### All High School Math Resources

## Example Questions

### Example Question #34 : Solving Quadratic Equations

Complete the square:

**Possible Answers:**

**Correct answer:**

Begin by dividing the equation by and adding to each side:

Square the value in front of the and add to each side:

Factor the left side of the equation:

Take the square root of both sides and simplify:

### Example Question #35 : Solving Quadratic Equations

Complete the square:

**Possible Answers:**

**Correct answer:**

Begin by dividing the equation by and subtracting from each side:

Square the value in front of the and add to each side:

Factor the left side of the equation:

Take the square root of both sides and simplify:

### Example Question #1 : Using The Quadratic Formula

Solve using the quadratic formula:

**Possible Answers:**

**Correct answer:**

Use the quadratic formula to solve:

### Example Question #2 : Using The Quadratic Formula

Solve using the quadratic formula:

**Possible Answers:**

**Correct answer:**

Use the quadratic formula to solve:

### Example Question #3 : Using The Quadratic Formula

Solve using the quadratic formula:

**Possible Answers:**

**Correct answer:**

Use the quadratic formula to solve:

### Example Question #4 : Using The Quadratic Formula

Solve using the quadratric formula:

**Possible Answers:**

**Correct answer:**

Use the quadratic formula to solve:

### Example Question #5 : Using The Quadratic Formula

A baseball that is thrown in the air follows a trajectory of , where is the height of the ball in feet and is the time elapsed in seconds. How long does the ball stay in the air before it hits the ground?

**Possible Answers:**

Between 3 and 3.5 seconds

Between 3.5 and 4 seconds

Between 2 and 2.5 seconds

Between 4 and 4.5 seconds

Between 2.5 and 3 seconds

**Correct answer:**

Between 3 and 3.5 seconds

To solve this, we look at the equation .

Setting the equation equal to 0 we get .

Once in this form, we can use the Quadratic Formula to solve for .

The quadratic formula says that if , then

.

Plugging in our values:

Therefore or and since we are looking only for positive values (because we can't have negative time), 3.4375 seconds is our answer.

### Example Question #41 : Solving Quadratic Equations

Solve the quadratric inequality:

**Possible Answers:**

**Correct answer:**

Factor and solve.

Since the equation is less than or equal to, you know the inequality will be OR, not AND.

or

### Example Question #42 : Solving Quadratic Equations

Solve the following quadratic inequality:

**Possible Answers:**

**Correct answer:**

Factor and solve. Since the sign is less than or equal to, we know the inequality will be OR, not AND.

or

### Example Question #43 : Solving Quadratic Equations

Solve the following quadratic inequality:

**Possible Answers:**

**Correct answer:**

Use the quadratic formula to solve.

Since the inequality is greater than or equal to, we know the inequality will be AND, not OR.

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