Numbers & Operations
Algebra & Algebraic Thinking
Geometry
Mixed Review
Mixed Review 2
100

Find the irrational number.

a) √4  b) √100  c) √400   d) √200

What is Choice D/ √200?

100

Find the value of x when 

6 − 2x = 5x − 9x + 10.

What is 2?

100

Use the Pythagorean theorem to find the unknown side of the right triangle with legs of the lengths of 7 cm. and 24 cm.

What is 25 cm.?

100

Simplify.

6* 65

What is 6?

100

Simplify the expression below.
x4 • x4 • x4

What is x12 ?

200

Classify 361 as a perfect square, perfect cube, both, or neither.

What is a perfect square?

200

Solve the equation 

6.5g + 9 =3.5 +18.

What is 3?

200

Decide if the triangle is a right triangle with the side lengths of 10, 24,and 26 is a right triangle.

What is "yes, it is a right triangle?

200

Express the following number in scientific notation.

0.00049

What is 4.9 * 10-4 ?

200

The side lengths of different triangles are given. Which triangle is a right triangle?

a) 6, 7, 13

b) √21,√99, 11

c) 10, 60, 61

d) √35, √14, 7


What is Choice D?

300

The volume of a cube is 343 in.3. 

Find the length of one side of the cube.

What is 7 in.?

300

Use the Distributive Property to solve the equation below. 

21 − (2c+3) =2(c + 4) + c

What is 2?

300

You are going to use an incline plane to lift a heavy object to the top of a shelving unit with a height of 6 ft. The base of the incline plane is 13 ft. from the shelving unit. What is the length of the incline plane? (Round to the nearest tenth as needed.)

What is 14.3 ft.?

300

Simplify.

x-12 * x9

What is x-3 ?

300

Between which two integers does the value of  square root of 50 lie?

What are/What is 7 and 8

400

Write 0.72...  as a fraction in simplest form.

What is 8/11?

400

Solve 

3 (3x + 5) = 12x + 11 − 3x + 4.

What is infinitely many solutions?

400

Find the volume of the cylinder with a radius of 9 in. and a height of 8 in.  (Round to the nearest tenth.)

Use the formula: V = pi * r 2 * h

V = π * r2  * h 

What is 2,034.72 cubic inches?

400

Two trains, Train A and Train B, weigh a total of  399 tons. Train A is heavier than Train B. The difference of their weights is 237 tons. Determine the weight of each train. 

What is Train A is 318 tons and Train B is 81 tons?

400

Which of the following equations represents a proportional relationship?        

 A. y=5x            C. y=5/x                               

B. y=(1/2)x+5     D. y=x+(1/2)

What is y= 5x

500

Classify the following numbers as rational or irrational, if rational, find the square root.

a)  √ 256

b) √ 343

c) √ 361

What is a and c are rational? 16 and 19

What is b is irrational?

500

A 258-inch boardboard is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece.

What is 43 inches?

500

The volume of the cone is 100 m3 and the height 12 m.

Find the radius of the cone.

Use the formula: V = 1/3 * pi * r* h

What is 5 m.?

500

Together, teammates Pedro and Ricky got 2681 base hits last season.  Pedro had 275more hits than Ricky. Determine how many hits each player had.

What is Ricky had 1203 hits and Pedro had 1478 hits?

500

The bottom of a ladder must be placed 3 feet from a wall. The ladder is 10 feet long. How far above the ground does the ladder touch the wall? Round your answer to the nearest tenth.

What is 9.5ft above ground