Systems of Quadratic-Linear Equations Warmup 2

Find the solution(s).

• (3,18) and (-4, 15)

• (5,2) and (5,-9)

• (-4,-4)

• (-4,2)

Answer explanation

To find the solution, we check each pair against the equations. The pair (-4, 2) satisfies the equations, while the others do not. Thus, (-4, 2) is the correct answer.

Find the solution(s).

• (-1,7) and (0,5)

• (-4,2) and (-5,8)

• (-2,6) and (10,15)

• (-2,4) and (6,12)

Answer explanation

The correct choice is (-2,4) and (6,12) because these points satisfy the conditions of the problem, likely representing a linear relationship or function that matches the criteria given.

Given the system of equations:
y = x² + 3x - 5
y = x + 3
When x = -4, what is the value of y?

• -1

• 1

• 7

• -33

Answer explanation

Substituting x = -4 into the second equation y = x + 3 gives y = -4 + 3 = -1. Thus, the value of y when x = -4 is -1, which matches the correct answer.

What are the solutions to the graphed system?

• (0,-2) and (3,1)

• (-2,0) and (2,0)

• (0,-2) and (3,1)

• (2,2) and (1,0)

Answer explanation

The correct solutions to the graphed system are (0,-2) and (3,1), as these points satisfy both equations represented in the graph. The other options do not meet the criteria of the system.

Determine the solution to the given linear-quadratic function.

• (0, 0)

• (3, 0)

• (2, -3)

• (-3, 2)

Answer explanation

To solve the linear-quadratic function, we substitute the answer choices into the equation. Only (2, -3) satisfies the equation, confirming it as the correct solution.

• y = -4x + 72

• y = -2x - 9

• y = 1/2x - 9

• y = 2x + 9

Answer explanation

To convert 4x - 8y = 72 to slope-intercept form (y = mx + b), isolate y: -8y = -4x + 72, then y = 1/2x - 9. The correct answer is y = 1/2x - 9.