Linear Expressions, Equations, and Inequalities
Functions
Linear Functions and Arithmetic Sequences
Systems of Linear Equations and Inequalities
Exponents
100
Solve for x:
5x - 3 = -2x + 11
x = 2
100
What test is used to determine if an equation is a function?
Vertical Line Test
100
What is the slope of a line that passes through the points (-3,5) and (1,15)
m=5/2
100
Solve the following system using Substitution
x=6-4y
2x-3y=1
2(6-4y)-3y=1 x=6-4(1)
12-8y-3y=1 x=2
12-11y=1
11y=11
y=1
(2,1)
100
Simplify
(5x^9)/(10x^3)
x^5/2
200
Rewrite 3 less than 5 times a number using operations other than words.
5n - 3
200
Is the set of orders pairs a function? (2, 4) (3, 5) (-2, 4) (2, 5) (6, 1)
No
200
Carly walks 30 feet in seven seconds. At this rate, how many seconds will it take Carly to walk a mile if there are 5,280 feet in one mile?
7/30=x/5280
x=1232 sec
200
The system shown below has a solution when x=1.What must be the value of b in the second equation?
y=3x+5
y=-2x+b
y=3(1)+5
y=8
(1,8)
8=-2(1)+b
b=10
200
What fraction is equivalent to
2^-3
2^-3=1/2^3=1/8
300
What happens to an inequality sign when you divide by a negative number?
You flip the inequality sign
300
Given the function
f(x)=x/3+7
, evaluate f(6).
f(6) = 9
300
Write the equation with a slope of 2 going through the point (3,6).
y=2x+b
6=2(3)+b
6=6+b
b=0
y=2x
300
Solve the following system using substitution 4x+3y=0
y=-2x-2
(-3,4)
300
If
f(x)=10(2)^x
find f(x) when x=0
f(x)=10
400
-2x - 4 > 6
x < -5
400
Is the following graph a function? Why or why not?
Yes because it passes the vertical line test
400
The first two terms of an arithmetic sequence are 6 and 11, respectively. What is the 14th term of the sequence?
a_n=a_1+(n-1)d
a_n=6+(n-1)5
a_14=6+(14-1)5
a_14=71
400
Solve the following system using elimination x+5y=28
x+2y=13
(3,5)
400
Is
y=7(3/2)^x
growth or decay?
Growth
500
Solve the following: -3x + 2 > -x + 1
x<1/2
500
Is the following graph a function? Why or why not?
No because it doesn't pass the vertical line test.
500
Find the linear inequality of the graph below:
y>4x-2
500
Solve the following system using elimination.
3x-5y=-16
2x-3y=-8
Solve the system of linear inequalities.
x=-7
y=-1
500
Write an exponential equation that passes through the point (0,8) and (1,24).
y=8(3)^x