Unit 4 Practice

Adding/Subtracting Fractions

100

Simplify

1/4 + 2/4

3/4

200

Simplify

5/3 - 4/3

1/3

300

Simplify

3/4 + 1/2

5/4 or 1 and 1/4

400

Simplify

3/5 + 4/6

19/15 or 1 and 4/15

500

Simplify

3/5 - 7/2

-29/10 or -2 and 9/10

Multiplying/Dividing/Reducing Fractions

100

Simplify

2/6 * 1/3

2/18 or 1/9

200

Simplify

7/5 * 2/3

14/15

300

Simplify

3/5 / 6/4

12/30 or 2/5

400

Simplify

(4/5) / 6

4/30 or 2/15

500

Simplify

3 / (2/5)

15/2 or 7 and 1/2

Simplifying Square Roots

100

Simplify

Sqrt(81)

9

200

Simplify

Sqrt(24)

2sqrt(6)

300

Simplify

Sqrt(63)

3sqrt(7)

400

Simplify

Sqrt(25x²y⁶)

5xy³

500

Simplify

Sqrt(75x⁴y⁷)

5x²y³Sqrt(3y)

Pythagorean Theorem and Distance Formula

100

Find side c of a right triangle if a=15 and b=20.

25

200

Find side c of a right triangle if a=2 and b=10

Sqrt(104)

300

Find side b of a right triangle if a=8 and c=10.

6

400

Find the distance between the points:

(2, 4) and (-2, 1)

5

500

Find the distance between the points:

(-3, 5) and (4, 1)

Sqrt(65)

Word Problems

100

Joan is making a trail mix for her hiking club. She uses 2/3 cup of almonds and 3/4 cup of raisins. How many cups of trail mix ingredients does she have altogether?

17/12 or 1 and 5/12 cups

200

A rope is 7/8 yard long. Frankie wants to cut it into 4 equal pieces. What will the length of each piece be?

7/32 yards

300

A recipe for granola bars calls for 2/5 cup of honey per batch. Frankie wants to make 3 batches. How much honey does she need? Write your answer as a proper fraction.

1 and 1/5 cup

400

On a coordinate map, the town of Silverton is at (–2, 3) and the trailhead for a popular hike is at (4, –1). Find the distance from the trailhead to the town.

Sqrt(52)

500

 A ladder leans against the wall. The ladder is 13 feet long.  The distance from the bottom of the ladder to the bottom of the wall is 5 feet.  Draw a picture and use it to help you find the height of the top of the ladder off the ground.

12 feet