Math 2 Benchmark 3 Review 1

​Benchmark 3 Review

​Math 2

Multiple Choice

Which equation has no real solutions?

• A

• B

• C

• D

​Use the discriminant to find quadratic equations with no real solution.

​discriminant = b² + 4ac

​Use the discriminant to find quadratic equations with no real solution.

​discriminant = b² + 4ac

Quadratic equations with no real solution have a discriminant that is negative.

Multiple Choice

The equation has no real solutions.

$$x^2+8x+7=0$$

• True

• False

Multiple Choice

The equation has no real solutions.

$$x^2+3x+7=0$$

• True

• False

Multiple Select

Solve.

3x² - 48​ = 0​ ​

• 4

• -3
• 16

• 12

• -4

Solving using the Square Root

1. Get the x² by itself in the equation.

Solving using the Square Root

2. Take the square root.

Solving using the Square Root

3. The square root of a square is +/-.

Multiple Select

Solve.

5x² - 500 = 0​ ​

• 10

• -10

• 5

• -5

• 100

Solving using the Square Root

1. Get the x² by itself in the equation.

2. Take the square root.

3. The square root of a square is +/-.

Solving using the Quadratic Formula

Multiple Choice

Solve.

$$3x^2-5x+4=0$$

• $$\frac{5\pm\sqrt[]{73}}{6}$$

• $$\frac{7\pm\sqrt[]{489}}{10}$$

• $$-2\pm\sqrt[]{2}$$

• No real solution

Multiple Choice

Solve.

$$5x^2-8x-5=0$$

• $$\frac{-1\pm\sqrt[]{55}}{6}$$

• $$\frac{1\pm\sqrt[]{55}}{6}$$

• $$\frac{4\pm\sqrt[]{41}}{5}$$

• No real solution