Splash Screen. Lesson Menu Five-Minute Check (over Lesson 3–4) Main Idea and Vocabulary Example...
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Transcript of Splash Screen. Lesson Menu Five-Minute Check (over Lesson 3–4) Main Idea and Vocabulary Example...
Five-Minute Check (over Lesson 3–4)
Main Idea and Vocabulary
Example 1:Solve a Two-Step Equation
Example 2:Solve Two-Step Equations
Example 3:Solve Two-Step Equations
Example 4:Solve Two-Step Equations
Concept Summary: Solving Two-Step Equations
Example 5:Real-World Example
• two-step equation
• Solve two-step equations.
Solve a Two-Step Equation
Solve 4x + 3 = 19.
4x + 3 = 19 Write the equation.
4x = 16 Simplify.
x = 4 Simplify.
–3 = –3 Subtract 3 from each side.
Divide each side by 4.
Answer: The solution is 4.
Solve a Two-Step Equation
Check
4x + 3 = 19 Write the original equation.?
4(4) + 3 = 19 Replace x with 4.
19 = 19
BrainPOP: Two-Step Equations
16 + 3 = 19 Simplify.?
1. A
2. B
3. C
4. D0% 0%0%0%
Solve 3t – 7 = 14. Check your solution.
A.
B. 7
C. 18
D. 24
Solve Two-Step Equations
Solve 6 + 5y = 26. Check your solution.
6 + 5y = 26 Write the equation.
5y = 20 Simplify.
y = 4 Simplify.
–6 = –6 Subtract 6 from each side.
Divide each side by 5.
Answer: The solution is 4.
Solve Two-Step Equations
Check
6 + 5y = 26 Write the original equation.?
6 + 5(4) = 26 Replace y with 4.
26 = 26
6 + 20 = 26 Simplify.?
1. A
2. B
3. C
4. D0% 0%0%0%
A. 4
B. 5
C. 6
D. 7
Solve 4 + 2w = 18. Check your solution.
Solve Two-Step Equations
Solve –3c + 9 = 3. Check your solution.
–3c + 9 = 3 Write the equation.
–3c = –6 Simplify.
c = 2 Simplify.
–9 = –9 Subtract 9 from each side.
Divide each side by –3.
Answer: The solution is 2.
Solve Two-Step Equations
Check
–3c + 9 = 3 Write the original equation.?
–3(2) + 9 = 3 Replace c with 2.
3 = 3
–6 + 9 = 3 Simplify.?
1. A
2. B
3. C
4. D0% 0%0%0%
A. –3
B. –1
C. 3
D. 7
Solve –8k + 7 = 31. Check your solution.
Solve 0 = 6 + 3t. Check your solution.
Solve Two-Step Equations
–6 = –6 Subtract 6 from each side.
Answer: The solution is –2.
Solve Two-Step Equations
Check
6 + 3t = 0 Write the original equation.?
6 + 3(–2) = 0 Replace t with –2.
0 = 0
6 – 6 = 0 Simplify.?
1. A
2. B
3. C
4. D0% 0%0%0%
A. –8
B. 2
C. 8
D. 16
Solve 0 = –4x + 32. Check your solution.
PARKS There are 76 thousand acres of state parkland in Georgia. This is 4 thousand acres more than three times the number of acres of state parkland in Mississippi. How many acres of state parkland are there in Mississippi?
Words Three times the number of acres of state parkland in Mississippi plus 4,000 equals 76,000.
Variable Let m = the acres of state parkland in Mississippi.
Equation 3m + 4,000 = 76,000
3m + 4,000 = 76,000 Write the equation.
Answer: There are 24,000 acres of state parkland in Mississippi.
3m = 72,000Simplify.
m = 24,000Simplify.
–4,000 = –4,000Subtract 4,000 from
each side.
Divide each side by 3.
1. A
2. B
3. C
4. D
0% 0%0%0%
A. 16 hits
B. 36 hits
C. 56 hits
D. 72 hits
BASEBALL Mathew had 64 hits during last year’s baseball season. This was 8 less than twice the number of hits Gregory had. How many hits did Gregory have during last year’s baseball season?
End of the Lesson
Five-Minute Check (over Lesson 3–4)
Image Bank
Math Tools
Solving Equations Using Models
Perimeter
Solving Equations Two-Step Equations
1. A
2. B
3. C
4. D
0% 0%0%0%
(over Lesson 3-4)
A. $18
B. $27
C. $54
D. $36
Solve the problem using the work backward strategy. Miguel spent $6 on fast food. Then he spent $3 on ice cream. After buying some comics, he had $9 left, which was one third of what he had to start with. How much money did Miguel have to start with?
1. A
2. B
3. C
4. D0% 0%0%0%
(over Lesson 3-4)
A. $160
B. $80
C. $200
D. $240
Solve the problem using the work backward strategy. Curtis paid $80 on the vet bill for his dog. Then the vet charged him $40 more for his dog’s medicine. If he now owes the vet $120, what was the starting balance on his bill?
1. A
2. B
3. C
4. D0% 0%0%0%
(over Lesson 3-4)
A. 25
B. 16
C. 18
D. 21
Solve the problem using the work backward strategy.A number is divided by 3. Then 5 is added to the quotient. After subtracting 2, the result is 10. What is the number?
1. A
2. B
3. C
4. D
0% 0%0%0%
(over Lesson 3-4)
A. 16
B. 15
C. 12
D. 8
Dexter and Roshonda shared a pizza. Dexter ate 3 more than twice as many pieces as Roshonda, who ate 3 pieces. If there are 4 pieces left, how many pieces were there initially?
