Embed Size (px)
Citation preview
Solve Two-Step Equations
Solve 5x + 1 = 26.
Method 1 Use a model.
Remove a 1-tile from the mat.
Solve Two-Step Equations
Separate the remaining tiles into 5 equal groups.
There are 5 tiles in each group.
Solve Two-Step Equations
Method 2 Use symbols.
Use the Subtraction Property of Equality.
Write the equation.
Subtract 1 from each side.=
Solve Two-Step Equations
Use the Division Property of Equality.
Answer: The solution is 5.
Divide each side by 5.
Simplify.
BrainPop: Two-Step Equations
1. A
2. B
3. C
4. D0% 0%0%0%
A. 6
B. 8
C. 9
D. 12
Solve 3x + 2 = 20.
Solve Two-Step Equations
Write the equation.
Answer: The solution is –18.
Subtract 2 from each side.
Simplify.
Multiply each side by 3.
Simplify.
1. A
2. B
3. C
4. D0% 0%0%0%
A. 14
B. 8
C. –26
D. –35
Equations with Negative Coefficients
Answer: The solution is –2.
Write the equation.
Definition of subtraction
Subtract 8 from each side.
Simplify.
Divide each side by –3.
Simplify.
1. A
2. B
3. C
4. D0% 0%0%0%
A. –3
B. –1
C. 2
D. 5
Solve 5 – 2x = 11.
Combine Like Terms First
Write the equation.
Identity Property; –k = –1k
Combine like terms;–1k + 3k = (–1 + 3)k or 2k.Add 2 to each side.
Simplify.
Divide each side by 2.
Simplify.
Solve 14 = –k + 3k –2. Check your solution.
Check
14 = –k + 3k – 2 Write the equation.
Answer: The solution is 8.
Combine Like Terms First
14 = –8 + 3(8) – 2 Replace k with 8.?
14 = –8 + 24 – 2 Multiply.?
14 = 14 The statement is true.
1. A
2. B
3. C
4. D0% 0%0%0%
A. 3
B. 5
C. 8
D. 10
Solve 10 = –n + 4n –5.
1. A
2. B
3. C
4. D0% 0%0%0%
A. 8y – 3
B. y – 24
C. 8y – 24
D. 8y + 24
Use the Distributive Property to rewrite the expression 8(y – 3).
(over Lesson 8-1)
1. A
2. B
3. C
4. D0% 0%0%0%
A. –22m + 2n
B. –22m – n
C. –11m + n
D. –11m – n
Use the Distributive Property to rewrite the expression –2(11m – n).
(over Lesson 8-1)
1. A
2. B
3. C
4. D0% 0%0%0%
A. 15k
B. 16k
C. 17k
D. 18k
Simplify 7k + 9k.
(over Lesson 8-1)
1. A
2. B
3. C
4. D0% 0%0%0%
A. 3h – 3
B. –3h + 3
C. –3h – 3
D. 3h + 3
Simplify 14h – 3 – 11h.
(over Lesson 8-1)
1. A
2. B
3. C
4. D
0% 0%0%0%
A. 3x – 2
B. 3x + 2
C. 4x – 2
D. 4x + 2
Sara has x number of apples, 3 times as many oranges as apples, and 2 peaches. Write an expression in simplest form that represents the total number of fruits.
(over Lesson 8-1)
1. A
2. B
3. C
4. D
0% 0%0%0%
A. 5x + 1
B. 3x
C. 2x – 1
D. 6x
Which expression represents the perimeter of the triangle?
(over Lesson 8-1)
