Solving Multiplication and 1 4 Division Equations Warm

Solving Multiplication and 1 -4 Division Equations Warm Up: Solve. 1. x 1 = 9 x = 10 2. 16 = n + 4 n = 12 3. The temperature was 88° in the afternoon and decreased by d° until it was 62° in the evening. How much did the temp go down? d = 26° decrease 4. To solve a one-step addition or subtraction opposite of what is problem we do the _______ already happening in the equation. Pre-Algebra

Solving Multiplication and 1 -4 Division Equations Learn to solve equations using multiplication and division. Pre-Algebra

Solving Multiplication and 1 -4 Division Equations Yesterday you solved addition and subtraction problems by doing the opposite of what was happening in the problem. We can solve a multiplication or division problem the same way! Pre-Algebra

Solving Multiplication and 1 -4 Division Equations Example 1: Solving One-Step Equations Solve 8 x = 32 8 8 1 x = 4 x=4 Check 8 x = 32 8(4) = 32 32 = 32 Pre-Algebra Find the letter and the number next to it. The 8 and x are multiplying, so we need to do the OPPOSITE! Divide both sides by 8. Check your answer by plugging in the number you got for x.

Solving Multiplication and 1 -4 Division Equations Example 2: Solving One-Step Equations Solve n = 7. 7 n = 7 • 7 n = 49 Find the letter and the number next to it. The n and 7 are dividing, so we need to do the OPPOSITE! Multiply both sides by 7. Check n =7 7 49 = 7 7 7=7 Pre-Algebra Check your answer by plugging in the number you got for x.

Solving Multiplication and 1 -4 Division Equations Partner Examples 3 and 4: n =8 Solve 9 x = 36. Solve 2 n = 2 • 8 9 x = 36 2 • 2 9 x = 36 n = 16 9 9 Check 1 x = 4 n =8 x=4 2 Check 16 = 8 2 9 x = 36 8=8 9(4) = 36 36 = 36 Pre-Algebra

Solving Multiplication and 1 -4 Division Equations Example 5: Story Problem Megan is making a scrapbook of her pictures. She wants to put 3 pictures on each page. She has 63 photos. Write and solve an equation to find how many pages she will need for all the photos. Number of pictures per page 3 Number of pages in the book = Total number of photos she has • p = 63 3 3 Write the equation (Multiplying). Opposite: Divide both sides by 3. p = 21 Megan needs 21 pages in her scrapbook. Pre-Algebra

Solving Multiplication and 1 -4 Division Equations Example 6: Story Problem Jordan already has $50 to help pay for a new snowboard. That is only one-eighth of how much money he needs. How much money does a snowboard cost? Fraction of total $ amount he has Total cost of the skateboard 1 8 • x = = Amount of money he has so far 50 1 x = 50 Write the equation (Dividing). 8 8 • 1 x = 8 • 50 Opposite: Multiply both 8 sides by 8. x = $400 Jordan needs a total of $400 to buy the skateboard Pre-Algebra