2-3 Solving Multi-Step Equations Solve each equation ...

[Pages:39]2-3 Solving Multi-Step Equations Solve each equation. Check your solution.

3m + 4 = ?11 62/87,21

Check:

12 = ?7f ? 9 62/87,21

Check:

62/87,21

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2-3 Solving Multi-Step Equations 62/87,21

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62/87,21

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2-3 Solving Multi-Step Equations 62/87,21

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NUMBER THEORY Twelve decreased by twice a number equals ?34. Write an equation for this situation and then find the number.

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Let n = a number.

Twelve decreased twice a equals

?34.

by

number

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=

?34

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2-3 Solving Multi-Step Equations

NUMBER THEORY Twelve decreased by twice a number equals ?34. Write an equation for this situation and then find the number.

62/87,21

Let n = a number.

Twelve decreased twice a equals

?34.

by

number

12

?

2n

=

?34

The equation is 12 ? 2n = ?34, and the number is 23.

BASEBALL Among the career home run leaders for Major League Baseball, Hank Aaron has 175 fewer than twice the number that Dave Winfield has. Hank Aaron hit 755 home runs. Write an equation for this situation. How many home runs did Dave Winfield hit in his career?

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Let h = the number of home runs Dave Winfield hit.

175 fewer than twice the

number that Dave Winfield

has 2h ? 175

equals =

the number of home runs Hank Aaron has

755

Dave Winfield hit 465 home runs in his career.

Write an equation and solve each problem. Find three consecutive odd integers with a sum of 75.

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Let n = the least odd integer. Then n + 2 = the next greater odd integer, and n + 4 = the greatest of the three integers. The sum of the three consecutive odd integers is 75. So, n + (n + 2) + (n + 4) = 75.

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2-3 Solving Multi-Step Equations Dave Winfield hit 465 home runs in his career.

Write an equation and solve each problem. Find three consecutive odd integers with a sum of 75.

62/87,21 Let n = the least odd integer. Then n + 2 = the next greater odd integer, and n + 4 = the greatest of the three integers. The sum of the three consecutive odd integers is 75. So, n + (n + 2) + (n + 4) = 75.

The integers are 23, 25, and 27.

Find three consecutive integers with a sum of ?36.

62/87,21 Let n = the least integer. Then n + 1 = the next greater integer, and n + 2 = the greatest of the three integers. The sum of the three consecutive integers is ?36. So, n + (n + 1) + (n + 2) = ?36.

The integers are ?13, ?12, and ?11.

Solve each equation. Check your solution. 3t + 7 = ?8

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2-3 Solving Multi-Step Equations The integers are ?13, ?12, and ?11. Solve each equation. Check your solution.

3t + 7 = ?8 62/87,21

Check:

8 = 16 + 8n 62/87,21

Check:

?34 = 6m ? 4 62/87,21

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2-3 Solving Multi-Step Equations ?34 = 6m ? 4

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9x + 27 = ?72 62/87,21

Check:

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2-3 Solving Multi-Step Equations

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Check:

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