### All ACT Math Resources

## Example Questions

### Example Question #1 : How To Find Value With A Number Line

On a real number line, what is the midpoint of –4 and 18?

**Possible Answers:**

14

4

11

8

7

**Correct answer:**

7

The integer halfway between –4 and 18 is 7. The number 7 is 11 greater than –4 and 11 less than 18. Another way to determine this would be to find the average of the two numbers: (–4 + 18)/2 = 14/2 = 7.

### Example Question #2 : How To Find Value With A Number Line

On a number line, what is the distance between –6 and 7?

**Possible Answers:**

–1

–13

1

13

3

**Correct answer:**

13

To find distance between two points, take the second and subtract the first.

So 7–(–6) = 7 + 6 = 13

### Example Question #2 : Number Line

What is the distance on a number line between and ?

**Possible Answers:**

**Correct answer:**

The distance between 2 numbers on a number line is the sum of their absolute values.

### Example Question #3 : Number Line

Which equation can be used to describe the following number line:

**Possible Answers:**

None of the other answers

**Correct answer:**

Solve each equation for , plot on number line.

### Example Question #1 : Other Number Line

Which number below is farthest from –3 on a number line?

**Possible Answers:**

3

3/2

0

–8

–1

**Correct answer:**

3

The answer here relies on knowledge of how numbers are arranged on a number line. We are looking for the number furthest from –3. The number furthest from –3 can lie either to the left of –3 which would be negative numbers that are more negative, or further from 0 than –3. The number furthest from –3 could also lie to its right on the number line, these numbers include all negative numbers between –3 and 0,0, and all positive numbers. The number that satisifes these conditions and is the furthest from –3 on the number line is –8