Pre-Algebra Midterm Review

The ordered pair (0,0) represents the location of the​ (a)  

A letter that stands for a number in an expression is a(n) ​ (b)  

The vertical axis in the coordinate plane is known as the ​ (c)  

The coordinate plane is divided into four ​ (d)  

• origin
• coordinate plane
• variable
• integer
• y axis
• x axis
• quadrants
• halves

Graph the following points:

the origin

(2,4)

(-1,6)

(-8,-3)

(6,-6)

Answer explanation

Remember, ordered pairs are written (x,y) where x is the point's location along the x axis and y is the point's location along the y axis.

All whole numbers and their opposites are ​ (a)  

The distance that a number is from zero on the number line is the ​ (b)   of that number

A value that makes an equation true ​ (c)  

The number that multiplies a variable ​ (d)  

• integers
• fractions
• real numbers
• absolute value
• coordinate
• evaluate
• solution
• coefficient
• term

Organize these options into the right category

Groups:

(a) Commutative Property

,

(b) Associative Property

,

(c) Additive Identity

,

(d) Multiplicative Identity

Answer explanation

The commutative property allows us to change the order in which we add and multiply terms.

The associative property allows us to change the grouping of terms we are adding or multiplying.

The identity properties tell us we can multiply any number by 1 and our number remains unchanged. We can also add 0 to a number and our number remains unchanged.

Match the following distribution problems with their solution.

Answer explanation

The distributive property tells us to multiply every term within the parenthesis by the term touching the parenthesis.

For example: 5(x+1) tells us we need to multiply both the x and 1 by 5. As a result we get 5x + 5

Write an inequality to describe the graph

Answer explanation