Two-Step Equations - Definition & Examples
Read this topicExplanations 3
- Two-step equations take two operations to solve Just like one-step equations took just one step to solve, two-step equations take, well, two steps! You'll use all the same opera…
By Zora Gilbert, Alex Federspiel, Jonathan Heller
- (Video) Inverse Operations to Isolate a Variable by eHowEducation This video by eHowEducation shows you how to solve equations that include multiple operations. Summary\large{\t…
By Zora Gilbert, Alex Federspiel, Eunji Kwon, Jonathan Heller, Anusha Rahman
- Use Opposite Operations to Get the Variable Alone on One Side Isolating a variable means getting it all alone on one side of the equation. To do this, you need to move everythin…
By Zora Gilbert, Alex Federspiel, Sarah Walker, Anusha Rahman
Problems 27
- Solve for xxx. 3x−1=53x-1=53x−1=5
- Solve for xxx. 7x−15=347x-15=347x−15=34
- Solve for xxx. −10x−8=−5-10x-8=-5−10x−8=−5
- Solve for xxx. −3x−8=10-3x-8=10−3x−8=10
- Solve for xxx. −4x−9=9-4x-9=9−4x−9=9
- Solve for xxx. −5x+1=−1-5x+1=-1−5x+1=−1
- Solve for xxx. −9x+5=5-9x+5=5−9x+5=5
- Suppose that we have a sequence which satisfies, for n≥1n \ge 1n≥1, an=3an−1−4a_n = 3a_{n-1} - 4an=3an−1−4. If a4=83a_4 = 83a4=83, what is a0a_0a0?
- Suppose that we have a sequence where an=11+an−1a_n = \frac{1}{1+a_{n-1}}an=1+an−11. If a3=2a_3 = 2a3=2, what is the value of a−1a_{-1}a−1, as a decimal?
- If f(t)=3t+5f(t)=3t+5f(t)=3t+5, find the value of ttt such that f(t)=0f(t)=0f(t)=0, as a decimal rounded to the nearest hundredth.
- If 2x+1=92x + 1 = 92x+1=9, find xxx.
- Solve 9(4x−1)−7x=4x+419(4x - 1) - 7x = 4x + 419(4x−1)−7x=4x+41.
- Solve the equation 15×11=5(x+5)15\times 11 = 5(x+5)15×11=5(x+5).
- ax=b\frac{a}{x}=bxa=b If aaa and bbb are nonzero, isolate xxx in the equation above.
- Find xxx in terms of mmm and nnn, if mmm and nnn are nonzero. m=nxm=\frac{n}{x}m=xn
- Find xxx: 4x=8\frac{4}{x}=8x4=8
- Find xxx. 6=2x6=\frac{2}{x}6=x2
- Find xxx in terms of aaa: xa=ax\frac{x}{a}=\frac{a}{x}ax=xa
- Find xxx. 4+1.2x=104+1.2x=104+1.2x=10
- Find the largest possible value of xxx such that x2−5=20.x^2-5=20.x2−5=20.
- To undo subtraction, use
- To undo addition, use
- To undo division, use...
- To undo multiplication, use
- Solve for xxx. 9x−5=49x-5=49x−5=4
- Solve for xxx. −5x+15=−10-5x+15=-10−5x+15=−10
- If ABCDABCDABCD is a rhombus with side lengths x+3,2x−4,5x−25,x + 3, 2x-4, 5x - 25,x+3,2x−4,5x−25, and 17−x,17 - x,17−x, what is the length of AB?AB?AB?