24 variables and evaluation
TRANSCRIPT
![Page 1: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/1.jpg)
Variables and Evaluation
![Page 2: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/2.jpg)
In mathematics we use symbols such as x, y and z to represent numbers.
Variables and Evaluation
![Page 3: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/3.jpg)
In mathematics we use symbols such as x, y and z to represent numbers. These symbols are called variables because their values change depending on the situation .
Variables and Evaluation
![Page 4: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/4.jpg)
In mathematics we use symbols such as x, y and z to represent numbers. These symbols are called variables because their values change depending on the situation . We use variables and mathematics operations to make expressions which are calculation procedures.
Variables and Evaluation
![Page 5: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/5.jpg)
In mathematics we use symbols such as x, y and z to represent numbers. These symbols are called variables because their values change depending on the situation . We use variables and mathematics operations to make expressions which are calculation procedures. For example, if an apple cost $2 and x represents the number of apples,
Variables and Evaluation
![Page 6: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/6.jpg)
In mathematics we use symbols such as x, y and z to represent numbers. These symbols are called variables because their values change depending on the situation . We use variables and mathematics operations to make expressions which are calculation procedures. For example, if an apple cost $2 and x represents the number of apples, then “2x” is the expression for the cost for x apples.
Variables and Evaluation
![Page 7: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/7.jpg)
In mathematics we use symbols such as x, y and z to represent numbers. These symbols are called variables because their values change depending on the situation . We use variables and mathematics operations to make expressions which are calculation procedures. For example, if an apple cost $2 and x represents the number of apples, then “2x” is the expression for the cost for x apples. Suppose we have 6 apples, set x = 6 in the expression 2x,
Variables and Evaluation
![Page 8: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/8.jpg)
In mathematics we use symbols such as x, y and z to represent numbers. These symbols are called variables because their values change depending on the situation . We use variables and mathematics operations to make expressions which are calculation procedures. For example, if an apple cost $2 and x represents the number of apples, then “2x” is the expression for the cost for x apples. Suppose we have 6 apples, set x = 6 in the expression 2x, we obtain 2(6) = 12 for the total cost.
Variables and Evaluation
![Page 9: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/9.jpg)
In mathematics we use symbols such as x, y and z to represent numbers. These symbols are called variables because their values change depending on the situation . We use variables and mathematics operations to make expressions which are calculation procedures. For example, if an apple cost $2 and x represents the number of apples, then “2x” is the expression for the cost for x apples. Suppose we have 6 apples, set x = 6 in the expression 2x, we obtain 2(6) = 12 for the total cost. The value “6” for x is called input (value).
Variables and Evaluation
![Page 10: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/10.jpg)
In mathematics we use symbols such as x, y and z to represent numbers. These symbols are called variables because their values change depending on the situation . We use variables and mathematics operations to make expressions which are calculation procedures. For example, if an apple cost $2 and x represents the number of apples, then “2x” is the expression for the cost for x apples. Suppose we have 6 apples, set x = 6 in the expression 2x, we obtain 2(6) = 12 for the total cost. The value “6” for x is called input (value). The answer 12 is called the output.
Variables and Evaluation
![Page 11: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/11.jpg)
In mathematics we use symbols such as x, y and z to represent numbers. These symbols are called variables because their values change depending on the situation . We use variables and mathematics operations to make expressions which are calculation procedures. For example, if an apple cost $2 and x represents the number of apples, then “2x” is the expression for the cost for x apples. Suppose we have 6 apples, set x = 6 in the expression 2x, we obtain 2(6) = 12 for the total cost. The value “6” for x is called input (value). The answer 12 is called the output. This process of replacing the variables with input value(s) and find the output is called evaluation.
Variables and Evaluation
![Page 12: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/12.jpg)
In mathematics we use symbols such as x, y and z to represent numbers. These symbols are called variables because their values change depending on the situation . We use variables and mathematics operations to make expressions which are calculation procedures. For example, if an apple cost $2 and x represents the number of apples, then “2x” is the expression for the cost for x apples. Suppose we have 6 apples, set x = 6 in the expression 2x, we obtain 2(6) = 12 for the total cost. The value “6” for x is called input (value). The answer 12 is called the output. This process of replacing the variables with input value(s) and find the output is called evaluation.
Variables and Evaluation
Each variable can represent one specific measurement only.
![Page 13: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/13.jpg)
In mathematics we use symbols such as x, y and z to represent numbers. These symbols are called variables because their values change depending on the situation . We use variables and mathematics operations to make expressions which are calculation procedures. For example, if an apple cost $2 and x represents the number of apples, then “2x” is the expression for the cost for x apples. Suppose we have 6 apples, set x = 6 in the expression 2x, we obtain 2(6) = 12 for the total cost. The value “6” for x is called input (value). The answer 12 is called the output. This process of replacing the variables with input value(s) and find the output is called evaluation.
Variables and Evaluation
Each variable can represent one specific measurement only. Suppose we need an expression for the total cost of apples and pears and x represents the number of apples,
![Page 14: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/14.jpg)
In mathematics we use symbols such as x, y and z to represent numbers. These symbols are called variables because their values change depending on the situation . We use variables and mathematics operations to make expressions which are calculation procedures. For example, if an apple cost $2 and x represents the number of apples, then “2x” is the expression for the cost for x apples. Suppose we have 6 apples, set x = 6 in the expression 2x, we obtain 2(6) = 12 for the total cost. The value “6” for x is called input (value). The answer 12 is called the output. This process of replacing the variables with input value(s) and find the output is called evaluation.
Variables and Evaluation
Each variable can represent one specific measurement only. Suppose we need an expression for the total cost of apples and pears and x represents the number of apples, we must use a different letter, say y, to represent the number of pears since they are two distinct measurements.
![Page 15: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/15.jpg)
Variables and EvaluationWhen evaluating an expression, replace the variables with the input-values enclosed with ( )’s.
![Page 16: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/16.jpg)
Example A. a. Evaluate –x if x = –6.
Variables and EvaluationWhen evaluating an expression, replace the variables with the input-values enclosed with ( )’s.
![Page 17: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/17.jpg)
Example A. a. Evaluate –x if x = –6. When evaluating, insert the input enclosed in a “( )”.
Variables and EvaluationWhen evaluating an expression, replace the variables with the input-values enclosed with ( )’s.
![Page 18: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/18.jpg)
Example A. a. Evaluate –x if x = –6. When evaluating, insert the input enclosed in a “( )”.
Therefore, set x = (–6) we’ve–x – (–6)
Variables and EvaluationWhen evaluating an expression, replace the variables with the input-values enclosed with ( )’s.
![Page 19: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/19.jpg)
Example A. a. Evaluate –x if x = –6. When evaluating, insert the input enclosed in a “( )”.
Therefore, set x = (–6) we’ve–x – (–6) = 6
Variables and EvaluationWhen evaluating an expression, replace the variables with the input-values enclosed with ( )’s.
![Page 20: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/20.jpg)
Example A. a. Evaluate –x if x = –6. When evaluating, insert the input enclosed in a “( )”.
Therefore, set x = (–6) we’ve–x – (–6) = 6
b. Evaluate –3x if x = –6.
Variables and EvaluationWhen evaluating an expression, replace the variables with the input-values enclosed with ( )’s.
![Page 21: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/21.jpg)
Example A. a. Evaluate –x if x = –6. When evaluating, insert the input enclosed in a “( )”.
Therefore, set x = (–6) we’ve–x – (–6) = 6
b. Evaluate –3x if x = –6.–3x –3(–6)
Variables and EvaluationWhen evaluating an expression, replace the variables with the input-values enclosed with ( )’s.
![Page 22: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/22.jpg)
Example A. a. Evaluate –x if x = –6. When evaluating, insert the input enclosed in a “( )”.
Therefore, set x = (–6) we’ve–x – (–6) = 6
b. Evaluate –3x if x = –6.–3x –3(–6) = 18
Variables and EvaluationWhen evaluating an expression, replace the variables with the input-values enclosed with ( )’s.
![Page 23: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/23.jpg)
Example A. a. Evaluate –x if x = –6. When evaluating, insert the input enclosed in a “( )”.
Therefore, set x = (–6) we’ve–x – (–6) = 6
b. Evaluate –3x if x = –6.–3x –3(–6) = 18
c. Evaluate –2x2 if x = 6.
Variables and EvaluationWhen evaluating an expression, replace the variables with the input-values enclosed with ( )’s.
![Page 24: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/24.jpg)
Example A. a. Evaluate –x if x = –6. When evaluating, insert the input enclosed in a “( )”.
Therefore, set x = (–6) we’ve–x – (–6) = 6
b. Evaluate –3x if x = –6.–3x –3(–6) = 18
c. Evaluate –2x2 if x = 6.
–2x2 –2(6)2
Variables and EvaluationWhen evaluating an expression, replace the variables with the input-values enclosed with ( )’s.
![Page 25: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/25.jpg)
Example A. a. Evaluate –x if x = –6. When evaluating, insert the input enclosed in a “( )”.
Therefore, set x = (–6) we’ve–x – (–6) = 6
b. Evaluate –3x if x = –6.–3x –3(–6) = 18
c. Evaluate –2x2 if x = 6.
–2x2 –2(6)2 = –2(36)
Variables and EvaluationWhen evaluating an expression, replace the variables with the input-values enclosed with ( )’s.
![Page 26: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/26.jpg)
Example A. a. Evaluate –x if x = –6. When evaluating, insert the input enclosed in a “( )”.
Therefore, set x = (–6) we’ve–x – (–6) = 6
b. Evaluate –3x if x = –6.–3x –3(–6) = 18
c. Evaluate –2x2 if x = 6.
–2x2 –2(6)2 = –2(36) = –72
Variables and EvaluationWhen evaluating an expression, replace the variables with the input-values enclosed with ( )’s.
![Page 27: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/27.jpg)
Example A. a. Evaluate –x if x = –6. When evaluating, insert the input enclosed in a “( )”.
Therefore, set x = (–6) we’ve–x – (–6) = 6
b. Evaluate –3x if x = –6.–3x –3(–6) = 18
c. Evaluate –2x2 if x = 6.
–2x2 –2(6)2 = –2(36) = –72
Variables and EvaluationWhen evaluating an expression, replace the variables with the input-values enclosed with ( )’s.
d. Evaluate –4xyz if x = –3, y = –2, z = –1.
![Page 28: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/28.jpg)
Example A. a. Evaluate –x if x = –6. When evaluating, insert the input enclosed in a “( )”.
Therefore, set x = (–6) we’ve–x – (–6) = 6
b. Evaluate –3x if x = –6.–3x –3(–6) = 18
c. Evaluate –2x2 if x = 6.
–2x2 –2(6)2 = –2(36) = –72
Variables and EvaluationWhen evaluating an expression, replace the variables with the input-values enclosed with ( )’s.
d. Evaluate –4xyz if x = –3, y = –2, z = –1.–4xyz
–4(–3)(–2)(–1)
![Page 29: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/29.jpg)
Example A. a. Evaluate –x if x = –6. When evaluating, insert the input enclosed in a “( )”.
Therefore, set x = (–6) we’ve–x – (–6) = 6
b. Evaluate –3x if x = –6.–3x –3(–6) = 18
c. Evaluate –2x2 if x = 6.
–2x2 –2(6)2 = –2(36) = –72
Variables and EvaluationWhen evaluating an expression, replace the variables with the input-values enclosed with ( )’s.
d. Evaluate –4xyz if x = –3, y = –2, z = –1.–4xyz
–4(–3)(–2)(–1) = 24
![Page 30: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/30.jpg)
Variables and Evaluatione. Evaluate x – y if x = –3, y = –5.
![Page 31: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/31.jpg)
Variables and Evaluatione. Evaluate x – y if x = –3, y = –5. x – y (–3) – (–5)
![Page 32: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/32.jpg)
Variables and Evaluatione. Evaluate x – y if x = –3, y = –5. x – y (–3) – (–5) = –3 + 5
![Page 33: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/33.jpg)
Variables and Evaluatione. Evaluate x – y if x = –3, y = –5. x – y (–3) – (–5) = –3 + 5 = 2
![Page 34: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/34.jpg)
f. Evaluate 3x2 – y2 if x = 2 and y = –3.
Variables and Evaluatione. Evaluate x – y if x = –3, y = –5. x – y (–3) – (–5) = –3 + 5 = 2
![Page 35: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/35.jpg)
f. Evaluate 3x2 – y2 if x = 2 and y = –3. Replace x by (2) and y by (–3) in the expression, we have 3*(2)2 – (–3)2
Variables and Evaluatione. Evaluate x – y if x = –3, y = –5. x – y (–3) – (–5) = –3 + 5 = 2
![Page 36: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/36.jpg)
f. Evaluate 3x2 – y2 if x = 2 and y = –3. Replace x by (2) and y by (–3) in the expression, we have 3*(2)2 – (–3)2 = 3*4 – 9 = 12 – 9
Variables and Evaluatione. Evaluate x – y if x = –3, y = –5. x – y (–3) – (–5) = –3 + 5 = 2
![Page 37: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/37.jpg)
f. Evaluate 3x2 – y2 if x = 2 and y = –3. Replace x by (2) and y by (–3) in the expression, we have 3*(2)2 – (–3)2 = 3*4 – 9 = 12 – 9 = 3
Variables and Evaluatione. Evaluate x – y if x = –3, y = –5. x – y (–3) – (–5) = –3 + 5 = 2
g. Evaluate –x2 + (–8 – y)2 if x = 3 and y = –2.
![Page 38: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/38.jpg)
f. Evaluate 3x2 – y2 if x = 2 and y = –3. Replace x by (2) and y by (–3) in the expression, we have 3*(2)2 – (–3)2 = 3*4 – 9 = 12 – 9 = 3
Variables and Evaluatione. Evaluate x – y if x = –3, y = –5. x – y (–3) – (–5) = –3 + 5 = 2
g. Evaluate –x2 + (–8 – y)2 if x = 3 and y = –2. Replace x by (3), y by (–2) in the expression, – (3)2 + (–8 – (– 2))2
![Page 39: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/39.jpg)
f. Evaluate 3x2 – y2 if x = 2 and y = –3. Replace x by (2) and y by (–3) in the expression, we have 3*(2)2 – (–3)2 = 3*4 – 9 = 12 – 9 = 3
Variables and Evaluatione. Evaluate x – y if x = –3, y = –5. x – y (–3) – (–5) = –3 + 5 = 2
g. Evaluate –x2 + (–8 – y)2 if x = 3 and y = –2. Replace x by (3), y by (–2) in the expression, – (3)2 + (–8 – (– 2))2 = – 9 + (–8 + 2)2
![Page 40: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/40.jpg)
f. Evaluate 3x2 – y2 if x = 2 and y = –3. Replace x by (2) and y by (–3) in the expression, we have 3*(2)2 – (–3)2 = 3*4 – 9 = 12 – 9 = 3
Variables and Evaluatione. Evaluate x – y if x = –3, y = –5. x – y (–3) – (–5) = –3 + 5 = 2
g. Evaluate –x2 + (–8 – y)2 if x = 3 and y = –2. Replace x by (3), y by (–2) in the expression, – (3)2 + (–8 – (– 2))2 = – 9 + (–8 + 2)2
= – 9 + (–6)2
![Page 41: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/41.jpg)
f. Evaluate 3x2 – y2 if x = 2 and y = –3. Replace x by (2) and y by (–3) in the expression, we have 3*(2)2 – (–3)2 = 3*4 – 9 = 12 – 9 = 3
Variables and Evaluatione. Evaluate x – y if x = –3, y = –5. x – y (–3) – (–5) = –3 + 5 = 2
g. Evaluate –x2 + (–8 – y)2 if x = 3 and y = –2. Replace x by (3), y by (–2) in the expression, – (3)2 + (–8 – (– 2))2 = – 9 + (–8 + 2)2
= – 9 + (–6)2 = – 9 + 36 = 27
![Page 42: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/42.jpg)
h. Evaluate (a – b)(b – c) if a = 3, b = –2, c = –4.Variables and Evaluation
![Page 43: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/43.jpg)
h. Evaluate (a – b)(b – c) if a = 3, b = –2, c = –4. (a – b)(b – c) ((3) – (–2))((–2) – (–4))
Variables and Evaluation
![Page 44: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/44.jpg)
h. Evaluate (a – b)(b – c) if a = 3, b = –2, c = –4. (a – b)(b – c) ((3) – (–2))((–2) – (–4)) = (3 + 2)(–2 + 4)
Variables and Evaluation
![Page 45: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/45.jpg)
h. Evaluate (a – b)(b – c) if a = 3, b = –2, c = –4. (a – b)(b – c) ((3) – (–2))((–2) – (–4)) = (3 + 2)(–2 + 4) = (5)(2)
Variables and Evaluation
![Page 46: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/46.jpg)
h. Evaluate (a – b)(b – c) if a = 3, b = –2, c = –4. (a – b)(b – c) ((3) – (–2))((–2) – (–4)) = (3 + 2)(–2 + 4) = (5)(2) = 10
Variables and Evaluation
![Page 47: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/47.jpg)
h. Evaluate (a – b)(b – c) if a = 3, b = –2, c = –4. (a – b)(b – c) ((3) – (–2))((–2) – (–4)) = (3 + 2)(–2 + 4) = (5)(2) = 10
Variables and Evaluation
i. Evaluate (2b – 3a)2 if a = –4, b = – 3.
![Page 48: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/48.jpg)
h. Evaluate (a – b)(b – c) if a = 3, b = –2, c = –4. (a – b)(b – c) ((3) – (–2))((–2) – (–4)) = (3 + 2)(–2 + 4) = (5)(2) = 10
Variables and Evaluation
i. Evaluate (2b – 3a)2 if a = –4, b = – 3. (2(–3) –3(–4))2
![Page 49: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/49.jpg)
h. Evaluate (a – b)(b – c) if a = 3, b = –2, c = –4. (a – b)(b – c) ((3) – (–2))((–2) – (–4)) = (3 + 2)(–2 + 4) = (5)(2) = 10
Variables and Evaluation
i. Evaluate (2b – 3a)2 if a = –4, b = – 3. (2(–3) –3(–4))2 = (–6 + 12)2
![Page 50: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/50.jpg)
h. Evaluate (a – b)(b – c) if a = 3, b = –2, c = –4. (a – b)(b – c) ((3) – (–2))((–2) – (–4)) = (3 + 2)(–2 + 4) = (5)(2) = 10
Variables and Evaluation
i. Evaluate (2b – 3a)2 if a = –4, b = – 3. (2(–3) –3(–4))2 = (–6 + 12)2 = (6)2 = 36
![Page 51: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/51.jpg)
h. Evaluate (a – b)(b – c) if a = 3, b = –2, c = –4. (a – b)(b – c) ((3) – (–2))((–2) – (–4)) = (3 + 2)(–2 + 4) = (5)(2) = 10
Variables and Evaluation
j. Evaluate b2 – 4ac if a = –2, b = –3, and c = 5.
i. Evaluate (2b – 3a)2 if a = –4, b = – 3. (2(–3) –3(–4))2 = (–6 + 12)2 = (6)2 = 36
![Page 52: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/52.jpg)
h. Evaluate (a – b)(b – c) if a = 3, b = –2, c = –4. (a – b)(b – c) ((3) – (–2))((–2) – (–4)) = (3 + 2)(–2 + 4) = (5)(2) = 10
Variables and Evaluation
j. Evaluate b2 – 4ac if a = –2, b = –3, and c = 5. (–3)2 – 4(–2)(5)
i. Evaluate (2b – 3a)2 if a = –4, b = – 3. (2(–3) –3(–4))2 = (–6 + 12)2 = (6)2 = 36
![Page 53: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/53.jpg)
h. Evaluate (a – b)(b – c) if a = 3, b = –2, c = –4. (a – b)(b – c) ((3) – (–2))((–2) – (–4)) = (3 + 2)(–2 + 4) = (5)(2) = 10
Variables and Evaluation
j. Evaluate b2 – 4ac if a = –2, b = –3, and c = 5. (–3)2 – 4(–2)(5) = 9 + 40 = 49
i. Evaluate (2b – 3a)2 if a = –4, b = – 3. (2(–3) –3(–4))2 = (–6 + 12)2 = (6)2 = 36
![Page 54: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/54.jpg)
Exercise. Evaluate.A. –2x with the input
Variables and Evaluation
1. x = 3 2. x = –3 3. x = –5 4. x = –1/2B. –y – 2x with the input5. x = 3, y = 2 6. x = –2, y = 37. x = –1, y = –4 8. x = ½, y = –6C. (–x)2 with the input9. x = 3 10. x = –3 11. x = –5 12. x = –1/2D. –x2 with the input13. x = –2 14. x = –3 15. x = –9 16. x = –1/3
E. –2x3 with the input17. x = 3 18. x = –2 19. x = –1 20. x = –½
F. 3x2 – 2x – 1 with the input21. x = – 4 22. x = –2 23. x = –1 24. x = ½
![Page 55: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/55.jpg)
Variables and EvaluationG. –2y2 + 3x2 with the input25. x = 3, y = 2 26. x = –2, y = – 327. x = –1, y = –4 28. x = –1, y = –1/2
J. b2 – 4ac with the input37. a = –2, b = 3, c = –5 38. a = 4, b = –2, c = – 2 39. a = –1, b = – 2, c = –3 40. a = 5, b = –4, c = 4
H. x3 – 2x2 + 2x – 1 with the input29. x = 1 30. x = –1 31. x = 2 32. x = ½
33. a = –1, b = – 2 34. a = 2, b = –4
–b2a
I. with the input
35. a = –2, b = – 8 36. a = 2, b = – 12
![Page 56: 24 variables and evaluation](https://reader034.vdocuments.us/reader034/viewer/2022042908/58f136bc1a28ab6f288b45d9/html5/thumbnails/56.jpg)
Variables and Evaluation a – b c – d
K. with the input
43. a = –2, b = 3, c = –5, d = 0 44. a = –1, b = –2, c = –2, d = 14
41. a = 1, b = –2, c = 2, d = – 2 42. a = –4, b = –2, c = –1, d = –4
(a – b)(b – c) (c – d)(d – a)
L. with the input
47. a = –2, b = 3, c = –5, d = 0 48. a = –1, b = –2, c = –2, d = 14
45. a = 1, b = –2, c = 2, d = 2 46. a = –4, b = –2, c = –1, d = –4
M. b2 – a2 – c2 if 49. a = –2, b = 3, c = –5 .50. a = 4, b = –2, c = – 2
N. b2 – 4ac if 51. a = –2, b = 3, c = –5 .52. a = 4, b = –2, c = – 2