What is the solution to the equation 4 3x = 2 x − 4?

A. 1 6

B. 8

C. -3.4 and 0.4

D. No real solution

A
Correct!

B
Incorrect. That’s the y-coordinate of the point of intersection. You need the x-coordinate.

C
Incorrect. Check that you entered the left side of the equation correctly into Y=.

D
Incorrect. Graph both sides of the equation on your graphing calculator, then determine the number of solutions.

How many solutions are there to the equation 10 x + 3 = x + 9 x − 4 ?

A. 0
Incorrect. If you graph both sides of the equation on your graphing calculator, you will see that there are two points of intersection, so there are two solutions.

B. 1
Incorrect. If you graph both sides of the equation on your graphing calculator, you will see that there are two points of intersection, so there are two solutions.

C. 2
Correct!

D. Infinitely many
Incorrect. If you graph both sides of the equation on your graphing calculator, you will see that there are two points of intersection, so there are two solutions.

Solve for a: a a − 5 + a + 3 a − 3 = a + 5 a − 5

A. No real solutions.
Incorrect. Graph both sides of the equation on your graphing calculator then determine the number of solutions.

B. -1, 6
Incorrect. Those are the y-coordinates of the points of intersection. The solutions to the equation are the x-values of the points of intersection.

C. 0
Incorrect. Graph both sides of the equation on your graphing calculator then determine the number of solutions.

D. 0 and 7
Correct!

Solve for x: 3 x − 3 = 4x² x² − 9 − 4x x + 3

A. No real solutions.
Incorrect. Graph both sides of the equation on your graphing calculator, then determine the number of solutions.

B. x = 3 2 or x = -3
Incorrect. If you solve the equation graphically or with a table, you will see that there is only one solution to the problem.

C. x = 3 2
Correct!

D. x ≠ ±3
Incorrect. These are the values excluded from the domain of the expressions, but they are not the solutions to the equation.