FOM1 Unit 1

Integer Operations

100

What is: 

-15 + 23?

8

200

Evaluate:

-18 + (-7)

- 25

300

Evaluate:

(-6)(8) + - 5

-53

400

What is:

(-72/-9) - 5

3

500

A submarine is 35 feet below sea level. It rises 18 feet and then drops 27 feet. What is its final position relative to sea level?

-44 feet

Order of Operations

100

Evaluate:

12 - 3(2)

6

200

Evaluate:

18/3 + 4(-2)

-2

300

Evaluate:

18 - 2(4 + 3)

4

400

Evaluate:

3² + 4(6 - 2)

25

500

Evaluate:

-25 - 2(-3)²

-43

Combining Like Terms

100

Simplify

7x - 3 + 4x

11x - 3

200

Simplify:

-8x² - 3x + 5x² + 7x

-3x²  + 4x

300

Simplify:

6x³ + 4x² - 9x³ + 7x² - 5x

-3x³ + 11x² - 5x

400

Simplify completely:

5x³ - 7x² + 4x - 9 + 3x² - 8x³ - 6x + 12

-3x³ - 4x² - 2x + 3

500

Simplify completely:

7x³ - 4x² + 6x - 8 - 3x³ + 9x² - 11x + 15 + 2x³ - 6x²

6x³ - x² - 5x + 7

Properties of Real Numbers

100

What property is shown below?

7 + 0 = 7

Identity Property of Addition

200

Use the Commutative Property of Addition to complete:

8 + 12 = __ + 8

12

300

Give an example of the Associative Property of Multiplication.

Any correct example, such as

(2 x 3) x 4 = 2 x (3 x 4)

400

Find the missing numbers and name the property.

15(x - 6) = __ (x) - 15(__) 

Numbers: 15 and 6

Property: Distributive Property

500

Complete the equation and identify the property:

-9 + ___ = 0

Number: 9

Property: Additive Identity Property

Algebraic Expressions

100

The product of 5 and x plus 2. 

What is 5x + 2?

200

Write an algebraic expression for:

Five less than three times a number n

3n - 5

300

Write an expression for:

Twice the difference between a number x and 9

2(x - 9)

400

The quotient of a number x and 4, increased by 6.

(x/4) + 6 

500

Write an algebraic expression for:

The square of the difference between a number x and 4, decreased by 6. 

(x - 4)² - 6

Distributive Property and Area

100

Simplify the following expression

3(x + 4)

3x + 12

200

Simply

-9(10 - 6r)

-90 + 54r

300

Simplify

7x - 4(- 2 + 3x) + 9

-5x + 17

400

A rectangle has a length of (2x + 5) and a width of 4.

Write an expression for its area.

8x + 40

500

A triangle has a base of 2x + 8 and a height of 6.

Find the area as a simplified algebraic expression.

6x + 24

Evaluating Expressions

100

Evaluate 

x + 7, when x = 3

10

200

Evaluate

4x - 5, when x = 6

19

300

Given that, x = -4 and y = -2.

Evaluate: 2x + 3y

-14

400

Evaluate 

3m² - 2n³ - 5, when m = 4 and n = -2

59

500

Given that p = -3, q = 4 and r = -2

Evaluate: -2p² - 3q - 5r²

-50