Solving Equations
What is the value of x in the equation 2x+4=12?
x = 4
What type of solution does the equation 2x+5=2x+4 have?
No solution
Solve for w in the equation A=lw.
w = A/l
What is the solution to the inequality 2x−5≥3?
x ≥ 4
on number line: closed circle at 4, point to the right
What is the excluded value of 4/(x-2)=6?
2
Solve for x: 5x−3=2x+9
x = 4
Determine if the equation 2x + 4= x + 1 + x + 3 has no solution, one solution, or infinitely many solutions.
infinite
How do you isolate t in the equation d=rt?
Divide by r on both sides to get t = d/r.
2w−1<1
w < 1
number line: open circle at 1, point left
What are the excluded values of 5/(9+2x)=3/x
-4.5 and 0
If 3(x−4)=12, what is x?
x = 8
What type of solution does 3(x - 1) = 2x - 5 + x + 2 have?
infinite
Solve the equation C=2πr for r.
r = C/2π
2y + 1 ≤ 7
y ≤ 3, closed circle at 3, point to the left
Solve and state excluded values of
4/x=3/2
8/3 and x cannot be 0
Solve the equation 2(x+5)=2(2x+20)
x = -15
4x + 2 - x + 1 = 2(2x + 1) - x + 5
no solution
A=(1/2)h(x+y) solve for y
(2A)/h-x
12 < -x + 5
x < -7, open circle on -7, point left
Solve and state the excluded values of
84/(5x-2)+8=11
x=6 and x cannot be 2/5(.4)
-4n - 5 + n = 7(7 - 7n) + 6(1 + 6n)
n = 6
Describe the process for deciding if an equation is no solution or infinite solutions in Desmos, and describe what equation would look like graphically.
Split the equation up by the equals sign and put each into a blank on Desmos. Two lines on top of each other is no solution, two parallel lines that never cross is infinite solutions.
If P=2l+2w, how do you solve for w?
subtract 2l on both sides, then divide by 2 to get (P - 2l)/2.
(x−3)/2 < −5
x < -7, open circle on -7, point to the left
Solve and state the excluded values of
1/(7-p)=5/(p-7)
No solution(or extraneous) :(