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Core Connections Integrated II, 2015
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Core Connections Integrated II, 2015 View details
2. Section 3.2
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Exercise 116 Page 196

Practice makes perfect
a To find y for a specific x-value we substitute the value into the expression instead of x, then simplify using the order of operations.
y=-1/3x-5
Substitute

x= -3

y=-1/3*( -3)-5
MoveRightFacToNum

a/c* b = a* b/c

y=--3/3-5
RemoveNegFracAndNum

- - a/b= a/b

y=3/3-5
SimpQuot

Simplify quotient

y=1-5
SubTerms

Subtract terms

y=-4
b Once again we substitute x=-3 into the equation and the we simplify using the order of operations.
y=2x^2-3x-2
Substitute

x= -3

y=2*( -3)^2-3*( -3)-2
CalcPow

Calculate power

y=2*9-3*( -3)-2
Multiply

Multiply

y=18+9-2
AddSubTerms

Add and subtract terms

y=25
c As y is not isolated we start by using inverse operations to isolate y.
2x-5y=4
SubEqn

LHS-2x=RHS-2x

-5y=4-2x
DivEqn

.LHS /-5.=.RHS /-5.

y=4-2x/-5
Now that y is isolated, we can substitute x=-3 into the equation. We can then use the order of operations to simplify.
y=4-2x/-5
Substitute

x= -3

y=4-2*( -3)/-5
Multiply

Multiply

y=4+6/-5
AddTerms

Add terms

y=10/-5
SimpQuot

Simplify quotient

y=-2
Subchapter links expand_more
arrow_right 3.2.1 Constant Ratios in Right Triangles p.178-180
72
Constant Ratios in Right Triangles 73 (Page 179)
Constant Ratios in Right Triangles 74 (Page 179)
Constant Ratios in Right Triangles 75 (Page 179)
Constant Ratios in Right Triangles 76 (Page 179)
Constant Ratios in Right Triangles 77 (Page 180)
arrow_right 3.2.2 Connecting Slope Ratios to Specific Angles p.183-184
Connecting Slope Ratios to Specific Angles 83 (Page 183)
Connecting Slope Ratios to Specific Angles 84 (Page 184)
Connecting Slope Ratios to Specific Angles 85 (Page 184)
Connecting Slope Ratios to Specific Angles 86 (Page 184)
Connecting Slope Ratios to Specific Angles 87 (Page 184)
Connecting Slope Ratios to Specific Angles 88 (Page 184)
arrow_right 3.2.3 Expanding the Trig Table p.187-188
Expanding the Trig Table 93 (Page 187)
Expanding the Trig Table 94 (Page 187)
Expanding the Trig Table 95 (Page 187)
Expanding the Trig Table 96 (Page 188)
Expanding the Trig Table 97 (Page 188)
Expanding the Trig Table 98 (Page 188)
arrow_right 3.2.4 Expanding the Trig Table p.192-193
Expanding the Trig Table 105 (Page 192)
Expanding the Trig Table 106 (Page 192)
Expanding the Trig Table 107 (Page 192)
Expanding the Trig Table 108 (Page 192)
Expanding the Trig Table 109 (Page 193)
Expanding the Trig Table 110 (Page 193)
arrow_right 3.2.5 Applying the Tangent Ratio p.195-196
Applying the Tangent Ratio 113 (Page 195)
Applying the Tangent Ratio 114 (Page 196)
Applying the Tangent Ratio 115 (Page 196)
Applying the Tangent Ratio 116 (Page 196)
Applying the Tangent Ratio 117 (Page 196)
Applying the Tangent Ratio 118 (Page 196)