Algebra Skills Quiz

What is the solution to the system?

• (-1, 3)

• (-3, 1)

• (3, -1)

• (-3, -1)

Answer explanation

The correct solution to the system is (3, -1), as it satisfies both equations in the system.

Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)

• (-8,-3)

• (3,-8)

• (8,3)

Answer explanation

Lesly graphed two lines and found that the solution to the system of equations is (-3,-8), which matches the correct answer choice.

Answer explanation

To simplify the expression (2x^3) * (4x^2), multiply the coefficients (2 * 4 = 8) and add the exponents (3 + 2 = 5), resulting in 8x^5.

Tags

FL.MA.8.AR.1.1

Answer explanation

To simplify the expression, multiply the coefficients (3 * 2 = 6) and add the exponents for 'a' and 'b' terms (a^2 * a = a^3, b * b^3 = b^4), resulting in 6a^3b^4.

Tags

FL.MA.8.AR.1.1

Answer explanation

Answer Explanation highlighting the correct choice: (2x + 3)(x - 4) = 2x^2 - 5x - 12

Tags

FL.MA.8.AR.1.2

Answer explanation

The linear expressions are multiplied using the distributive property, resulting in x^2 + 3x - 10.

Tags

FL.MA.8.AR.1.2

Answer explanation

The correct solution to the system of equations is the point of intersection, which is (1, 3). This point satisfies both equations.

Tags

FL.MA.8.AR.4.3

Answer explanation

The correct solution is the point of intersection of the two lines, which is (1, 3). Therefore, the correct answer is (1, 3).

Tags

FL.MA.8.AR.4.3

• One solution

• No solution

• Infinitely many solutions

• Cannot be determined

Answer explanation

The system of equations has parallel lines with different y-intercepts, so they will never intersect, leading to no solution.

Tags

FL.MA.8.AR.4.2

• One solution

• No solution

• Infinitely many solutions

• Cannot be determined

Answer explanation

The system of equations have parallel lines with the same slope but different y-intercepts, so they do not intersect, leading to no solution.

Tags

FL.MA.8.AR.4.2