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Level 177

Expressions & Equations


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linear relationship
There is a constant rate of change. All points lie on a straight line.
y-intercept
the point where the line crosses the y-axis
Coefficient
the decimal part
Solution of an Equation
The value or values of the variables that make an equation true.
algebraic expression
An expression consisting of one or more numbers and variables along with one or more arithmetic operations
equivalent expressions
Two or more expressions that have the same value.
properties of equality
You maintain equality when you add, subtract, multiply, or divide each side of the equality by the same number.
point of intersection
The point where two lines intersect.
inequalities or inequality statement
A statement that two quantities are not equal. The symbols >, <, ≥, and ≤ are used to express inequalities.
associative property of addition
When the grouping of terms changes, the sum stays the same.
associative property of multiplication
When the grouping of factors changes, the products stays the same.
commutative property of addition
If the order of the terms changes, the sum stays the same.
commutative property of multiplication
If the order of factors changes, the product stays the same.
distributive property
Multiplying a sum by a number is the same as multiplying each term by the number and then adding (or subtracting ) the products.
inequality
A mathematical sentence that shows the relationship between quantities that are not equivalent
algebraic inequality
An inequality that contains at least one variable. Example: x+3>10; 5a>b+3
solution set
The set of values that make a statement true.
compound inequality
Two separate inequalities joined by AND or OR.
difference
the answer to a subtraction problem
quotient
the answer to a division problem