Integrated Algebra Regents - January 2010

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High School Math based on the topics required for the Regents Exam conducted by NYSED. Find the equation of a line given two points, Find the equation of the axis of symmetry of a parabola, Which relation represents a function?

January 2010 Integrated Algebra Regents

Algebra 1 Regents - Question #13
Find the equation of a line given two points Algebra 1 Regents - Question #14

The question asks " Which data table represents univariate data?"

Univariate data involves a single variable. It does not deal with causes or relationships. Some examples are frequency distributions, bar graph, histogram, pie chart, line graph, box-and-whisker plot.

Bivariate data involves two variables. It deals with correlations or comparisons where one variable is dependent on the other variable

The correct answer is table 3 because it represents a frequency distribution.
Tables 1, 2 and 4 are bivariate data because the data in the second column is dependent on the data in the first column. For example the side length of a square will affect the area of the square.

Algebra 1 Regents - Question #15
Find the equation of the axis of symmetry of a parabola

Algebra 1 Regents - Question #16
Solve for a variable Algebra 1 Regents - Question #17

Since the variable a is negative, it will change the graph from being above the x-axis (positive) to below the x-axis (negative).

Since -1 < a < 0, multiplying by a would make the absolute value of y smaller.

The correct answer is 3 where the graph is negative and the graph is "flattened" because the absolute value of y is reduced.

Algebra 1 Regents - Question #18
Which relation represents a function?