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```8th Grade Math Q1 Comp 2 Due 8/29
Name ________________________________________
Solving Multi-Step Equations
Directions: Distribute, if necessary. Collect “Like Terms” on each side.
Use inverse (opposite) operations to isolate the variable.
1st: Undo Addition or Subtraction 2nd: Undo Multiplication or Division
1. 15x  8  3x  16
2. 5n  3  4n  30
3. h  6  7h  42
4. 3(n  5)  2  26
5. 4  2(v  6)  8
6. 1.4  1.6(t  6)  4.6
7. 2.4(m  3)  3.8  8.2
8. 6  8(s 
10. 4(c  3)  6  10
11.
3
)  20
4
3.8(s  6)  4.6  22
9. 5(c 
4
)  6  50
5
12. 18(m 
4
)  16  118
9
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
14
Holt McDougal Mathematics
8th Grade Math Q1 Comp 2 Due 8/29
Name ________________________________________
For each of the word problems, identify the variables and write an equation. Find the solution for
each problem. Show your work on a separate sheet of paper.
1. Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per
day. In how many days will the water level be 26 feet?
Solution:_________________________________________________________________
2. Seth’s father is thinking of buying his son a six-month movie pass for \$40. With the pass,
matinees cost \$1.00. If matinees are normally \$3.50 each, how many times must Seth attend in
order for it to benefit his father to buy the pass?
Solution:_________________________________________________________________
3. For babysitting, Nicole charges a flat fee of \$3, plus \$5 per hour. How much money will she make
if she baby-sits 5 hours?
Solution:_________________________________________________________________
1. A plumber charges \$25 for a service call plus \$50 per hour of service. What will be the total
cost for 8 hours of work? 10 hours of work?
Solution:_________________________________________________________________
2. Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25
pounds each week. How long will it take Rufus to collect 400 pounds of cans?
Solution:_________________________________________________________________
3. A canoe rental service charges a \$20 transportation fee and \$30 dollars an hour to rent a canoe.
What is the cost of renting the canoe for 6 hours?
Solution:_________________________________________________________________
4. A caterer charges \$120 to cater a party for 15 people and \$200 for 25 people. How much would
a party for 40 people cost?
Solution:_________________________________________________________________
5. An attorney charges a fixed fee on \$250 for an initial meeting and \$150 per hour for all hours
worked after that. Find the charge for 26 hours of work.
Solution:_________________________________________________________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
15
Holt McDougal Mathematics
8th Grade Math Q1 Comp 2 Due 8/29
Name ________________________________________
16. Joel has twice as many CDs as Mariella has. Subtracting 7 from
the number of CDs Joel has and dividing by 3 equals the
number of CDs Blake has. If Blake has 25 CDs, how many CDs
does Mariella have?
________________________________________________________________________________________
5. x  3
6. b  1
7
8
9. z  13
11. 2 kilometers
7. n 
4. Get the variable by itself.
5. 3n
6. division
7. Compute and simplify
Puzzles, Twisters & Teasers
8. w  6
10. b  4
Practice B
1. 42
3. 1
2. 6
4. 12
1. x  2
2. n  3
3. h  6
4. g  9
5. 5
6. 40
5. b  1
6. y  2
7. 12
8. 9
7. k  5
8. m  3
2
5
W A T E R
9.
10. 3
M O C C A S I N S
10. n  3
11. v  12
12. t  8
13. m  2
14. s  4
15. c  8
16. Mariella has 41 CDs.
LESSON 12-2
Practice A
1. B
3. A
9. d  7
Practice C
2. F
4. H
1. x  2
2. n  6
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
16
Holt McDougal Mathematics
3. h  5
4. g  16
5. a  1
6. y  58
7. c  7
8. s  1
9. m  7
10. u  2
11. n  90
12. t  2
13. m  12
14. s  24
3. R
5. S
7. W
4. O
6. S
8. I
15. a  0.8
16. There are 2 cucumber plants and
10 tomato plants.
Review for Mastery
1. 8a; 8a;
7; 7; 7;
24;
8a 24
;
; 8;
8
8
3
2. 4; 4; 4;
9; 9;
9; 9; 9;
3. b  3
4. y  5
5. c  2
6. r  7
7. s  3
8. x  9
12; 4;
3
Challenge
1. (5, 15)
3. (7, 5)
2. (8, 2)
4. (5, 3)
5. (5, 2)
6. (6, 3)
7. (5, 7)
8. (3, 1)
Problem Solving
1.
3.
5.
7.
9.
43.68 °C
57.12 °C
39.14 °F
B
A
2.
4.
6.
8.
10.
19.04 °C
62.16 °C
82 °F
G
G
1. 4 terms
3. 2 terms
2. 2 terms
4. 4x and 2x
5. 6x
6. 6 and 3
7. 6  3  3
8. 6x  3  33
Puzzles, Twisters & Teasers
1. A
2. C
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
67
Holt McDougal Mathematics
```