Free Practice Quiz Question List

1 - Mathematical Foundations for Algebra-Based Physics Online Quiz Questions

Use this free practice quiz with 20 questions to review 1 - Mathematical Foundations for Algebra-Based Physics, test your knowledge, and prepare for your next test or exam.

20 questions

Choose one

1 point

Which factor does the SI prefix micro- represent?

A
$10^{-3}$
B
$10^{-6}$
C
$10^{3}$
D
$10^{6}$

True or false

1 point

If right is chosen as the positive direction, a displacement of $-4.0\ \text{m}$ indicates a displacement of 4.0 m to the left.

A
True
B
False

Choose one

1 point

A proposed constant-acceleration equation is $v_f=v_i+at$ . Which statement correctly evaluates its dimensional consistency?

A
The equation is dimensionally consistent because $[at]=[v_i]=[L]/[T]$ .
B
The equation is invalid because acceleration cannot be multiplied by time.
C
The equation is invalid because velocity and acceleration have identical dimensions.
D
The equation is consistent only when $a=0$ .

Choose one

1 point

What physical quantity is represented by the signed area under an acceleration-versus-time graph?

A
The displacement
B
The average acceleration
C
The change in velocity
D
The final position

Choose all

1 point

Select all statements that correctly describe vector components and coordinate systems.

A
A vector component can be negative if it points opposite the chosen positive direction.
B
Changing the coordinate system changes the physical vector itself.
C
For an angle measured above the positive $x$ -axis, $A_x=A\sin\theta$ .
D
Perpendicular components can be added to reconstruct the original vector.

Choose all

1 point

Select all statements that correctly apply proportional reasoning, assuming other relevant variables remain constant.

A
If $y\propto x$ and $x$ doubles, $y$ doubles.
B
If $y\propto x^2$ and $x$ doubles, $y$ doubles.
C
If $y\propto\frac{1}{x}$ and $x$ doubles, $y$ is divided by two.
D
A proportional relationship gives the same result even when all other relevant variables change.

True or false

1 point

A horizontal segment on a velocity-versus-time graph represents zero acceleration.

A
True
B
False

True or false

1 point

If an equation has matching dimensions on both sides, dimensional analysis proves that the equation is physically correct.

A
True
B
False

Written response

1 point

Convert $72\ \text{km/h}$ to a numerical value in $\text{m/s}$ .

Written response

1 point

What is the physics term for the slope at one point on a curved graph?

Fill in the blank

1 point

Complete the vector relationship for the magnitude of $\vec A$ from its perpendicular components: $A=$ .

Fill in the blank

1 point

Complete the statement: The signed area under an acceleration-versus-time graph gives the .

Open ended

1 point

Explain a reliable method for solving an algebra-based physics problem. Include how representations, symbolic algebra, units, precision, and estimation or other checks contribute to a trustworthy final result.

Choose one

1 point

Which SI base-unit expression is equivalent to one joule?

A
$\text{kg}\cdot\text{m}/\text{s}$
B
$\text{kg}\cdot\text{m}^2/\text{s}^2$
C
$\text{kg}/\text{m}\cdot\text{s}^2$
D
$\text{m}/\text{s}^2$

Choose one

1 point

Which proposed equation is dimensionally consistent if $v_i$ and $v_f$ are velocities, $a$ is acceleration, and $t$ is time?

A
$v_f=v_i+at$
B
$v_f=v_i+a$
C
$v_f=v_i+\frac{a}{t}$
D
$v_f=v_i+vt$

Written response

1 point

In the expression $\frac{10^5}{10^2}=10^n$ , what is the value of $n$ ?

Choose one

1 point

A cyclist travels at $72\ \text{km/h}$ . What is this speed in SI units?

A
$2.0\ \text{m/s}$
B
$20\ \text{m/s}$
C
$72\ \text{m/s}$
D
$259200\ \text{m/s}$

Choose one

1 point

What does a horizontal segment on a velocity-versus-time graph represent?

A
The object has zero velocity and increasing acceleration.
B
The object has increasing velocity and constant acceleration.
C
The object has constant velocity and zero acceleration.
D
The object has zero acceleration and decreasing velocity.

Choose one

1 point

A vector has magnitude $10\ \text{m}$ and points $30^\circ$ above the positive $x$ -axis. What is its vertical component?

A
$A_y=0\ \text{m}$
B
$A_y=5.0\ \text{m}$
C
$A_y=8.7\ \text{m}$
D
$A_y=10\ \text{m}$

Written response

1 point

An object moves in one dimension with an initial velocity of $3.0\ \text{m/s}$ , a constant acceleration of $2.0\ \text{m/s}^2$ , and a time interval of $4.0\ \text{s}$ . What is its final velocity? Enter the value in $\text{m/s}$ .