Fast Track Review U 1-4

Front

Solve the "and" inequality: -4 ≤ 2x - 2 ≤ 8

Back

The solution is -1 ≤ x ≤ 5.

Front

What does the inequality n ≥ -2 represent on a number line?

Back

It represents all numbers greater than or equal to -2, including -2.

Front

Multiply the complex numbers: (6 - 2i)(-3 + 4i)

Back

The result is -10 + 30i.

Front

Solve the system of equations using substitution: y = x + 3 and 7x - 2y = 14

Back

The solution is (4, 7).

Front

Solve the absolute value equation: 2|−2r − 4| = 12

Back

The solutions are {-5, 1}.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, or equal to the other.

Front

Define absolute value.

Back

Absolute value is the distance of a number from zero on the number line, regardless of direction.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.

Front

What does the solution (x, y) represent in a system of equations?

Back

It represents the point where the two lines intersect on a graph.

Front

What is a complex number?

Back

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit.