MCAS Prep

The Number System

1

What is the square root of 36?

6

2

What is the square root of 81?

9

3

What is the square root of 121?

11

4

The square root of 67 is between what two whole numbers?

8 and 9

5

What is the inverse operation of a square root?

Squaring

Expressions & Equations

1

Simplify the following exponential expression

                            4x^-2

1/4x²

2

write the number 237,000 in scientific notation

2.37 x 10⁵

3

How many solutions are there in the following equation?

3x + 5 = 3x - 5?

No solution

4

find the value of x

3(x -4) + 5 = 5

x = 4

5

Write the equation of the line that passes through the following points: (0, 5) and (1, 8)

y = 3x + 5

Functions

1

What is the name of the test you can use to determine if a graph is a function?

Vertical Line Test

2

What is a function?

Relationship in which each input has exactly one output.

3

if the the function of y = -3x -12 has an input of -3, what is the output?

-3

4

If the following function of y = 2x -10 has in out put of 2, what must the input be?

6

5

Which function has a greater rate of change (slope)?

1. y = -3x +4

2. y = 3/2x -9

3. y = 5 + 4x

y = 5 + 4x

Geometry

1

The point (-5 , 9) was translated 6 units up and 6 units left. What is the new coordinate?

(-11 , 15)

2

What is the equation for finding the side length of a right triangle?

a² + b² = c² 

3

Two legs of a triangle have measurements of 3in and 4in. What is the measure of the hypotenuse?

5 inches

4

Two angles inside a triangle measure to 156 degrees. What is the measurement of the 3rd angle?

24 degrees

5

The point (-4 , -5) was reflected across the y-axis. What is the new coordinate after the reflection?

( 4 ,-5 )

Statistics & Probability

1

What is the probability of rolling an even number on a 6 sided standard die?

1/2

2

What is the probability of rolling a 6 or a 2 on standard die?

1/3

3

A baseball player gets 1 hit in 5 at bats. What percentage of his at bats did he get a hit?

20

4

What is an outlier on a scatter plot?

A point that does not fit the general pattern/association of the graph

5

A basketball player shoots 28 shots in the game. He makes 12 of them. What percentage of the shots did he make?

43%