EOC Systems Linear/Quad & Transformations Quad/Exponential

The graph of f(x) and g(x) are shown below. How many solutions does the system of equations have?

• One

• Two

• Three

• Four

• No Solution

Answer explanation

The graphs of f(x) and g(x) intersect at three distinct points, indicating that the system of equations has three solutions. Therefore, the correct answer is 'Three'.

Tags

CCSS.HSA.REI.C.7

Use the image to check for the correct work/explanation. Then select a choice below.

• I reviewed the correct answer and I understand my mistake(s)

• I did not review the correct answer

• I reviewed the correct answer and I DO NOT understand my mistake(s)

• I got the last question correct

Tags

CCSS.HSA.REI.C.7

What are the solutions to the system of equations graphed below?

• (2, 0)

• (0, 4)

• (-2,0)

• (0, -4)

• No Solution

Answer explanation

The solutions to the system of equations are the points where the lines intersect. The points (2, 0) and (-2, 0) are where the lines meet, confirming they are the correct solutions.

Tags

CCSS.HSA.REI.C.7

Use the image to check for the correct work/explanation. Then select a choice below.

• I reviewed the correct answer and I understand my mistake(s)

• I did not review the correct answer

• I reviewed the correct answer and I DO NOT understand my mistake(s)

• I got the last question correct

If a nonlinear system contains a linear function that never touches the quadratic function, that system has...

• 2 solutions

• 1 solution

• No solutions

• Infinite solutions

Answer explanation

Since the linear function never touches/crosses/meets the quadratic function, there are no points of intersection. Therefore, the system has no solutions.

Tags

CCSS.HSA.REI.C.7

Determine the number of solutions to the given linear-quadratic system.

• 0 solutions

• 1 solution

• 2 solutions

• 3 solutions

Answer explanation

The system consists of a linear equation and a quadratic equation. The quadratic can intersect the linear at two points, leading to 2 solutions. Thus, the correct answer is 2 solutions.

Tags

CCSS.HSA.REI.C.7

Use the image to check for the correct work/explanation. Then select a choice below.

• I reviewed the correct answer and I understand my mistake(s)

• I did not review the correct answer

• I reviewed the correct answer and I DO NOT understand my mistake(s)

• I got the last question correct

Tags

CCSS.HSA.REI.C.7

Determine the solution to the given linear-quadratic function.

• (0, 0)

• (3, 0)

• (2, -3)

• (0, -3)

Answer explanation

The solution to the linear-quadratic function is found by substituting values. (2, -3) satisfies the equation, making it the correct choice. The other options do not fulfill the function's requirements.

Tags

CCSS.HSA.REI.C.7

Use the image to check for the correct work/explanation. Then select a choice below.

• I reviewed the correct answer and I understand my mistake(s)

• I did not review the correct answer

• I reviewed the correct answer and I DO NOT understand my mistake(s)

• I got the last question correct

Tags

CCSS.HSA.REI.A.2

Two equations were graphed on the set of axes below.  Which point is a solution to the system of equations ?

• (0,3)

• (5,0)

• (2,-3)

• (8,9)

Answer explanation

The point (8,9) is a solution to the system of equations because it lies at the intersection of the two graphed lines, satisfying both equations. The other points do not meet this criterion.

Tags

CCSS.HSA.REI.C.7