2.14.18 - aim 27.3 - solving inequality word problems on a
TRANSCRIPT
2.14.18 Aim 27.3 Solving Inequality Word Problems on a Graph part 2.notebook
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February 14, 2018
Aim 27.3: How do we solve system of inequality word problems by graphing?
Do Now: Shade the following inequality
Take out last night's homeworkHW 27.2
Copy down tonight's homeworkHW - Aim 27.3
y > 2x + 3
2.14.18 Aim 27.3 Solving Inequality Word Problems on a Graph part 2.notebook
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February 14, 2018
Directions: Shade the following inequality
3y < 2x 6
3( ) < 2( ) 6
Mini Lesson
2.14.18 Aim 27.3 Solving Inequality Word Problems on a Graph part 2.notebook
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February 14, 2018
Directions: Shade the following inequality
12x + 10y > 120
12( ) + 10( ) > 120
Mini Lesson
2.14.18 Aim 27.3 Solving Inequality Word Problems on a Graph part 2.notebook
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February 14, 2018
Directions: Shade the following system of inequalities
9x + 30y > 180
x + y < 10
9( ) + 30( ) > 180
( ) + ( ) < 10
Mini Lesson
2.14.18 Aim 27.3 Solving Inequality Word Problems on a Graph part 2.notebook
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February 14, 2018
Directions: Shade the following system of inequalities
20x + 10y > 200
x + y < 13
Check for Understanding
2.14.18 Aim 27.3 Solving Inequality Word Problems on a Graph part 2.notebook
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February 14, 2018
Steps to translate and graph a systems of inequalities
Step 1: define your x and y intercepts as specific as possible.
Step 2: translate the inequalities word for word
Step 3: solve for the x and the y intercept of each inequality by plugging in "opposite zeros"
Step 4: graph your lines using the intercepts from step 3
Step 5: shade each inequality by testing the point (0, 0)
true = shade toward false = shade away
Step 6: locate the solution set (S) by identifying the overlap of the shading and pick a point within that shaded area
2.14.18 Aim 27.3 Solving Inequality Word Problems on a Graph part 2.notebook
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February 14, 2018
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Step 1 & 2
1) Alex is buying tree and shrubs for his backyard. The trees costs $40 per tree and the shrubs cost $20 each. He wants to buy at least 12 plants and can spend no more than $400. Write and solve a system of inequalities that describes the situation.
a. What are the variables? b. Write a system of inequalities to represent the situation.
2.14.18 Aim 27.3 Solving Inequality Word Problems on a Graph part 2.notebook
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February 14, 2018
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Step 3
1) Alex is buying tree and shrubs for his backyard. The trees costs $40 per tree and the shrubs cost $20 each. He wants to buy at least 12 plants and can spend no more than $400. Write and solve a system of inequalities that describes the situation.
c. Find the x and y intercepts of each inequality.
x intercept x intercept
y intercept y intercept
40x + 20y < 400 x + y > 12
40x + 20( ) > 400 x + ( ) > 12
2.14.18 Aim 27.3 Solving Inequality Word Problems on a Graph part 2.notebook
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February 14, 2018
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Step 4, 5 & 6
1) Alex is buying tree and shrubs for his backyard. The trees costs $40 per tree and the shrubs cost $20 each. He wants to buy at least 12 plants and can spend no more than $400. Write and solve a system of inequalities that describes the situation.
d. Graph the inequalities using the x and y intercepts.
0 5 10 15 20
20
15
10
5
0
e. Shade each inequality by using the test point (0, 0)
f. Determine a solution. Explain in terms of the situation.
40x + 20y < 400
x < 10y < 20
x + y > 12
x > 12y > 12
40( ) + 20( ) < 400 ( ) + ( ) > 12
2.14.18 Aim 27.3 Solving Inequality Word Problems on a Graph part 2.notebook
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February 14, 2018
Directions: Shade the following system of inequalities
10x + 18y > 180
x + y < 12
Exit Slip
2.14.18 Aim 27.3 Solving Inequality Word Problems on a Graph part 2.notebook
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February 14, 2018
1) There are tennis ball and baseball on sale at a store. You have at least $200 to spend but need to buy at most 13 boxes. Each tennis ball box cost $20 and each baseball box cost $10. Write and solve a system of inequalities to find how many boxes you can buy.
a. What are the variables?
b. Write inequalities for the given situation
c. Graph the inequalities and shade the solution set.
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Hw 27.3
2.14.18 Aim 27.3 Solving Inequality Word Problems on a Graph part 2.notebook
12
February 14, 2018
1) There are tennis ball and baseball on sale at a store. You have at least $200 to spend but need to buy at most 13 boxes. Each tennis ball box cost $20 and each baseball box cost $10. Write and solve a system of inequalities to find how many boxes you can buy.
a. What are the variables?
b. Write inequalities for the given situation
c. Graph the inequalities and shade the solution set.
.
Hw 27.3