Download x + 1

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

Document related concepts

Debye–Hückel equation wikipedia, lookup

Maxwell's equations wikipedia, lookup

Equations of motion wikipedia, lookup

Partial differential equation wikipedia, lookup

Schrödinger equation wikipedia, lookup

Equation of state wikipedia, lookup

Exact solutions in general relativity wikipedia, lookup

Differential equation wikipedia, lookup

Schwarzschild geodesics wikipedia, lookup

Perturbation theory wikipedia, lookup

Itô diffusion wikipedia, lookup

Calculus of variations wikipedia, lookup

Derivation of the Navier–Stokes equations wikipedia, lookup

Euler equations (fluid dynamics) wikipedia, lookup

Unification (computer science) wikipedia, lookup

BKL singularity wikipedia, lookup

Kerr metric wikipedia, lookup

Two-body problem in general relativity wikipedia, lookup

Navier–Stokes equations wikipedia, lookup

Transcript
Name_______________________________
Algebra 1
Unit 6 Review
1. Is (-2, 3) a solution to the following system?
y = -x + 1
y = ½x + 4
2. Is (4, -1) a solution to the following system?
3x + y > 8
x – 2y < 4
For problems 3 - 6 state determine how many solutions the system has.
3. y = 3x + 1
y = 3x + 1
4. y = ⅓x + 6
y = ⅓x – 2
5. y = ½x – 4
y = ¼x + 9
6. 10x – 4y = 12
5x – 2y = 6
7. 3x – 7y = 10
-9x + 21y = 15
8. Multiple choice: At what point do the lines defined by the equations x + y = 15 and
x – y = -1 intersect?
 12 1 
A (10, 5)
B  , 
C (-1, 15)
D (7, 8)
 5 5
In 9 – 10, solve the systems of equations by graphing.
9. y = x + 1
2
y= x+4
5
10. y = -2x - 6
y
3
x5
4
In 11 - 13, solve the systems of equations by the substitution method.
11. x = y – 3
4x + 2y = 48
12. 3x – 4y = -11
y = 2x - 1
13. y = 4x – 13
y = -x – 3
In 14 - 16, solve the systems of equations by the addition/elimination method.
14. 2x + 4y = -14
3x – 4y = 9
15.
3x – 2y = 6
6x + 5y = 12
16.
4x + 3y = 23
7x – 2y = 4
17. Graph: 2x – 4y < 12
Graph the solution set to the following sets of inequalities.
18. x > 2
19.
2
y<
x–4
3
y > –2x
y < ⅓x – 2
Chapter 2, 3, and 5 Review
Solve the following equations.
20.
2
x + 2 = 20
3
21. 2(3x + 4) – 3 = -13
22.
5
2

x4 x6
23.
x 3 2
 
3 5 3
24.
3x x
 5
4 2
25.
2x  1  7
26. x  8  5  9
For problems 27 – 29, state whether the equation has one solution, no solutions, or if it is an
Identity (Infinitely Many Solutions)
27. 4(x – 3) = 4x – 12
28. 10x – 3x – 9 =4
30. Find the x-intercept and the and y-intercept:
29. 2x + 6(x + 1) = 4(2x – 3)
2x + 3y = 12
31. Find the slope and y-intercept: x – 4y = 8
32. Write the equation for the line containing the point (6, -1) that has slope of 
1
.
2
33. Find the equation of the line that passes through the points (2, 7) and (-4, -5).
34. Find the equation of the line that passes through the point (-2, -7) that is parallel to the line y = 3x + 1.
35. Are the two lines 3x – y = -7 and x + 3y = 6 parallel or perpendicular?