Holt CA Course 1 1-11Solving Equations by Multiplying AF1.1 Write and solve one-step linear equations in one variable. California Standards.

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Presentation transcript:

Holt CA Course Solving Equations by Multiplying AF1.1 Write and solve one-step linear equations in one variable. California Standards

Holt CA Course Solving Equations by Multiplying VOCABULARY CARDS

Holt CA Course Solving Equations by Multiplying x = 35 Multiply both sides by 7 to undo the division. Substitute 35 for x in the equation. Solve the equation. Check your answer. 35 is the solution. 5 = 5 ? Teacher Example 1: Solving Equations by Multiplying x 7 = 5 x is divided by 7. x 7 = 5 7 7  x 7 = 7  5 Check x 7 = = 5 ?

Holt CA Course Solving Equations by Multiplying x = 18 Multiply both sides by 2 to undo the division. Substitute 18 for x in the equation. Solve the equation. Check your answer. 18 is the solution. 9 = 9 ? Student Practice 1: x 2 = 9 x is divided by 2. x 2 = 9 2 2  x 2 = 2  9 Check x 2 = = 9 ?

Holt CA Course Solving Equations by Multiplying 78 = p Multiply both sides by 6 to undo the division. Substitute 78 for p in the equation. Solve the equation. Check your answer. 78 is the solution. 13 = 13 ? Teacher Example 2: p 6 13 = 6 6  p 6 6  13 = p is divided by 6. p 6 13 = Check p 6 13 = ? =

Holt CA Course Solving Equations by Multiplying 288 = p Multiply both sides by 4 to undo the division. Substitute 288 for p in the equation. Solve the equation. Check your answer. 288 is the solution. 72 = 72 ? Student Practice 2: p 4 72 = 4 4  p 4 4  72 = p is divided by 4. p 4 72 = Check p 4 72 = ? =

Holt CA Course Solving Equations by Multiplying At Elk Meadows Park an aspen tree is one-third the height of a pine tree. Teacher Example 3: Application height of aspen = height of pine 3 The aspen tree is 14 feet tall. How tall is the pine tree? Let h represent the height of the pine tree. 42 = h Multiply both sides by 3 to undo the division. 3 3  h 3 3  14 = Substitute 14 for height of aspen. h is divided by 3. h 3 14 = The pine tree is 42 feet tall.

Holt CA Course Solving Equations by Multiplying Student Practice 3: Let w represent her father’s weight. 190 = w Multiply both sides by 2 to undo the division. 2 2  w 2 2  95 = Substitute 95 for Jamie’s weight. w is divided by 2. w 2 95 = Jamie’s father weighs 190 pounds. Jamie weighs one-half as much as her father. Jamie’s weight = father’s weight 2 Jamie weighs 95 pounds. How many pounds does her father weigh?

Holt CA Course Solving Equations by Multiplying Warm-Up