Evaluate each expression when x = −2. 1.4x + 10 2.−3 + 11x 3. 4.8(x + 5) Warm-Up 10.1.15 2 −25...
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Transcript of Evaluate each expression when x = −2. 1.4x + 10 2.−3 + 11x 3. 4.8(x + 5) Warm-Up 10.1.15 2 −25...
![Page 1: Evaluate each expression when x = −2. 1.4x + 10 2.−3 + 11x 3. 4.8(x + 5) Warm-Up 10.1.15 2 −25 −1 24.](https://reader036.fdocuments.in/reader036/viewer/2022082501/5a4d1b117f8b9ab05998f648/html5/thumbnails/1.jpg)
Evaluate each expression when x = −2.
1. 4x + 10
2. −3 + 11x
3.
4. 8(x + 5)
x21
Warm-Up 10.1.15
2
−25
−1
24
![Page 2: Evaluate each expression when x = −2. 1.4x + 10 2.−3 + 11x 3. 4.8(x + 5) Warm-Up 10.1.15 2 −25 −1 24.](https://reader036.fdocuments.in/reader036/viewer/2022082501/5a4d1b117f8b9ab05998f648/html5/thumbnails/2.jpg)
Good to Know!The Commutative Property of Addition states that numbers can be added in any order. This can be applied in a linear equation.
In Lesson 2.5, linear equations were shown in the form:
y = b ± mx
Based on the Commutative Property, this equation can also be written as:
y = mx ± b
For example, y = 7 + 2x y = 2x + 7y = 4 – 3x y = –3x + 4
Notice that the “ – ” belongs to the rate of change and
must move with it.
![Page 3: Evaluate each expression when x = −2. 1.4x + 10 2.−3 + 11x 3. 4.8(x + 5) Warm-Up 10.1.15 2 −25 −1 24.](https://reader036.fdocuments.in/reader036/viewer/2022082501/5a4d1b117f8b9ab05998f648/html5/thumbnails/3.jpg)
Explore! Linear Qualities
Use the linear equations given in the box to complete this activity.
Step 1 List the equation(s) that have a negative rate of change.
Step 2 List the equations(s) that have a positive y-intercept.
Step 3 Which equation has a start value of zero? How do you know?
![Page 4: Evaluate each expression when x = −2. 1.4x + 10 2.−3 + 11x 3. 4.8(x + 5) Warm-Up 10.1.15 2 −25 −1 24.](https://reader036.fdocuments.in/reader036/viewer/2022082501/5a4d1b117f8b9ab05998f648/html5/thumbnails/4.jpg)
Explore! Multi-Step Equation
Step 4 Which equation has a rate of change equal to zero? How do you know?
Step 5 Create your own linear equation that fits the given description.
a. A positive start value and negativerate of change.
b. A rate of change equal to zero.
c. A start value equal to zero.
d. A negative rate of change and a negative y-intercept.
![Page 5: Evaluate each expression when x = −2. 1.4x + 10 2.−3 + 11x 3. 4.8(x + 5) Warm-Up 10.1.15 2 −25 −1 24.](https://reader036.fdocuments.in/reader036/viewer/2022082501/5a4d1b117f8b9ab05998f648/html5/thumbnails/5.jpg)
Use the linear equation to complete the input-output table:
y = 3x + 8
Substitute each x-value intothe equation to determine the y-values.
Example 1
![Page 6: Evaluate each expression when x = −2. 1.4x + 10 2.−3 + 11x 3. 4.8(x + 5) Warm-Up 10.1.15 2 −25 −1 24.](https://reader036.fdocuments.in/reader036/viewer/2022082501/5a4d1b117f8b9ab05998f648/html5/thumbnails/6.jpg)
Good to Know!Any input-output table can be turned into ordered pairs and graphed. When dealing with linear equations, graphing is a great way to double-check the calculations as all points should be in a straight line.
The graph below shows the ordered pairs from the table used in Example 3.
![Page 7: Evaluate each expression when x = −2. 1.4x + 10 2.−3 + 11x 3. 4.8(x + 5) Warm-Up 10.1.15 2 −25 −1 24.](https://reader036.fdocuments.in/reader036/viewer/2022082501/5a4d1b117f8b9ab05998f648/html5/thumbnails/7.jpg)
Complete the following table for the linear equation y = −2x + 1.
x y−3029
Exit Problem
−17−3
1
7