### All Common Core: 6th Grade Math Resources

## Example Questions

### Example Question #1 : Solve Unit Rate Problems: Ccss.Math.Content.6.Rp.A.3b

At a local market, farmers trade produce to obtain a more diverse crop. A farmer will trade turnips for ears of corn. If a man has ears of corn, then how many turnips can he get?

**Possible Answers:**

**Correct answer:**

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

We know that the farmer has ears of corn. Create a ratio with the variable that represents how many turnips he can get.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

### Example Question #61 : How To Find A Ratio

At a local market, farmers trade produce to obtain a more diverse crop. A farmer will trade turnips for ears of corn. If a man has ears of corn, then how many turnips can he get?

**Possible Answers:**

**Correct answer:**

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

We know that the farmer has ears of corn. Create a ratio with the variable that represents how many turnips he can get.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

### Example Question #1 : Solve Unit Rate Problems: Ccss.Math.Content.6.Rp.A.3b

At a local market, farmers trade produce to obtain a more diverse crop. A farmer will trade turnips for ears of corn. If a man has ears of corn, then how many turnips can he get?

**Possible Answers:**

**Correct answer:**

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

We know that the farmer has ears of corn. Create a ratio with the variable that represents how many turnips he can get.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

### Example Question #62 : How To Find A Ratio

**Possible Answers:**

**Correct answer:**

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

### Example Question #62 : How To Find The Solution To An Equation

**Possible Answers:**

**Correct answer:**

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

### Example Question #2 : Solve Unit Rate Problems: Ccss.Math.Content.6.Rp.A.3b

**Possible Answers:**

**Correct answer:**

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

### Example Question #1 : Solve Unit Rate Problems: Ccss.Math.Content.6.Rp.A.3b

**Possible Answers:**

**Correct answer:**

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

### Example Question #62 : Algebraic Concepts

**Possible Answers:**

**Correct answer:**

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

### Example Question #1 : Solve Unit Rate Problems: Ccss.Math.Content.6.Rp.A.3b

**Possible Answers:**

**Correct answer:**

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

### Example Question #2 : Solve Unit Rate Problems: Ccss.Math.Content.6.Rp.A.3b

**Possible Answers:**

**Correct answer:**

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .