Chapter 1
Solve y-3x=13
y-3x=13 add -3x to both sides
= y=3x+13
Write the sentence as an inequality:
A number x is greater than 3
"Is greater than"= >
x>3
Evaluate the function when X=-2, 0, and 5
F(x)=x+6
Plug -2 in for X F(-2)=-2+6= 4
Plug 0 in for X F(0)=0+6=6
Plug 5 in for X F(5)=5+6=11
Answer= 4,6,11
Write an equation of the line with the given slope and y-intercept
Slope=2
Y-int.=9
y=2x+9
x+2y=13
-x+y=5
x=1
y=6
Answer= (1,6)
Solve 2y-18x=-26
2y-18x=-26
Add 18x to both sides
= 2y=18x-26
divide 2 from both sides
= y=9x-13
Write the sentence as an inequality:
Fifteen is less than a number divided by 5
"Is less than"= <
15<t/5
Evaluate the function when x=-2,0, and 5
G(x)=3(x)
Plug in -2 for x G(-2)=3(-2)=-6
Plug in 0 for x G(0)=3(0)=0
Plug in 5 for x G(5)=3(5)=15
Answer=-6,0,15
Write an equation of the line with the given slope and y-intercept
Slope=0
Y-int.=5
y=x+5
Solve the systems of linear equations by elimination
9x+y=2
-4x-y=-17
x=-5
y=47
Answer= (-5,47)
Solve 9x-y=45
9x-y=45
Subtract 9x from both sides
-y=-9x+45
Divide -1 from both sides
y=9x-45
Write the sentence as an inequality
One-half of a number y is more than 22
"is more than"= >
1/2y>22
Evaluate the function when x=-2,0, and 5
H(x)=-2(x)+9
Plug in -2 for X H(-2)=-2(-2)+9=H(-2)=4+9=15
Plug in 0 for X H(0)=-2(0)+9=H(0)=0+9=9
Plug in 5 for x H(5)=-2(5)+9=H(5)=-10+9=-1
Answer= 15,9,-1
Write an equation of the line with the given slope and y-intercept
Slope=-3Y
y-int.=0
y=-3x
Solve the systems of linear equations by elimination
5x+6y=50
x-6y=-26
x=4
y=5
Answer= (4,5)
Solve 6x-3y=-6
6x-3y=-6
Subtract 6x from both sides
-3y=-6x-6
Divide -3 from both sides
y=2x+2
Write the sentence as an inequality
Three is less than the sum of a number S and 4
"Is less than"= <
3<S+4
Evaluate the function when x=-2,0 and 5
R(x)=-x-7
Plug -2 in for x R(-2)=-(-2)-7=-5
Plug in 0 for x R(0)=-(0)-7=-7
Plug in 5 for x R(5)=-(5)-7=-12
Answer= -5,-7,-12
Write an equation of the line with the given slope and y-intercept
Slope=-7
y-int.=1
y=-7x+1
Solve the systems of linear equations by elimination
-x+y=4
x+3y=4
x=-2
y=2
Answer= (-2,2)
Solve 16x+9=9y-2x
16x+9=9y-2x
Add 2x to both sides
18x+9=9y
Divide by 9 from both sides
9x+1=y or y=9x+1
Write the sentence as an inequality
Thirteen is greater than the difference of a number V and 1
"Is greater than"= >
13>V-1
Evaluate the function when x=-2,0, and 5
P(x)=-3+4(x)
Plug in -2 in for x P(-2)=-3+4(-2)=11
Plug in 0 in for x P(0)=-3+4(0)=-3
Plug in 5 in for x P(5)=-3+4(5)=17
Answer=11,-3,17
Write an equation of the line with the given slope and y-intercept
Slope=2/3
Y-int.=-8
y=2/3x-8
Solve the systems of linear equations by elimination
-3x-5y=-7
-4x+5y=14
x=-1
y=2
Answer= (-1,2)