"Final" Final Semester 1 Study - Algebra 1

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. Solutions are the points where the equations intersect.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean if a system of equations has no solution?

Back

It means the lines representing the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if a system of equations has infinite solutions?

Back

It means the equations represent the same line, so every point on the line is a solution.

Tags

CCSS.8.EE.C.8A

Front

What is the absolute value of a number?

Back

The distance of that number from zero on the number line, always non-negative.

Tags

CCSS.6.NS.C.7C

Front

What is the solution to |x + 3| > -8?

Back

All real numbers, since absolute values are always greater than or equal to zero.

Front

How do you write a linear inequality in standard form?

Back

It is written as Ax + By ≤ C, where A, B, and C are constants.

Front

What is the standard form of the inequality for a budget of $81 with pizzas costing $13 and breadsticks $7?

Back

7x + 13y ≤ 81, where x is the number of breadsticks and y is the number of pizzas.

Front

What is the Associative Property of Addition?

Back

It states that the way in which numbers are grouped in addition does not change their sum: (a + b) + c = a + (b + c).

Tags

CCSS.1.OA.B.3

Front

What is the Commutative Property of Addition?

Back

It states that the order in which numbers are added does not change their sum: a + b = b + a.

Tags

CCSS.1.OA.B.3

Front

What is the Distributive Property?

Back

It states that a(b + c) = ab + ac, distributing a across the sum.

Tags

CCSS.6.EE.A.3