Multi-step equations
Solve: 4x+7=2x+19
x = 6
Solve: 4(x+3)=2x+18
x =3
What is the inverse of adding?
Subtracting
Solve: 2 < 3x−4 ≤ 8
2 < x ≤ 4
solve: 4x−5 > 7
x > 3
solve: 5(x−3)+12=3(x+7)−4
x = 10
solve: 3(2x+5)=4x+25
x = 5
What symbol is used to show that one number is greater than another in an inequality?
greater than
>
solve: −5 ≤ 2x+1 < 9
−3 ≤ x < 4
solve: 2x+3 ≤ 5x−6
x ≥ 3
solve: 2(x+5)+3(x−4)=4(x+7)−9
x = 21
solve: 5x−(2x+7)=10+x
In the equation 2x+3=72x + 3 = 72x+3=7, what is the term that does not contain the variable called?
Constant
solve: 3x−7 > 2 and 3x−7 ≤ 14
3 < x ≤ 7
solve: 3(2x−4) < 4x+10
x < 11
What are the types of solutions a multi-step equation can have?
1, no solution, or infinite solutions
3(x+4)−2=2(x+7)
x = 4
True or False: An inequality can have more than one solution.
True
solve: −2 ≤ 2x−5 < 10
1.5 ≤ x < 7.5
Solve: 3(2x−5)+4x−7 ≥ 2(5x−6)+3
No Soultion
Solve: 3(x−2)+4(x+5)−2(2x−7)=5(x+1)+3(x−4)
x = 7
solve: 3/4x+5=2/4x+11
x = 24
What is the name of the process used to “undo” operations in order to isolate a variable in an equation?
inverse operations
Solve: 5−2x ≤ 9 or 3x+1 > 10
x ≥ −2 or x > 3
solve: 3(2x−5)−4 < 2x+9
x < 7