# Solving Equations One Step Solving Equations Multiple Steps

- Slides: 54

Solving Equations (One Step) Solving Equations (Multiple Steps) Solving Equations (Variable on Both Sides) Problem Solving & Decimals Formulas, Ratios, Rates, & Percents 5 pt 5 pt 10 pt JEOPARDY 10 pt 15 pt Pagan STYLE 15 pt 20 pt 20 pt 25 pt 25 1 pt Final Jeopardy

Solve: 48 = 6 y 2

48 / 6 = (6 y)/6 8=y y=8 3

Solve the equation: x/5 = 3 4

(5) x/5 = 3 (5) x = 15 5

Solve the equation: 21 = m - 7 6

7 + 21 = m – 7 + 7 28 = m m = 28 7

Solve the equation: 13 = m + 4 8

13 – 4 = m + 4 – 4 9=m m=9 9

Solve the equation: (3/4) m = 6 10

(3/4)m = 6 Divide by (3/4) m = 6 (3/4) m=8 11

Solve the equation: (5/14)y – 30 = 0 12

(5/14)y – 30 + 30 = 0 + 30 (5/14)y = 30 (5/14) y / (5/14) = 30 / (5/14) y = 84 13

Solve the equation: 8 x + 3 = 35 14

8 x + 3 – 3 = 35 – 3 8 x = 32 8 x/8 = 32/8 x=4 15

Solve the equation: 3 x + 5 = 26 16

3 x + 5 – 5 = 26 – 5 3 x = 21 3 x/3 = 21/3 x=7 17

Solve the equation: (y + 1)/2 = 9 18

(y + 1) /2 = 9 2(y + 1)/2 = 9 (2) y + 1 = 18 y + 1 - 1 = 18 – 1 y = 17 19

Solve the equation: (2 y -3) = 5 3 20

3 (2 y - 3) = 5 (3) 3 2 y – 3 = 15 2 y – 3 + 3 = 15 + 3 2 y = 18 (2 y)/2 = 18/2 y=9 21

Solve the equation 3 – 4 z = -5 + 8 z 22

3 – 4 z + 4 z = -5 + 8 z + 4 z 3 = -5 + 12 z 3 + 5 = -5 + 12 z + 5 8 = 12 z 8/12 = 12 z/12 2/3 = z z = 2/3 23

Solve the equation: 6 x + 7 = x + 3 24

Solve the equation 6 z + 3 = 8 z -5 26

6 z + 3 – 6 z = 8 z - 5 - 6 z 3 = 2 z – 5 3 + 5 = 2 z – 5 + 5 8 = 2 z 8/2 = 2 z/2 4=z z=4 27

Solve the equation 2(x -1) = 4 x + 3 28

Solve the equation (5/2) – x(x + 1) = x(2 – x) 30

The diagram below is for a box you want to build to hold your magazines. Using the measurements of the box, draw another diagram to determine the smallest sheet of wood that will be needed to make your box. 6 in 11 in 5 in 32

One Solution (break apart the box) 6 6 11 5 5 11 11 11 5 5 11 6 5 6 Fill in spaces 21 in by 17 in 33

Solve the equation. Round your result to two decimal places. 18. 3 y – 7. 6 = 8. 4 y – 14. 6 34

18. 3 y – 7. 6 – 8. 4 y = 8. 4 y – 14. 6 -8. 4 y 9. 9 y – 7. 6 = -14. 6 9. 9 y – 7. 6 + 7. 6 = -14. 6 + 7. 6 9. 9 y = -7 9. 9 y/9. 9 = -7/9. 9 y~ -. 707070… y = -. 71 35

The triangle below has a perimeter of 20 inches. Solve for x x 8 x+2 36

x + (x + 2) + 8 = 20 2 x + 10 – 10 = 20 – 10 2 x = 10 2 x/2 = 10/2 x=5 37

The circle has a circumference of 27 inches. Approximate the radius of the cirlce to two decimal places. (hint: C = 2Πr) r 38

C = 2(pi)r 27/(2 pi) = 2(pi)r/(2 pi) 4. 297183. . = r r = 4. 30 inches 39

An 18 foot pole extends x feet below ground and 17 feet above ground. Write a linear equation that models the situation. 40

18 = x + 17 41

What is the salesperson’s commision on a $400 sale if the commission rate is 25%? 42

. 25 (400) = $100 43

In 2 hours a candymaker can produce 80 boxes that each contain 10 pieces of candy. How many pieces of candy does the candymaker produce in 6 hours? 44

In 2 hours: 80 (10) = 800 In 6 hours: 800(3) = 2400 pieces of candy 45

If an 18 ounce can of gourmet pineapple juice sells for $3. 60, find the cost of one ounce? 46

3. 60/18 = $0. 20 47

A jumbo jet carries 290 passengers, 34 in first class, and the remainder in coach. If the average first class ticket is $780 and the average coach ticket is $254, how much will the airline gross if the plane is full? 48

290 – 34 = 256 coach tickets 256(254) = 65024 34(780) = 26520 65024 + 26520 = 91544 $91, 544 49

The Fahrenheit and Celsius scales are related by the equation F = (9/5)C + 32. What temperature Celsius would give the body temperature of 98. 6°F ? 50

98. 6 = (9/5)C + 32 66. 6 = (9/5)C 37 = C 37°C 51

FINAL JEOPARDY Make wages: Category Similar triangles 52

Find the perimeter of triangle DEF if triangle ABC ~ triangle DEF C 42 15 A F B 39 D 20 E

ANSWER!! Perimeter of Triangle ABC is 15 + 42 + 39 = 96 Formula Perimeter of ABC = Side of ABC Perimeter of DEF = Side of DEF 96 = 15 x 20 96(20) = 15 x 1920/15 = 15 x/15 128 = x Perimeter of Triangle DEF = 128 54