3 -25 odd numbers only and work shown please and thank you 2 rent tables toand large tabhere x is thheExercisesDynamic Solutions available at BigldeasMath.com3.4Vocabulary and Core Concept Check2. WHICH ONE DOESN'T BELONG? Which point does not belong with the other three?Explain your reasoning.1. WRITING How are x-intercepts and y-intercepts alike? How are they different?e situation. yCour solutions(4, 0)raph to inter(4, -3)(0, -3)(0, 0)24. MODELING WITH MATHEMATICS You are orderingshirts for the math club at your school. Short-sleevedshirts cost $10 each. Long-sleeved shirts cost$12 each. You have a budget of $300 for the shirts.The equation 10x + 12y = 300 models the total cost,where x is the number of short-sleeved shirts andy is the number of long-sleeved shirts.ive, so onlyMonitoring Progress and Modeling with MathematicsIn Exercises 3-6, graph the linear equation.(See Example 1.)4. y = 23. x = 46.x = -15. y = -3In Exercises 7-12, find the x- and y-intercepts of thegraph of the linear equation.a. Graph the equation. Interpret the intercepts.b. Twelve students decide they want short-sleevedshirts. How many long-sleeved shirts can7. 2x + 3y = 128. 3x + 6y = 24you.order?ERROR ANALYSIS In Exercises 25 and 26, describe andcorrect the error in finding the intercepts of the graphof the equation.9. -4x + 8y = -1610. -6x + 9y = -1811. Зх - бу — 212. -x + 8y = 4In Exercises 13–22, use intercepts to graph the linearequation. Label the points corresponding to theintercepts. (See Example 2.)O notge tah25.3x+ 12y= 243x+ 12y= 243(0) + 12y = 2414. 4x + 6y = 123x + 12(0) = 2413. 5x + 3y = 30-ble15. -12x + 3y = 243x = 2412y= 2416. -2x + 6y = 18y = 212x= 817. -4x + 3y = -3018. -2x + 7y = -21The intercept is at (8, 2).19. -x + 2y = 720. 3x - y = -526.4x + 10y= 2O4x + 10y= 2O21. -x + y = 1022. -x+ y = -44x + 10(0) = 204(0) + 10y= 2023. MODELING WITH MATHEMATICS A football teamhas an away game, and the bus breaks down. Thecoaches decide to drive the players to the game incars and vans. Four players can ride in each car. Sixplayers can ride in each van. There are 48 playerson the team. The equation 4x + 6y = 48 models thissituation, where x is the number of cars and y is the4x = 2010y = 20x= 5y= 2The x-intercept is at (0,5), andthe y-intercept is at (2,0).number of vans. (See Example 3.)a. Graph the equation. Interpret the intercepts.b. Find four possible solutions in the context ofthe problem.13Section 3.4Graphing Linear Equations in Standard Form

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Description: 3 -25 odd numbers only and work shown please and thank you 2 rent tables toand large tabhere x is thheExercisesDynamic Solutions available at BigldeasMath.com3.4Vocabulary and Core Concept Check2. WHICH ONE DOESN'T BELONG? Which point does not belong

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Math

Algebra

In Exercises 3-6, graph the linear equation. (See Example 1.) 3. r= 4 4. y = 2 5. y= -3 6. x= - 1 In Exercises 7–12, find thex- and y-intercepts of the graph of the linear equation. 7. 2r + 3y =12 8. 3x + 6y = 24 %3D %3D

In Exercises 3-6, graph the linear equation. (See Example 1.) 3. r= 4 4. y = 2 5. y= -3 6. x= - 1 In Exercises 7–12, find thex- and y-intercepts of the graph of the linear equation. 7. 2r + 3y =12 8. 3x + 6y = 24 %3D %3D

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.

Topic Video

Question

3 -25 odd numbers only and work shown please and thank you

2 rent tables to
and large tab
here x is thhe
Exercises
Dynamic Solutions available at BigldeasMath.com
3.4
Vocabulary and Core Concept Check
2. WHICH ONE DOESN'T BELONG? Which point does not belong with the other three?
Explain your reasoning.
1. WRITING How are x-intercepts and y-intercepts alike? How are they different?
e situation. y
Cour solutions
(4, 0)
raph to inter
(4, -3)
(0, -3)
(0, 0)
24. MODELING WITH MATHEMATICS You are ordering
shirts for the math club at your school. Short-sleeved
shirts cost $10 each. Long-sleeved shirts cost
$12 each. You have a budget of $300 for the shirts.
The equation 10x + 12y = 300 models the total cost,
where x is the number of short-sleeved shirts and
y is the number of long-sleeved shirts.
ive, so only
Monitoring Progress and Modeling with Mathematics
In Exercises 3-6, graph the linear equation.
(See Example 1.)
4. y = 2
3. x = 4
6.
x = -1
5. y = -3
In Exercises 7-12, find the x- and y-intercepts of the
graph of the linear equation.
a. Graph the equation. Interpret the intercepts.
b. Twelve students decide they want short-sleeved
shirts. How many long-sleeved shirts can
7. 2x + 3y = 12
8. 3x + 6y = 24
you.order?
ERROR ANALYSIS In Exercises 25 and 26, describe and
correct the error in finding the intercepts of the graph
of the equation.
9. -4x + 8y = -16
10. -6x + 9y = -18
11. Зх - бу — 2
12. -x + 8y = 4
In Exercises 13–22, use intercepts to graph the linear
equation. Label the points corresponding to the
intercepts. (See Example 2.)
O not
ge tah
25.
3x+ 12y= 24
3x+ 12y= 24
3(0) + 12y = 24
14. 4x + 6y = 12
3x + 12(0) = 24
13. 5x + 3y = 30
-ble
15. -12x + 3y = 24
3x = 24
12y= 24
16. -2x + 6y = 18
y = 2
12
x= 8
17. -4x + 3y = -30
18. -2x + 7y = -21
The intercept is at (8, 2).
19. -x + 2y = 7
20. 3x - y = -5
26.
4x + 10y= 2O
4x + 10y= 2O
21. -x + y = 10
22. -x+ y = -4
4x + 10(0) = 20
4(0) + 10y= 20
23. MODELING WITH MATHEMATICS A football team
has an away game, and the bus breaks down. The
coaches decide to drive the players to the game in
cars and vans. Four players can ride in each car. Six
players can ride in each van. There are 48 players
on the team. The equation 4x + 6y = 48 models this
situation, where x is the number of cars and y is the
4x = 20
10y = 20
x= 5
y= 2
The x-intercept is at (0,5), and
the y-intercept is at (2,0).
number of vans. (See Example 3.)
a. Graph the equation. Interpret the intercepts.
b. Find four possible solutions in the context of
the problem.
13
Section 3.4
Graphing Linear Equations in Standard Form

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