Quiz 1: The Beginning#

Name:#

Date:#

Score: /9#

Order of Operations#

  1. Simplify the following arithmetical expression:

\frac{(3*2^3-4)}{(2 \cdot 6 - 8)}

  1. Simplify the following arithmetical expression:

3 \cdot ( 3 \cdot 2 + 5) - 2 \cdot (2 \cdot 4 - 3)

Algebraic Expressions#

  1. Fill out the following table for the algebraic expression y = 2 \cdot x + 3 by substituting in the given value of x. After you fill out the table, plot the ordered pairs (x, y) on the graph below.

x

y = 2 \cdot x+3

0

1

2

3
../_images/cartesian_plane.png

Linear Equations#

For the next two problems you are given an equation of a line, y = m \cdot x + b.

  1. y = 3 \cdot x - 2

  1. What is the slope of this line?

  2. What is the y-intercept of this line?

Hint

The y-intercept is a point (x, y). What are the values of x and y at the y-intercept?

  1. Plot this line on the graph below,

../_images/cartesian_plane.png

  1. Label the y-intercept with the letter P on your graph.

  1. y = -2 \cdot x + 3

  1. What is the slope of this line?

  2. What is the y-intercept of this line?

Hint

See hint in #4.

  1. Plot this line on the graph below,

../_images/cartesian_plane.png

  1. Label the y-intercept with the letter P on your graph.

Distributive Property#

  1. Multiply and combine like terms:

(x + 3) \cdot (x - 5)

  1. Multiply and combine like terms:

(2 \cdot x + 3) \cdot ( 5\cdot x + 1 )

Factor By Grouping#

  1. Factor the following algebraic expression by grouping the terms together,

x^2 - 5 \cdot x - 2 \cdot x + 10

  1. Factor the following algebraic expression by grouping the terms together,

y^2 - 6 \cdot y + 2 \cdot y - 12