Unit 2 Alg 1 Review

Solving Equations

100

Solve for x:

-12(x+5)=144

x=-17

200

Find m. 

(m/9)-1=-2

m=-9

300

Solve for x. 

2(4x-3)-8-2x=4

x=3

400

Solve for n.

5n+34=-2(1-7n)

n=4

500

Solve for m. 

24m-22=-4(1-6m)

no solution

Literal Equations

100

A=bh       for h 

h=A/b

200

g=-c+x                 for x 

x=g+c

300

u=k/a      for k

k=ua

400

Ax+By=C     for B

B= (C-Ax)/y

500

z=b+(m/a)      for a 

a = m / (z-b)

Translating

100

Translate. 

Three more than a number is 12. 

3+x=12

or 

x+3=12

200

Translate

4 less than twice a number is 10. 

2x-4=10

300

Translate

The product of a number and 8 decreased by 5 is 17. 

8x-5=17. 

400

the quotient of a number and 8 increased by three is 11. 

x/8 +3 = 11

500

three times the difference of a number and two, increased by 5, is 20. 

3(x-2)+5=20

Word Problems

100

The larger of two numbers is 10 less than twice the smaller number. If the sum of the two numbers is 38, find the two numbers. 

16, 22

200

The number of years that Brad has been on the soccer team is 2 less than 5 times the number of years that Scott has. In total, the boys have been on the soccer team for 10 years. How long has Brad been on the soccer team?

8 years

300

The length of a rectangle is 5 less than twice its width. The perimeter is 26 meters. Find the dimensions of the rectangle. 

6 meters, 7 meters

400

The sum of three consecutive numbers is 33 more than the smallest number. Find the numbers. 

15, 16, 17

500

The sum of three consecutive odd integers is 18 less than the middle number. Find the integers.        

-11, -9, -7