### All Common Core: High School - Algebra Resources

## Example Questions

### Example Question #1 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Solve for and . Round your answer to the nearest hundredth.

**Possible Answers:**

**Correct answer:**

The first step to do is solve for a variable. Let's solve for first.

Now we subtract from each side.

Now we divide by

Now since we found , we can plug this into the other equation and find .

Now we solve for .

Now we divide by .

Now round to the nearest hundredth.

Now since we have a value for , we plug this into the first equation and find .

Now we subtract from each side.

Now we divide by

Now round to the nearest hundredth.

### Example Question #2 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Solve for and . Round your answer to the nearest hundredth.

**Possible Answers:**

**Correct answer:**

The first step to do is solve for a variable. Let's solve for first.

Now we subtract from each side.

Now we divide by

Now since we found , we can plug this into the other equation and find .

Now we solve for .

Now we divide by

Now round to the nearest hundredth.

Now since we have a value for , we plug this into the first equation and find .

Now we add to each side.

Now we divide by

Now round to the nearest hundredth.

### Example Question #3 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Solve for and . Round your answer to the nearest hundredth.

**Possible Answers:**

**Correct answer:**

The first step to do is solve for a variable. Let's solve for first.

Now we subtract from each side.

Now we divide by

Now since we found , we can plug this into the other equation and find .

Now we solve for .

Now we divide by .

Now round to the nearest hundredth.

Now since we have a value for , we plug this into the first equation and find .

Now we add to each side.

Now we divide by

Now round to the nearest hundredth.

### Example Question #4 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Solve for and . Round your answer to the nearest hundredth.

**Possible Answers:**

**Correct answer:**

The first step to do is solve for a variable. Let's solve for first.

Now we subtract from each side.

Now we divide by

Now since we found , we can plug this into the other equation and find .

Now we solve for .

Now we divide by .

Now round to the nearest hundredth.

Now since we have a value for , we plug this into the first equation and find .

Now we subtract from each side.

Now we divide by

Now round to the nearest hundredth.

### Example Question #5 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Solve for and . Round your answer to the nearest hundredth.

**Possible Answers:**

**Correct answer:**

The first step to do is solve for a variable. Let's solve for first.

Now we subtract from each side.

Now we divide by

Now since we found , we can plug this into the other equation and find .

Now we solve for .

Now we divide by .

Now round to the nearest hundredth.

Now since we have a value for , we plug this into the first equation and find .

Now we add on each side.

Now we divide by

Now round to the nearest hundredth.

### Example Question #6 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Solve for and . Round your answer to the nearest hundredth.

**Possible Answers:**

**Correct answer:**

The first step to do is solve for a variable. Let's solve for first.

Now we subtract from each side.

Now we divide by

Now since we found , we can plug this into the other equation and find .

Now we solve for .

Now we divide by .

Now round to the nearest hundredth.

Now since we have a value for , we plug this into the first equation and find .

Now we add -17.8349082823791 to each side.

Now we divide by

Now round to the nearest hundredth.

### Example Question #7 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Solve for and . Round your answer to the nearest hundredth.

**Possible Answers:**

**Correct answer:**

The first step to do is solve for a variable. Let's solve for first.

Now we subtract from each side.

Now we divide by

Now since we found , we can plug this into the other equation and find .

Now we solve for .

Now we divide by .

Now round to the nearest hundredth.

Now since we have a value for , we plug this into the first equation and find .

Now we add to each side.

Now we divide by

Now round to the nearest hundredth.

### Example Question #8 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Solve for and . Round your answer to the nearest hundredth.

**Possible Answers:**

**Correct answer:**

The first step to do is solve for a variable. Let's solve for first.

Now we subtract from each side.

Now we divide by

Now since we found , we can plug this into the other equation and find .

Now we solve for .

Now we divide by .

Now round to the nearest hundredth.

Now since we have a value for , we plug this into the first equation and find .

Now we subtract from each side.

Now we divide by

Now round to the nearest hundredth.

### Example Question #9 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Solve for and . Round your answer to the nearest hundredth.

**Possible Answers:**

**Correct answer:**

The first step to do is solve for a variable. Let's solve for first.

Now we subtract from each side.

Now we divide by

Now since we found , we can plug this into the other equation and find .

Now we solve for .

Now we divide by .

Now round to the nearest hundredth.

Now since we have a value for , we plug this into the first equation and find .

Now we add to each side.

Now we divide by

Now round to the nearest hundredth.

### Example Question #10 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Solve for and . Round your answer to the nearest hundredth.

**Possible Answers:**

**Correct answer:**

The first step to do is solve for a variable. Let's solve for first.

Now we subtract from each side.

Now we divide by

Now since we found , we can plug this into the other equation and find .

Now we solve for .

Now we divide by .

Now round to the nearest hundredth.

Now since we have a value for , we plug this into the first equation and find .

Now we subtract from each side.

Now we divide by

Now round to the nearest hundredth.

### All Common Core: High School - Algebra Resources

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