Unit 2 Study Guide: Special Equations

Proportions

100

2/9=4/(x+8)

x=10

200

6/(a-6)=3/(a-3)

a=0

300

5/(y-7)=3/(y-5)

y=2

400

6/(2n-5)=2/(n-7)

n=16

500

6/(x-8)=2/(x+6)

x=-13

Absolute Value Equations

100

|x+1|=6

x= {-7,5}

200

|6c-18|=30

c={-2,8}

300

-4|2w+6|=-32

x={-7,1}

400

5|4x-4|-9=31

x={-1,3}

500

3|x-4|+1=19

x={-2,10}

Literal Equations

100

 I=prt Solve for t.

t=I/(pr)

200

 Ax+By=C Solve for y.

y=(C-Ax)/B

300

 r=4/3(p-q) Solve for p.

p=3/4r+q

400

 A=1/2bh Solve for b.

b=(2A)/h

500

 w=7a+4b Solve for a.

a=(w-4b)/7

Word Problems

100

The larger of two numbers is one more than three times the smaller number. If the sum of numbers is 49, find the numbers.

12 and 37

200

The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers.

12 and 51

300

A larger number is five more than twice a smaller number. Their sum is 80. Find the two numbers.

25 and 55

400

The sum of consecutive odd integers is 148. Find the two numbers.

73 and 75

500

Find two consecutive integers whose sum is 93.

46 and 47

Combined Practice

100

-2|x-4|+7= -3

x={-1,9}

200

3/(m-1)=6/(3m+8)

m=-10

300

 P=2l+2w Solve for w

w=(P-2l)/2

400

Find three consecutive even integers. The sum of twice the smallest number and three times the largest number will be 42. Find all the numbers. 

6, 8, 10

500

Ryan volunteered for one more than three times the number of hours that Maddie did. Altogether, they volunteered in for 45 hours, so how many hours did Ryan volunteer for?

34 hours