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Core Connections Algebra 1, 2013
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Core Connections Algebra 1, 2013 View details
3. Section 2.3
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Exercise 92 Page 83

Practice makes perfect
a To evaluate the expression, we have to substitute x= - 2, y= - 3, and z= 5 into the expression and follow the order of operations to simplify.
2x+3y+z
SubstituteValues

Substitute values

2( - 2)+3( - 3)+ 5
MultPosNeg

a(- b)=- a * b

- 4-9+5
AddSubTerms

Add and subtract terms

- 8
b Like in Part A, we have to substitute x= - 2 and y= - 3 into the expression and follow the order of operations to simplify.
x-y
SubstituteII

x= - 2, y= - 3

- 2-( - 3)
SubNeg

a-(- b)=a+b

- 2+3
AddTerms

Add terms

1
c Like in Parts A and B, we have to substitute x= - 2, y= - 3 and z= 5 into the expression and follow the order of operations to simplify.
2(x+y/z)
SubstituteValues

Substitute values

2(- 2+( - 3)/5)
AddNeg

a+(- b)=a-b

2(- 2-3/5)
SubTerm

Subtract term

2(- 5/5)
MoveNegNumToFrac

Put minus sign in front of fraction

2(- 5/5)
QuotOne

a/a=1

2(- 1)
MultPosNeg

a(- b)=- a * b

- 2
d Like in previous parts, we have to substitute x= - 2 into the expression and follow the order of operations to simplify.
3x^2-2x+1
Substitute

x= - 2

3( - 2)^2-2( - 2)+1
NegBaseToPosBase

(- a)^2=a^2

3(4)-2(- 2)+1
MultNegNegOnePar

- a(- b)=a* b

3(4)+2(2)+1
Multiply

Multiply

12+4+1
AddTerms

Add terms

17
e Like in previous parts, we have to substitute x= - 2, and y= - 3 into the expression and follow the order of operations to simplify.
3y(x+x^2-y)
SubstituteII

x= - 2, y= - 3

3( - 3)( - 2+( - 2)^2-( - 3))
NegBaseToPosBase

(- a)^2=a^2

3(- 3)(- 2+4-(- 3))
SubNeg

a-(- b)=a+b

3(- 3)(- 2+4+3)
AddTerms

Add terms

3(- 3)(5)
MultPosNeg

a(- b)=- a * b

- 3(3)(5)
Multiply

Multiply

- 45
f Like in previous parts, we have to substitute x= - 2, y= - 3, and z= 5 into the expression and follow the order of operations to simplify.
- z^2(1-2x)/y-x
SubstituteValues

Substitute values

- 5^2(1-2( - 2))/- 3-( - 2)
MultPosNeg

a(- b)=- a * b

- 5^2(1+4)/- 3-(- 2)
SubNeg

a-(- b)=a+b

- 5^2(1+4)/- 3+2
AddTerms

Add terms

- 5^2(5)/- 1
CalcPow

Calculate power

- 25(5)/- 1
Multiply

Multiply

- 125/- 1
DivNegNeg

- a/- b=a/b

125/1
DivByOne

a/1=a

125
Subchapter links expand_more
arrow_right 2.3.1 Finding an Equation Given the Slope and a Point p.80
82
83
84
Finding an Equation Given the Slope and a Point 85 (Page 80)
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arrow_right 2.3.2 Finding the Equation of a Line Through Two Points p.82-83
Finding the Equation of a Line Through Two Points 90 (Page 82)
91
Finding the Equation of a Line Through Two Points 92 (Page 83)
93
94
arrow_right Extension Activity Finding y=mx+b from Graphs and Tables p.85
96
97
98
99
100