S of E Vocabulary
Two lines that do not intercept are _____________ and have the same __________.
A. Perpendicular, slope
B. Parallel, slope
C. Parallel , solution
D. Perpendicular, solution
What is (B) Parallel, Slope?
Most of the system of equations solved by graphing in class have been written in what form?
A. slope-intercept
B. standard
C. point-slope
D. none of the above
What is (A) Slope-Intercept?
Which is the correct 1st step to solve the system of linear equations by substitution?
y=x+1
2x+2y=12
A. 2x+2(x+1)=12
B. 2(x+1)+2y=12
C. 2x+2y(x+1)=12
D. 2x+2y=x+1
What is (A) 2x+2(x+1)=12?
When solving a system of equations by elimination, the equations are usually in what form?
What is Standard Form?
A system of equations can have 3 possible outcomes, what are they?
What is 1 solution, no solution, or infinitely many solutions?
When graphing a system of equations, if the lines have opposite slopes, then there are/is:
A. two solutions
B. infinitely many solutions
C. no solution
D. one solution
What is (D) One Solution?
Given the following first step to solving a system of equations, which is the correct 2nd step?
2x+2(x+1)=12
A. 2x+2x+1=12
B. 2x+2=12
C. 2x+2x=12
D. 2x+2x+2=12
What is (D) 2x+2x+2=12?
When solving a system of equations by elimination, it is impossible to end up with:
A. no solution
B. 1 solution
B. infinitely many solutions
D. 2 solutions
What is (D) 2 solutions?
Which of the following was NOT a method we used for solving system of equations?
A. graphing
B. multiplication
C. substitution
D. elimination
What is (B) Multiplication?
Just by looking at the following system of equations, how many solutions will it have?
y = ½x + 5
y = -½x + 5
A. 1
B. No solution
C. Infinitely many solutions
D. 2
E. 3
What is (A) 1?
Which of the following system of equations have we NOT solve in class by substitution?
A. y =2x+1 B. 2x+2y = 5
y = x – 1 y = x+1
C. 2x+3y=5 D. 2x+4y=3
7x - 4y=1 x=y+1
What is (C) 2x+3y=5
7x - 4y=1
What would be the first step in solving the following system of equations?
2x+3y = 2
3x – 3y=5
A. Cancel the x’s
B. cancel the y’s
C. cancel both x’s and y’s
D. solve for x
What is (B) cancel the y’s?
Once we have solved for our X and Y, How do we write the final solution?
What is an Ordered Pair?
Which of the following is required to solve a system of linear equations by graphing?
A. Knowing how to plot points
B. Being able to find the x and y intercepts
C. Knowing how to use a calculator
D. Understanding slope
What is (A) Knowing how to plot points?
What can you conclude from the following problem? Y = 2x+3 and y = 2x – 4
2x + 3 = 2x – 4
-2x -2x
3 = - 4
What is no solution?
What would be the outcome when solving the following system of equation?
2x – 3y = 7
-2x + 3y = -7
A. no solution
B. 1 solution
C. infinitely many solutions
D. 2 solutions
What is (C) infinitely many solutions?
The phrase “cancels out” refers to two terms that:
a) When added equal to 1
b) When added equal to zero
c) when added equals to 1x
d) when divided equal to 0
What is (B) When added equal to zero?
Which of the following statements is true all the time when graphing a system of equations?
A. There is always a solution
B. The lines will always intercept
C. The lines can be graphed
D. The lines will be perpendicular
What is (C) The lines can be graphed?
When solving a system of equations by substitution, you should always get the same solution as if you were graphing the system?
A. True all the time
B. False all the time
C. True sometimes
What is (A) True all the time?
Which of the following is a correct first step to solving the system of equations by elimination if you’re going to add the equations?
A. 2 (2x + 3y =5) B. 5 (x – y = 5)
-4x + y = 1 x – 5y = 1
C. x + 4y = 7 D. They are all correct
4 (x + y = 1)
What is (A) 2 (2x + 3y = 5)
-4x + y = 1