Worksheet 6c: Combining Like Terms & Distributive ... Combining Like Terms & Distributive Property ... (after combining 6 and 5) Using the Distributiv...
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CLASSWORK - Combining Like Terms & Distributive Property Combine like terms to simplify each expression. 1)
Property and Combining Like Terms. 11
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Multi-Step Equations with Combining Like Terms and. Distributive Property. Solve the following by using properties and working backwards. Show all work. 1. 2( − 6) + 5 = −26 x = ______. 2. −(−2 + 4) − 5 = 16 x = ______. 3. 3( 8 − )+6=54 x = ______. 4
Distributive Property & Combining Like Terms Simplify each expression by combining like terms. 1) n − 9 + 10 2) 5a − 5a 3) r − 9r 4)
Combine Like Terms, Use Distributive Property Worksheet Fact or Fiction: Factorials Have Nothing to Do With Factoring Simplify. 1. 4xy +3x2y 3xy +2x2y
Combine Like Terms, Use Distributive Property Worksheet. Fact or Fiction: Factorials Have Nothing to Do With Factoring. Simplify. 1. 4xy + 3x2y - 3xy + 2x2y . 2. 3x2 + 4x - 6x - 2x2. 3. 4mn - 6n2 + 2mn. 4. 16xy + 6x - 4m - (4xy - 3m). 5. 8a + 4b + 6
CreateBetterWriters.com. 37. Complex Sentences. Sentence Combining. Four Types of Sentences /. Compound-Complex Sentences. Misplaced Modifiers ... Directions: Write a dependent clause that turns the simple sentence into a complex sentence. Use the su
Download Undefined Terms point line (set of points) distance (a map from pairs of points to R≥0) angle (a set of points defined by an ordered pair of rays with a common ...
Download Birkoff's. Postulates. Some Defined. Terms. Euclidean Parallel. Postulate. Existence of. Perpendiculars. Parallel Postulate. Becomes a. Theorem. Undefined Terms point line (set of points) distance (a map from pairs of points to R≥0
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Directional Terms. Distal - farther from trunk. Proximal - closer to trunk. Lateral - away from midline. Medial - closer to midline. Anterior - front side in. Posterior - back side in anatomical position anatomical position. (ventral). (dorsal). Supe
Download Birkoff's. Postulates. Some Defined. Terms. Euclidean Parallel. Postulate. Existence of. Perpendiculars. Parallel Postulate. Becomes a. Theorem. Undefined Terms point line (set of points) distance (a map from pairs of points to R≥0
Download Birkoff's. Postulates. Some Defined. Terms. Euclidean Parallel. Postulate. Existence of. Perpendiculars. Parallel Postulate. Becomes a. Theorem. Undefined Terms point line (set of points) distance (a map from pairs of points to R≥0
Download Undefined Terms point line (set of points) distance (a map from pairs of points to R≥0) angle (a set of points defined by an ordered pair of rays with a common ...
Download Birkoff's. Postulates. Some Defined. Terms. Euclidean Parallel. Postulate. Existence of. Perpendiculars. Parallel Postulate. Becomes a. Theorem. Undefined Terms point line (set of points) distance (a map from pairs of points to R≥0
Download Undefined Terms point line (set of points) distance (a map from pairs of points to R≥0) angle (a set of points defined by an ordered pair of rays with a common ...
Download Birkoff's. Postulates. Some Defined. Terms. Euclidean Parallel. Postulate. Existence of. Perpendiculars. Parallel Postulate. Becomes a. Theorem. Undefined Terms point line (set of points) distance (a map from pairs of points to R≥0
Page 1 of 6 Name Module #2: Date Worksheet 6c: Combining Like Terms & Distributive Property View Tutorial 6c ³Objective: Recognize and combine like terms and be able to distribute terms over addition or subtraction.
Combining Like Terms Terms are called “like terms” if they have the same variable and can be combined: Like Terms 2x + 3x -6t + 4t 0.5m + 4.5m -3x + -5x + 10 x 5x – 3
Combined 5x -2t 5.0m 2x 5x -3 (They are not “like” terms, no “x” on 3)
Combining Like Terms to Solve Equations Solving Equations You order 5 plain bagels and 8 onion bagels. Each bagel is the same price. With a loaf of bread, which costs $1.50, the total bill is $8.00. Solve the equation 5b + 8b + 1.50 = 8.00 to find the cost of one bagel. b represents the cost of one bagel. Left 5b + 8b + 1.50 13b + 1.50 Combine -1.50 like terms 13b
Right = 8.00 = 8.00 -1.50 = 6.50
13b 13
= 6.50 13
b
= 0.50
(Clearly see left and right sides of equation) Subtract 1.50 from each side Divide each side by 13. Each bagel costs $.50.
Simplify by combining terms, if possible: 1. – b + 15b
2. 5x – 12x
3. –8 + (-5a)
4. 7y – ( -y)
5. –3a – ( -7a)
6. –8n – ( -8n)
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6
Page 2 of 6 Module #2: Worksheet 6c:
Name Date Combining Like Terms & Distributive Property
Solve by combining “like” terms first, then check each equation: 7. n + 4n – 11 =19
8. 9 – y + 6y
10. g + 8g – 5 = -1
= -6
9. 60 – 12b + 12= 0
11. 6x + 7.2 – x = 2.4
13. a + a + 5 + a + 3 = −1.24
12. 2c + 7.5c = 57
14. x + 2x + 3x – 7 = -25
Write an equation and then solve each problem:
8.5-in
15. A printer wants to center a 6-inch wide column of text on a page that is 8.5-inch wide. If the margins on the two sides are even, how wide should each margin be? x
6-in
Copyright 2000. All rights reserved.
7
Page 3 of 6 Module #2: Worksheet 6c:
Name Date Combining Like Terms & Distributive Property
Write an equation and then solve each problem: 16. Tapes and discs are on sale for the same price. You buy 4 tapes and 2 discs. You also buy a video that costs $16. The total bill is $82. How much does each tape cost?
17. The ages of four cousins are consecutive integers. Let the integers equal n, n + 1, n + 2, and n + 3. The sum of their ages is 26. How old is each of the cousins?
18. The perimeters of a square and an equilateral triangle add up to 77 cm. Both figures have sides of the same length. How long is each side?
Copyright 2000. All rights reserved.
8
Page 4 of 6 Name Date Combining Like Terms & Distributive Property
Module #2: Worksheet 6c:
Using the Distributive Property Distributing involves multiplying:
Remember: There is a -1 in front of the ( )
2(3x + 4)
=
6x + 4
-3(5t + 7)
=
-15t + -21 (or: -15t – 21)
6 - (-10m – 5)
=
6 + 10m + 5 10m + 11 (after combining 6 and 5)
Using the Distributive Property to Solve Equations You have purchased a total of ten compact discs and cassette tapes. The bill is $111. The discs cost $12 each and the tapes cost $9 each. How many of each type did you purchase? Let n = number of $12 discs Let 10 – n = number of $9 tapes total cost of discs plus total cost of tapes equals 12n
Divide each side by 3. (Remember: n = # of discs, 10 – n = tapes) You purchased 7 discs and 3 tapes
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Page 5 of 6 Module #2: Worksheet 6c:
Name Date Combining Like Terms & Distributive Property
Simplify by distributing: 19. 2(x + 3)
20. -5 (2a – 3)
21. -(4x – 10)
22. -7 (-2a – 5)
23. 10(-8x + 5)
24. -6 (-4a – 1)
Simplify by distributing and then combining “like” terms:
25. x + 5(x –1)
26. 8a – (2a – 3)
27. 6(y + 4) – 2y
28. –3(2r – 1) + r
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10
Page 6 of 6 Module #2: Worksheet 6c:
Name Date Combining Like Terms & Distributive Property
Solve and check each equation: 29. 2(a + 7) = 16
30. –5 (b + 2) = 30
31. 2(c – 3) – c = 9
32. 2(d +3) + d = 12
33. –2(3 –2g) + 4g = 10
34. 23 = 12 – (6 + k)
Write an equation and solve each problem: 35. A table top is rectangular. The table’s length is 60 cm more than its width. The perimeter of the table is 240 cm. Find the length and width of the table.
36. Bill bought 10 lbs of peanuts and cashews for his party. The cashews cost $7/lb and the peanuts $3/lb. Bill spent a total of $50. How many pounds of each did he buy?
