Download - LESSON 2–3 Solving Multi-Step Equations. Over Lesson 2–2 5-Minute Check 1 Solve z – 11 = 15
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LESSON 2–3
Solving Multi-Step Equations
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Over Lesson 2–2
Solve z – 11 = 15.
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Over Lesson 2–2
Solve 2.4 + w = –1.9.
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Over Lesson 2–2
Solve 28 = x – (–5).
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Over Lesson 2–2
Write an equation for a number decreased by –4 is equal to 15. Then solve the equation.
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Over Lesson 2–2
A farmer planted 35 more acres of corn this year than last year. If he planted 200 acres of corn this year, how many acres did he plant last year?
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Over Lesson 2–2
A plane travels at 380 miles per hour. How many hours does it take for this plane to travel 2090 miles, if it maintains the same speed?
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Targeted TEKSA.5(A) Solve linear equations in one variable,including those for which the application of thedistributive property is necessary and for whichvariables are included on both sides.
Mathematical Processes
A.1(E), A.1(F)
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• multi-step equation
• consecutive integers
• number theory
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Solve Multi-Step Equations
A. Solve 2q + 11 = 3. Check your solution.
2q + 11 = 3 Original equation
2q + 11 – 11 = 3 – 11 Subtract 11 from each side.
2q = –8 Simplify.
Answer: q = –4
To check, substitute –4 for q in the original equation.
Divide each side by 2.
q = –4 Simplify.
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Solve Multi-Step Equations
B. Solve . Check your solution.
Original equation
Multiply each side by 12.
Simplify.k + 9 = –24
Subtract 9 from each side.k + 9 – 9 = –24 – 9
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Solve Multi-Step Equations
Answer: k = –33
To check, substitute –33 for k in the original equation.
Simplify. k = –33
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A. Solve 6v + 7 = –5. Check your solution.
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B. Solve . Check your solution.
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Write and Solve a Multi-Step Equation
SHOPPING Susan had a $10 coupon for the purchase
of any item. She bought a coat that was its original
price. After using the coupon, Susan paid $125 for the coat before taxes. What was the original price of the coat? Write an equation for the problem. Then solve the equation.
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Write and Solve a Multi-Step Equation
Original equation
p = 270 Simplify.
Answer: The original price of the coat was $270.
Add 10 to each side.
Simplify.
Multiply each side by 2.
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Three-fourths of the difference of a number and 7 is negative fifteen. What is the number?
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Solve a Consecutive Integer Problem
NUMBER THEORY Write an equation for the problem below. Then solve the equation and answer the problem. Find three consecutive odd integers with a sum is 57.
Let n = the least odd integer.
Let n + 2 = the next greater odd integer.
Let n + 4 = the greatest of the three odd integers.
The sum of three consecutive odd integers is 57.
n + (n + 2) + (n + 4) = 57
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Solve a Consecutive Integer Problem
n + (n + 2) + (n + 4) = 57 Original equation
3n + 6 = 57 Simplify.
3n + 6 – 6 = 57 – 6 Subtract 6 from each side.
3n = 51 Simplify.
Answer: The consecutive odd integers are 17, 19, and 21.
n = 17 Simplify.
n + 2 = 17 + 2 or 19
n + 4 = 17 + 4 or 21
Divide each side by 3.
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Find three consecutive even integers whose sum is 84.
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LESSON 2–3
Solving Multi-Step Equations