Practice Parameter in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Worksheet PDF Free Answer-key PDF Family

Quick Recap

A parameter is a quantity in a mathematical expression that remains constant for a particular case but can change between cases. For example, in y = mx + b, the slope m and intercept b are parameters — each choice of m and b gives a different line.

In y=mx+b, m and b are parameters — different values give different lines.

Showing a random 20 of 50 problems.

Example 1

medium
In f(x)=asin⁡x, what role does a play?

Example 2

easy
In y=mx+5, which symbol is the variable input?

Example 3

hard
Find a and b if the parabola y=ax2+bx passes through (1,5) and (2,14).

Example 4

medium
For what value of c does the equation x2−6x+c=0 have a single (repeated) root?

Example 5

easy
In y=mx+b, name the parameters.

Example 6

medium
In the family of parabolas y=(x−h)2, what does the parameter h control?

Example 7

easy
Are the parameters m and b in y=mx+b the same for every line, or can they change between lines?

Example 8

medium
The line y=mx+2 passes through (3,8). Find the parameter m.

Example 9

medium
In the family y=mx+b, fix b=3 and vary m. What do all such lines have in common?

Example 10

medium
In the family y=a(x−2)2+3, find a if the parabola passes through (4,11).

Example 11

easy
In y=mx+b, for one fixed line, does b stay constant as x changes?

Example 12

easy
In f(x)=ax2, if a changes from 1 to 3, does the curve change?

Example 13

easy
In the family y=ax2, what does changing a do to the graph?

Example 14

medium
Solve for the parameter b: y=−2x+b passes through (4,1).

Example 15

easy
In y=mx+b with m=0, what kind of line results?

Example 16

hard
In the family y=a⋅2x, what does the parameter a represent?

Example 17

easy
In the equation y=3x+b, find b if the line passes through (0,−4).

Example 18

hard
For what values of k does the equation x2+kx+4=0 have two distinct real roots?

Example 19

easy
In y=mx+7, what does the parameter m control?

Example 20

easy
In the quadratic y=ax2+bx+c, how many parameters are there?
← Back to Parameter Worked Examples Formula Explained