Chapter 2 algebra review

Literal equations

100

Solve for b

A= (1/2)bh

(2A/h)=b

200

Solve for a

a-c = d- r

a= d-r + c

300

Solve for y

12x-4y=20

y=3x-5

400

A= (1/2)(b+c)

b=(2A/h)-c

500

Solve for R

P= (R-C)/N

R=PN+C

Absolute value equations

100

|x-10| = 3

{13,7}

200

4|x+8|= 56

{6,-22}

300

|x-2|=3x+1

(1/4)

400

|4x+3|=3-x

{-2,0}

500

4|2x-14| +10 = 18

{6,8}

Word problems

100

The length of a rectangle is 10cm greater than its width. It's perimeter is 70cm find its width and length.

12.5,22.5

200

The sides of a triangle are in a ratio of 3:5:6. If the perimeter is 98, what is the length of the SHORTEST side?

x= 21

300

The sum of three even consecutive integers is 132. Find the three numbers by letting x represent the first integer.

98,100,102

400

one side of a triangle is 3 inch longer than the shortest side and is 6 in shorter than the longest side. the perimeter is 30. find the dimensions of the triangle. 

7,10,13

500

The length of a rectangle is 6 cm longer than its width. If the perimeter of the rectangle is 48 cm, find its area.

A=135cm^2

Basic equations

100

4n-2n=4

n=2

200

-12=3-2k-3k

k=3

300

75=3(-6n-5)

n=-5

400

−16 + 5n = −7(−6 + 8n) + 3

n=1

500

−11 + 10( p + 10) = 4 − 5(2p + 11)

p=-7

Random

100

Solve for m

E=mc^2

m= (E/ c^2)

200

4x-5=31

x=9

300

|2x+1|=17

x=8 x=-9

400

|5x+1|= 3x+11

x=5

500

The length of the sides of a triangle are in the ratio of 2:4:5. Describe the length of the longest side if the perimeter is  99cm.

45