Mathematics : Solving Equations
Sept.24/08
Name:
Solve the following equations. Show all your work. (20pts)
1. -3x+5=10
2. 8x+3=4
3. x/6+8=15
4. -4x-9=-13
5. 5/3x+7=12
6. -4/7x-15=-8
7. 1-x=x-1
8. 4-3.2x=14
9. 2x/5+10=-10
10. –x+3=0
Solve the following equations. Show all your work. (20pts)
1. 5x-3=4x+5
2. 1/2x+2=3/4x-8
3. 7-3x=6+5x
4. 2x+x+x-6-x+3x=4x-6
5. 6x/7-2=2x/7+8
6. 6x+1.8=3x-4.2
7. 1x/3+20=x+4
8. 5 1/4y=25
9. 3x+100+5x=900
10. 5x+5=0
Solve the following. Show all your work. (20pts)
1. 4(2x+6)=5(4x-10)
2. -3(2x+5)=-6(2x-12)
3. 4x-6=3x+7
8
5
4. y+4=y+10
10 15
5. 5(3x-2)=2(3x+5)
8
4
Solve the following algebraically. Show all your work. (15pts)
1. Find three consecutive even integers such that the sum of
the first two is 56 less than 3 times the third.
2. Find three consecutive integers such that twice the
smallest is 57 less than three times the largest.
3. In a marathon relay race, Katie ran the first leg in a certain
amount of time. Jessica ran the second leg 3 minutes slower
than Katie. Jill ran the third leg 21 minutes slower than
Jessica, and Kelsey ran the final leg of the race in ¾ of Katie’s
time. If the team finished the race in 4 hours and 24 minutes,
how fast was each girl?