Semester 1 Exam F'24

Front

Name the sets of number to which 0 belongs.

Back

0 belongs to the sets: whole, integer, rational, real.

Front

Find the range of the relation \left\{\left(-2, 3\right), \left(-1, 3\right), \left(-1, 5\right)\right\}. Then determine whether the relation is a function.

Back

The range is \left\{3, 5\right\}; it is not a function.

Front

Find the slope of the line that passes through \left(0, 2\right) and \left(8, 8\right).

Back

The slope is \frac{3}{4}.

Front

Simplify 2\left(x+3\right)+5\left(2x-1\right).

Back

The simplified expression is 12x + 1.

Front

Which equation is linear?

Back

The linear equation is y = x - 2.

Front

Define a rational number.

Back

A rational number is any number that can be expressed as the quotient or fraction \frac{a}{b}, where a and b are integers and b ≠ 0.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = \frac{y_2 - y_1}{x_2 - x_1}.

Front

What is the range of a set of ordered pairs?

Back

The range is the set of all second elements (y-values) from the ordered pairs.

Front

What is the difference between a linear and a non-linear equation?

Back

A linear equation graphs to a straight line, while a non-linear equation graphs to a curve.