Unit 3 - Equations
Day 1 – Multi-step equations- Pages 95-96 # 12-38 even, 47-49 Day 2 – Variables on both sides – pp. 101-102 # 12-44 even Day 3 – Equation Practice – Worksheet 3-2
Day 4 – Absolute value equations – Worksheet 3-3 Day 5 - Equation practice - Worksheet 3-4
Day 6– Test – unit 2 test corrections
Solving literal equations- will be covered every day
Vocabulary Absolute value
Equivalent equations Number line
Opposites
Negative number Positive number Reciprocal
Sum
Difference
Product
Quotient
Worksheet 3-1 Name __________________________
Word Problems Date: _____________ period _______
1. Hugo is buying a pair of water skis that are on sale for
3
2 of the original price.
After he uses a $25 gift certificate, the total cost before taxes is $115. What was the original price?
2. Susan had a $10 coupon for the purchase of any item. She bought a coat that was on sale for
2
1 its original price. After using the coupon, Susan paid $ 125 for
the coat. What was the original price of the coat?
3. An aircraft carrier made a trip to Guam and back. The trip there took 3 hours and the trip back took four hours. It averages 6 km/h on the return trip. Find the average speed on the way there.
4. A passenger plane made a trip to Las Vegas and back. On the trip there if flew 432 mph and on the return trip it went 480 mph. How long did the trip take if the return trip took 9 hours?
5. During an evening out, Dean paid a cab driver $20. He then spent $25 on dinner and half of his remaining money on a painting. He bought an umbrella for $23.75 and had $42.15 left. How much money did Dean have at the beginning of the weekend?
6. The band boosters are selling submarine sandwiches for $5 each. The cost of the ingredients to make the sandwiches was $1160. How many sandwiches were sold if the band made $5840 in profit?
7.
Find three consecutive integers whose sum is 21.
8.
Find three consecutive even integers whose sum is -42
9. Find three consecutive odd integers whose sum is 57.
10. Tripling the greater of two consecutive even integers gives the same result as subtracting 10 from the lesser integer. What are the integers?
11. Two thirds of a number reduced by 11 is equal to 4 more than the number. Find the number.
12. Mrs. Simms told her class to find two consecutive even integers such that twice the lesser of two integers is 4 less than two times the greater integer.
13. Suppose a video store charges nonmembers $4 to rent each video. A store membership costs $21 and members pay only $2.50 to rent each video. For what number of videos is the cost the same?
Worksheet
3-2
Name _________________________Fractions Date _____________ Period ______
Solve the following equations, eliminating fractions and decimals. Show your work on a separate piece of paper. Put your answers on this sheet.
1. 1
2 8 14 1
x− = +2x 2. 3
4
5
3 2
x x x
− −
b g
=3. 3 2 5
7 10
n− = 4. 1 9. x+ =6 31. −x
5. 3
4 4 7 1
x− = +2x 6. 7 3 4
1 8 + t = − t
7. 3
2 4 1
y− = +y 2y 8. x x 2
1
3 3
1
− = −2
9. 2 8 2 2. − . y =11 6. y+262 6. 10. 1 2 0 3. − . b=0 2. b−3
11.
MONEY Mike withdrew an amount of money from his bank account. He spent one fourth for gasoline and had $90 left. How much money did he withdraw?12.
Find three consecutive integers whose sum is 96.
13. Find two consecutive odd integers whose sum is 176.
14. Find three consecutive integers whose sum is -93
.15.
Joe and Janna leave home at the same time, traveling in opposite
directions. Joe drives 45 miles per hour and Janna drives 40 miles per
hour. In how many hours will they be 510 miles apart?
Worksheet 3-3 Name ________________________
Absolute Value equations Date _____________ period ______
Solve and graph the following.
1. c− =5 4 2. e+ =3 7 3. 6+8x− =3 12 4. 4− = −g 6
5. 4 10− =k 8 6. 2j+ =4 12 7. 2r− =6 10 8. 6 3− w =8
9. 7+2x + =4 13 10. 4x+ =4 12
Find the sum and product of the solutions of each equation.
7. x+ =5 12 8. −2 x− = −1 4 9. − + =7x 8 9
11. x− =2 7 15. − +8 5 2x− =1 17
Worksheet 3-4 Date ________________ Period ________
1. 8x + =4 76 2. 4n+12 6- n=22 3. y + 1= 2 9
4. 5n-2(n-2)= -11 5. 3 2
4 7
y + = 6. x x
2+4= 5
7. 5x+14 2- x= -9 (4x+2) 8. 6z+ =3 8z-5 9. 3 4- z= -5 +8z
10. 3x+17 5- x=12-(6x+3) 11. 5x- =2 x+3 12. 3
2 4 1
x x- = +2
13. 3 8
1 4
1 2
3
- x= x-4 14. 12x-(4x+10)=54 15. 3x- = -3 + 8 x 4
16. Sarah earned some money delivering newspapers. She bought a battery for $1.95, and gave her mother $30. She bought a ring for $7.20, and then spent half of the remaining money on a radio. If Sarah has $38.50 left, how much money did she earn delivering newspapers?
17. A rental car agency charges $140 plus 16 cents per mile to rent a certain car. How many miles will the car have to be driven if the cost of renting the car is $180?
18. One video rental club charges $25 to become a member and $2.50 to rent each video.
Another club charges no membership fee, but charges $3.25 to rent each video. How many videos must you rent to for it to cost efficient to become a member?
19. Twice the greater of two consecutive odd integers is 13 less than three times the lesser. Find the integers.
20. Find three consecutive integers whose sum is 225.
miles?
22. A cyclist is traveling on the bike path. He travels at 5 mph, and stops for 2 hours to rest and eat lunch. How many hours did he ride, if the bike trail was 45 miles long?
Solve the following absolute value equations. Find the sum and product.
23. 4x+ =4 12 24. c− =5 4 25. 2r− =6 10
