Equations and Inequalities
Linear Relations and Functions
Systems of Equations and Inequalities
Matrices
Everything
100
1. Solve for x for this equation. 1/2x-8=4 a. x=6 b. x=24 c. x=-6 d. x=-24
b. x=24
100
Fill in the blank. Equations that represent functions are often written in ___________ _____________.
Functional notation
100
If a line is parallel, is it consistent and independent, consistent and dependent, or inconsistent?
This system is inconsistent.
100
Two matrices are considered ___________ _____________ if they have the same dimensions and if each element of one matrix is equal to the corresponding element of the other matrix
Equal Matrices
100
Juanita and Vincent are solving the system 2x-y=6 and 2x+y=10. Juanita got the answer no solution while Vincent got ( 4,2). Who is right? Why?
Vincent is right because Juanita subtracted the two equations incorrectly.
200
Fill in the blank. _____________ are symbols, usually letters, used to represent unknown quantities.
Variables
200
Choose the correct answer. Which of the following is not a linear equation? a. x=9 b. 5x-3y=7 c. y=1/x d. 6s=-3t-15
c. y=1/x
200
A system of equations is ____________ if it has at least one solution and _____________ if it has no solutions.
Consistent, inconsistent
200
Choose the correct answer. What is the dimension? [2 0 3 0] a. 4 x 1 b. 1 x 4 c. 1 x 3 d. 3 x 1
b. 1 x 4
200
What is a ordered triple?
Ordered triple is the solution of a system of equations in three variables x, y, and z.
300
Select the correct answer. 1. Solve for x if -x+4>9 a. x>5 b. x<5 c. x>-5 d. x<-5
d. x<-5
300
3x-6y-9=0 3x-6y=9 x-2y=3 <---- Standard Form A=1, B=-2, and C=3 <-----A, B, and C Show all work! Write this equation in standard form. Identify A, B, And C. 3x-6y-9=0
3x-6y-9=0 3x-6y=9 x-2y=3 <---- Standard Form A=1, B=-2, and C=3 <-----A, B, and C
300
Choose the correct answer. Solve for x and y. 2x+y=11, x+3y=13 a. x=3, y=4 b. x=-4, x=3 c. x=4, y=3 d. None of the above
c. x=4, y=3
300
Solve for x, y, and z. [2x 3 3z] = [5 3y 9]
x=5/2, y= 1, z=3
300
How do u order the variables in order triple?
You order by alphabetical order.
400
Show all your work! Solve for x and write in set notation. -11<-4x+5<13
-11<-4x+5<13 -16<-4x<8 4>x>2 {x|4>x>-2} {x|-2
400
What is the formula for slope intercept form and what does m and b stand for? Turn 6x-4y=6 in slope intercept form.
y=mx+b <----Slope intercept form m=Slope b=y-intercept y=6/4x-6/4
400
Find the vertices. (Graphing would be the best way) x+y>-1 x-y<6 12y+x<32
(-4,3) (2.5,-3.5) (8,2)
400
Show all work! Solve. [5 61 42 -2] - [ -3 90 -8 9]
[5 61 42 -2] - [ -3 90 -8 9] <--- Original Problem 5-(-3)= 8 61-90=-29 42-(-8)=50 (-2)-9=-11 [8 -29 50 -11] <----- Answer
400
When can matrices be multiplied?
When the number of columns in the first matrix equal the number of rows in the second matrix.
500
Solve for x. Show all your work. 2(2x+3)-3(4x-5)=22
2(2x+3)-3(4x-5)=22 4x+6-12x+15=22 -8x+21=22 -8x=1 x=-1/8 <--- Final Answer
500
What do you use to test if a graph is a function?
Vertical Line Test
500
Show all work. Solve by using elimination. 4a+2b=15 2a+2b=7
4a+2b=15 2a+2b=7 (4, -1/2) <--- Answer (-)2a+2b=7 2(4)+2b=7 ___________ 8+2b=7 2a=8 2b=-1 a=4 b=-1/2
500
Show all work! Solve. [3 2 5] * [5 10 9]
Cannot be solved.
500
Show all work! Solve for x, y, and z. Write answer in ordered triple. x+2y+z=10 2x-y+3z=-5 2x-3y-5z=27
x+2y+z=10 2x-y+3z=-5 5y-z=25 (-)2x-y+3z=-5 2x-3y-5z=27 2y+8z=-32 ___________ ___________ __________ 5y-z=25 2y+8z=-32 42y=168 y=4 5y-z=25 x+2y+z=10 5(4)-z=25 x=2(4)+(-5)=10 (7,4,-5) <--- Ordered 20-z=25 x+8-5=10 Triple
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