AnswersMathematics IISolving Linear-Quadratic Systems

Solving Linear-Quadratic Systems — Quiz Answers

10 verified answers1 views
1
Free Preview

Which graph most likely shows a system of equations with one solution?

A
Image with description On a coordinate plane, the scale on the x and the y axes ranges from negative 5 to 5 in increments of 1. A parabola opens down and has the vertex at 0 comma 3. A straight line has a negative slope, passes through the points negative 1 comma 0 and 0 comma negative 1.
B
Image with description On a coordinate plane, the scale on the x and the y axes ranges from negative 5 to 5 in increments of 1. A parabola opens down and has the vertex at 0 comma 1. A straight line has a positive slope, passing through the points 0 comma negative 3 and 2 comma negative 2.
C
Image with description On a coordinate plane, the scale on the x and the y axes ranges from negative 5 to 5 in increments of 1. A parabola opens down and has the vertex at 0 comma 1. A straight line has a positive slope, passes through the points 0 comma 3 and negative 3 comma negative 3.
D
Image with description On a coordinate plane, the scale on the x and the y axes ranges from negative 5 to 5 in increments of 1. A parabola opens up and has the y-intercept at 0 comma 1. A straight line has a positive slope, passes through the points 3 comma 0 and 0 comma negative 3.
2
Free Preview

Which represents the solution(s) of the system of equations, y is equal to negative x squared plus 6 x plus 16 and y is equal to negative 4 x plus 37 ? Determine the solution set algebraically.

A
3 comma 25
B
negative 3 comma 49 and negative 7 comma 65
C
negative 3 comma 49
D
3 comma 25 and 7 comma 9
3

Which graph shows a system of equations with a solution at negative 1 comma 1 ?

A
Image with description On a coordinate plane, the scale on the x and the y axes ranges from negative 5 to 5 in increments of 1. A parabola opens down and has the vertex at 0 comma 3. A straight line has a positive slope, passing through the points negative 2 comma 0 and 0 comma 2.
B
Image with description On a coordinate plane, the scale on the x and the y axes ranges from negative 5 to 5 in increments of 1. A parabola opens down and has the vertex at 0 comma 1. A straight line has a positive slope, passing through the points 0 comma negative 2 and 2 comma 0.
C
Image with description On a coordinate plane, the scale on the x and the y axes ranges from negative 5 to 5 in increments of 1. A parabola opens up and has the vertex at 0 comma negative 2. A straight line has a negative slope, passes through the points negative 1 comma 0 and 0 comma negative 1.
D
Image with description On a coordinate plane, the scale on the x and the y axes ranges from negative 5 to 5 in increments of 1. A parabola opens up and has the vertex at 0 comma negative 2. A straight line has a positive slope, passes through the points 1 comma 0 and 0 comma negative 1.
4

Which graph most likely shows a system of equations with no solutions?

A
Image with description On a coordinate plane, the scale on the x and the y axes ranges from negative 5 to 5 in increments of 1. A parabola opens up and has the vertex at 0 comma 1. A straight line has a positive slope, passing through the points negative 2 comma 0 and 0 comma 2.
B
Image with description On a coordinate plane, the scale on the x and the y axes ranges from negative 5 to 5 in increments of 1. A parabola opens up and has the vertex at 0 comma negative 1. A straight line has a negative slope, passes through the points 1 comma negative 1 and 0 comma 1.
C
Image with description On a coordinate plane, the scale on the x and the y axes ranges from negative 5 to 5 in increments of 1. A parabola opens up and has the vertex at 0 comma negative 3. A straight line has a positive slope, passing through the points 0 comma negative 3 and 2 comma negative 2.
D
Image with description On a coordinate plane, the scale on the x and the y axes ranges from negative 5 to 5 in increments of 1. A parabola opens up and has the vertex at 0 comma negative 1. A straight line has a positive slope, passing through the points 0 comma negative 3 and 3 comma 0.
5

Which represents the solution(s) of the graphed system of equations, y is equal to x squared plus x minus 2 and y is equal to 2 x minus 2 ? Expand Image

A
negative 2 comma 0 and 1 comma 0
B
0 comma negative 2 and 0 comma 1
C
0 comma negative 2 and 1 comma 0
D
negative 2 comma 0 and 0 comma 1
6

The first two steps in determining the solution set of the system of equations, y is equal to x squared minus 2 x minus 3 and y is equal to negative x plus 3 , algebraically are shown in the table. Step Equation Step 1 x squared minus 2 x minus 3 is equal to negative x plus 3 Step 2 0 is equal to x squared minus x minus 6 Which represents the solution(s) of this system of equations?

A
negative 6 comma 9 and 1 comma 2
B
6 comma negative 3 and negative 1 comma 4
C
negative 3 comma 6 and 2 comma 1
D
3 comma 0 and negative 2 comma 5
7

Which represents the solution(s) of the system of equations, y plus 4 is equal to x squared and y minus x is equal to 2 ? Determine the solution set by graphing.

A
negative 2 comma 0
B
negative 2 comma 0 and 2 comma 0
C
negative 2 comma 0 and 3 comma 5
D
no solutions
8

The first step in determining the solution to the system of equations, y is equal to negative x squared minus 4 x minus 3 and y is equal to 2 x plus 5 , algebraically is to set the two equations equal as negative x squared minus 4 x minus 3 is equal to 2 x plus 5 What is the next step?

A
Set y is equal to 0 in y is equal to negative x squared minus 4 x minus 3 .
B
Combine like terms onto one side of the equation.
C
Factor each side of the equation.
D
Use substitution to create a one-variable equation.
9

The first two steps in determining the solution set of the system of equations, y is equal to x squared minus 6 x plus 12 and y is equal to 2 x minus 4 , algebraically are shown in the table. Step Equation Step 1 x squared minus 6 x plus 12 is equal to 2 x minus 4 Step 2 x squared minus 8 x plus 16 is equal to 0 Which represents the solution(s) of this system of equations?

A
negative 4 comma 4 and 4 comma 12
B
4 comma 4 and negative 4 comma 12
C
4 comma 4
D
negative 4 comma negative 12
10

Which represents the solution(s) of the graphed system of equations, y is equal to x squared plus 2 x minus 3 and y is equal to x minus 1 ? Expand Image

A
0 comma negative 3 and 1 comma 0
B
negative 3 comma negative 2 and 0 comma 1
C
negative 2 comma negative 3 and 1 comma 0
D
1 comma 0 and 0 comma negative 1

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Quiz

Quiz
10 verified answers

Quiz

Quiz
10 verified answers

Quiz