main idea/vocabulary write two-step equations that represent real-life situations
TRANSCRIPT
• Write two-step equations that represent real-life situations.
Translate Sentences into Equations
Translate three more than half a number is 15 into an equation.
Answer:
1. A
2. B
3. C
4. D0% 0%0%0%
Translate five more than one-third a number is 7 into an equation.
A.
B.
C.
D.
Translate Sentences into Equations
Translate nineteen is two more than five times a number into an equation.
Answer: 19 = 5n + 2
1. A
2. B
3. C
4. D0% 0%0%0%
A. 15 = 3n + 6
B. 15 = 6n + 3
C. 15 = 3(n + 6)
D. 15 = 6(n + 3)
Translate fifteen is three more than six times a number into an equation.
Translate Sentences into Equations
Translate eight less than twice a number is –35 into an equation.
Answer: 2n – 8 = –35
1. A
2. B
3. C
4. D0% 0%0%0%
A. 3(n – 6) = –22
B. 6(n – 3) = –22
C. 3n – 6 = –22
D. 6n – 3 = –22
Translate six less than three times a number is –22 into an equation.
TRANSPORTATION A taxi ride costs $3.50 plus $2 for each mile traveled. If Jan pays $11.50 for the ride, how many miles did she travel?
Words $3.50 plus $2 per mile equals $11.50
Variable Let m represent the number of miles driven.
Equation 3.50 + 2m = 11.50
3.50 + 2m = 11.50 Write the equation.
3.50 – 3.50 + 2m = 11.50 – 3.50 Subtract 3.50 from each side.
2m = 8Simplify.
Answer: Jan traveled 4 miles.
Divide each side by 2.
Simplify.
1. A
2. B
3. C
4. D0% 0%0%0%
A. 200 miles
B. 250 miles
C. 300 miles
D. 325 miles
TRANSPORTATION A rental car costs $100 plus $0.25 for each mile traveled. If Kaya pays $162.50 for the car, how many miles did she travel?
DINING You and your friend spent a total of $33 for dinner. Your dinner cost $5 less than your friend’s. How much did you spend for dinner?
Words Your friend’s dinner plus your dinner equals $33.
Variable Let f represent the cost of your friend’s dinner.
Equation f + f – 5 = 33
f + f – 5 = 33 Write the equation.
2f – 5 = 3 Combine like terms.
2f – 5 + 5 = 33 + 5 Add 5 to each side.
2f = 38 Simplify.
Answer: Your friend spent $19 on dinner. So you spent $19 – $5, or $14, on dinner.
f = 19 Simplify.
Divide each side by 2.
1. A
2. B
3. C
4. D0% 0%0%0%
A. $22
B. $26
C. $28
D. $30
DINING You and your friend spent a total of $48 for dinner. Your dinner cost $4 more than your friend’s. How much did you spend for dinner?
1. A
2. B
3. C
4. D0% 0%0%0%
Solve 3n + 2 = 8. Then check your solution.
(over Lesson 8-2)
A. 2
B.
C.
D. 4
1. A
2. B
3. C
4. D0% 0%0%0%
Solve 6n – 3 = 21. Then check your solution.
(over Lesson 8-2)
A.
B. 3
C.
D. 4
1. A
2. B
3. C
4. D0% 0%0%0%
A. –5
B. –1
C. 1
D. 5
Solve 2 = 3 – a. Then check your solution.
(over Lesson 8-2)
1. A
2. B
3. C
4. D0% 0%0%0%
A. –16
B. –6
C. 6
D. 16
Solve –5 + 2a – 3a = 11. Then check your solution.
(over Lesson 8-2)
1. A
2. B
3. C
4. D0% 0%0%0%
Jack traveled 5 miles plus 3 times as many miles as Janice. He traveled 23 miles in all. How far did Janice travel?
(over Lesson 8-2)
A. 18 miles
B.
C.
D. 6 miles
1. A
2. B
3. C
4. D0% 0%0%0%
If 3x – 2 = 16, which choice shows the value of 2x – 3?
(over Lesson 8-2)
A.
B. 6
C. 9
D. 15