y-b/m

300

I=prt     (for t)

t=I/pr

400

p=-aw+9     (for w)

w=p-9/-a

500

bx-y=-2y     (for y)

y=-bx

solving equations for x

100

10-2(2x+1)=4(x-2)

x=2

200

5-(2x-3)=-8+2x

x=4

300

4x-2(6-x)=6

x=3

400

x(2x-4)=(2x+1)(x-2)

x=2

500

2x+22=12

x=-5

solving equations for y

100

8y+y-3=6y-2y-3

y=0

200

(y+2)(y+3)=(y+2)(y-2)

y=-2

300

y/2+1=6

y=10

400

-2(4-3y)-6y=10

no solution

500

y-5/-2=y-1/-3

y=13

methods for solving systems of equations

100

What method should you use to answer this?

x=4-2y

3x-2y=4

substitution

200

What method should you use to answer this? 

3x+y=1

4x+y=2

elimination

300

What method should you use to answer this?

x=-5y+2

x=3y-2

equal values 

400

What method should you use to answer this?

-6x+2y=76

3x-y=-38

elimination

500

What method should you use to answer this?

x-3=y

2(x-3)-y=7

substitution