Free Printable Equation Practice

1.

Give the equation with links mass, velocity, and kinetic energy.

a)

$E_{k\ }=\frac{1}{2}mv^2$

b)

$E_{k\ }=mv^2$

c)

$E_{k\ }=\frac{1}{2}mv^{ }$

d)

$E_{k\ }=2mv^2$

2.

Which equations (select more than one) correctly link mass, velocity, and kinetic energy?

a)

$E_{k\ }=\frac{1}{2}mv^2$

b)

$m=\frac{2E_{k\ }}{v^2}$

c)

$v\ =\ \sqrt{\frac{2E_k}{m}}$

d)

$m=\frac{\frac{1}{2}E_{k\ }}{v^2}$

e)

$v\ =\ \frac{2E_k}{m}$

3.

In the equation $E_{k\ }=\frac{1}{2}mv^2$ , what happens to $E_k$ if $m$ increases?

a)

increases at a constant rate (directly proportional)

b)

increases at an increasing rate

c)

decreases at a decreasing rate (inversely proportional)

d)

decreases at a constant rate

e)

increases at a decreasing rate

4.

In the equation $E_{k\ }=\frac{1}{2}mv^2$ , what happens to $E_k$ if $v$ increases?

a)

increases at a constant rate (directly proportional)

b)

increases at an increasing rate

c)

decreases at a decreasing rate (inversely proportional)

d)

decreases at a constant rate

e)

increases at a decreasing rate

5.

Which is true of the y variable in relation to the x variable in the graph?

a)

increases at a constant rate (directly proportional)

b)

increases at an increasing rate

c)

decreases at a decreasing rate (inversely proportional)

d)

decreases at a constant rate

e)

increases at a decreasing rate

6.

Which is true of the y variable in relation to the x variable in the graph?

a)

increases at a constant rate (directly proportional)

b)

increases at an increasing rate

c)

decreases at a decreasing rate (inversely proportional)

d)

decreases at a constant rate

e)

increases at a decreasing rate

7.

Which is true of the y variable in relation to the x variable in the graph?

a)

increases at a constant rate (directly proportional)

b)

increases at an increasing rate

c)

decreases at a decreasing rate (inversely proportional)

d)

decreases at a constant rate

e)

decreases at an increasing rate

8.

Which is true of the y variable in relation to the x variable in the graph?

a)

increases at a constant rate (directly proportional)

b)

increases at an increasing rate

c)

decreases at a decreasing rate (inversely proportional)

d)

decreases at a constant rate

e)

decreases at an increasing rate

9.

Which is true of the y variable in relation to the x variable in the graph?

a)

increases at a constant rate (directly proportional)

b)

increases at an increasing rate

c)

decreases at a decreasing rate (inversely proportional)

d)

decreases at a constant rate

e)

decreases at an increasing rate

10.

Which is true of the y variable in relation to the x variable in the graph?

a)

increases at a constant rate (directly proportional)

b)

increases at an increasing rate

c)

decreases at a decreasing rate (inversely proportional)

d)

decreases at a constant rate

e)

decreases at an increasing rate

11.

Which is true of the y variable in relation to the x variable in the graph?

a)

increases at a constant rate (directly proportional)

b)

increases at an increasing rate

c)

decreases at a decreasing rate (inversely proportional)

d)

decreases at a constant rate

e)

increases at a decreasing rate

12.

Which is true of the y variable in relation to the x variable in the graph?

a)

increases at a constant rate (directly proportional)

b)

increases at an increasing rate

c)

decreases at a decreasing rate (inversely proportional)

d)

decreases at a constant rate

e)

increases at a decreasing rate

13.

Which is true of the y variable in relation to the x variable in the graph?

a)

increases at a constant rate (directly proportional)

b)

increases at an increasing rate

c)

decreases at a decreasing rate (inversely proportional)

d)

decreases at a constant rate

e)

decreases at an increasing rate

14.

Which is true of the y variable in relation to the x variable in the graph?

a)

increases at a constant rate (directly proportional)

b)

increases at an increasing rate

c)

decreases at a decreasing rate (inversely proportional)

d)

decreases at a constant rate

e)

decreases at an increasing rate

15.

Which is true of the y variable in relation to the x variable in the graph?

a)

increases at a constant rate (directly proportional)

b)

increases at an increasing rate

c)

decreases at a decreasing rate (inversely proportional)

d)

decreases at a constant rate

e)

decreases at an increasing rate

16.

Which is true of the y variable in relation to the x variable in the graph?

a)

increases at a constant rate (directly proportional)

b)

increases at an increasing rate

c)

decreases at a decreasing rate (inversely proportional)

d)

decreases at a constant rate

e)

increases at a decreasing rate

17.

Which is true of the y variable in relation to the x variable in the graph?

a)

increases at a constant rate (directly proportional)

b)

increases at an increasing rate

c)

decreases at a decreasing rate (inversely proportional)

d)

decreases at a constant rate

e)

decreases at an increasing rate

18.

Which of the following graphs shows the relationship between frequency and wavelength, if wave speed is constant. Frequency is plotted on the x-axis.

a)

b)

c)

d)

e)

19.

Which of the following shows a directly proportional relationship between x and y?

a)

b)

c)

d)

e)

20.

Which of the following shows a directly proportional relationship between x and y?

a)

b)

c)

d)

e)

21.

Which of the following shows a directly proportional relationship between x and y?

a)

b)

c)

d)

e)

22.

Which of the following shows an inversely proportional relationship between x and y?

a)

b)

c)

d)

e)

23.

Which of the following shows an inversely proportional relationship between x and y?

a)

b)

c)

d)

e)

24.

Which of the following shows an inversely proportional relationship between x and y?

a)

b)

c)

d)

e)

25.

Which of the following graphs shows the relationship between frequency and wave speed, if wavelength is constant. Frequency is plotted on the x-axis.

a)

b)

c)

d)

e)

26.

Which of the following graphs shows the relationship between wavelength and wave speed, if frequency is constant. Wavelength is plotted on the x-axis.

a)

b)

c)

d)

e)

27.

Give the equation with links spring constant, elastic potential energy, and extension.

a)

$E_{e\ }=\frac{1}{2}ke^2$

b)

$E_{e\ }=ke^2$

c)

$E_{e\ }=\frac{1}{2}ke^{ }$

d)

$E_{e\ }=2ke^2$

28.

Which equations (select more than one) correctly link elastic potential energy, spring constant, and extension?

a)

$E_{e\ }=\frac{1}{2}ke^2$

b)

$k=\frac{2E_{e\ }}{e^2}$

c)

$e\ =\ \sqrt{\frac{2E_e}{k}}$

d)

$k=\frac{\frac{1}{2}E_{e\ }}{e^2}$

e)

$e\ =\ \frac{2E_e}{k}$

29.

Which equations (select more than one) correctly link work done, force, and distance?

a)

$W\ =Fs$

b)

$F\ =\ \frac{W}{s}$

c)

$s\ =\ \frac{W}{F}$

d)

$s=\frac{F\ }{W}$

e)

$F\ =\ \frac{s}{W}$

30.

Which equations (select more than one) correctly link force, spring constant, and extension?

a)

$F\ =ke$

b)

$k\ =\frac{F}{e}$

c)

$e\ =\ \frac{F}{k}$

d)

$e=\frac{k\ }{F}$

e)

$k\ =\ \frac{e}{F}$

31.

Which equations (select more than one) correctly link efficiency, useful energy output, and total energy input?

a)

$effiency\ =\frac{useful\ energy\ output}{total\ energy\ input}$

b)

$useful\ energy\ output\ =\ \left(efficiency\right)\left(total\ input\ energy\right)$

c)

$total\ energy\ input=\frac{useful\ energy\ output}{efficiency}$

d)

$total\ energy\ input=\frac{efficiency}{useful\ energy\ output}$

e)

$effiency\ =\frac{total\ energy\ input}{useful\ energy\ output}$

32.

Which equations (select more than one) correctly link mass, gravitational potential energy, height, and gravitational field strength?

a)

$E_p\ =mgh$

b)

$m\ =\ \frac{E_p}{gh}$

c)

$h\ =\ \frac{E_p}{mg}$

d)

$g=\frac{E_p\ }{mh}$

e)

$m\ =\ \frac{gh}{E_p}$

33.

Which equations (select more than one) correctly link power, energy, and time?

a)

$E\ =Pt$

b)

$P\ =\ \frac{E}{t}$

c)

$t\ =\ \frac{E}{P}$

d)

$t=\frac{P}{E}$

e)

$P=\ \frac{t}{E}$

34.

Which of the following graphs shows the relationship between extension and force. Extension is plotted on the x-axis.

a)

b)

c)

d)

e)

35.

Which equations (select more than one) correctly link speed, distance, and time?

a)

$s\ =vt$

b)

$v\ =\ \frac{s}{t}$

c)

$t\ =\ \frac{s}{v}$

d)

$t=\frac{v}{s}$

e)

$v=\ \frac{t}{s}$

36.

Which of the following graphs shows the relationship between distance travelled and speed, if time is constant. Distance is plotted on the x-axis.

a)

b)

c)

d)

e)

37.

Which of the following graphs shows the relationship between time and speed, if distance travelled is constant. Time is plotted on the x-axis.

a)

b)

c)

d)

e)

38.

In the equation $F=ma$ , what happens to $F$ if $m$ increases, and $a$ remains constant?

a)

increases at a constant rate (directly proportional)

b)

increases at an increasing rate

c)

decreases at a decreasing rate (inversely proportional)

d)

decreases at a constant rate

e)

increases at a decreasing rate

39.

In the equation $F=ma$ , what happens to $F$ if $a$ increases, and $m$ remains constant?

a)

increases at a constant rate (directly proportional)

b)

increases at an increasing rate

c)

decreases at a decreasing rate (inversely proportional)

d)

decreases at a constant rate

e)

increases at a decreasing rate

40.

In the equation $F=ma$ , what happens to acceleration if force increases, and mass remains constant?

a)

increases at a constant rate (directly proportional)

b)

increases at an increasing rate

c)

decreases at a decreasing rate (inversely proportional)

d)

decreases at a constant rate

e)

increases at a decreasing rate

41.

In the equation $F=ma$ , what happens to acceleration if mass increases, and force remains constant?

a)

increases at a constant rate (directly proportional)

b)

increases at an increasing rate

c)

decreases at a decreasing rate (inversely proportional)

d)

decreases at a constant rate

e)

increases at a decreasing rate

42.

Which equations (select more than one) correctly link acceleration, force, and mass?

a)

$F=ma$

b)

$m\ =\ \frac{F}{a}$

c)

$a\ =\ \frac{F}{m}$

d)

$m=\frac{a}{F}$

e)

$a\ =\ \frac{m}{F}$

43.

Give the unit for acceleration.

a)

m/s

b)

s

c)

m/s²

d)

m

44.

Which of the following is the correct word and symbol equation for change in velocity, Δv?

a)

final velocity - initial velocity, v - u

b)

final velocity - initial velocity, u - v

c)

initial velocity - final velocity, u - v

d)

initial velocity - final velocity, v - u

45.

Which of the following links acceleration, change in velocity, and time?

a)

$a\ =\ \frac{v-u}{t}$

b)

$a\ =\ \frac{u-v}{t}$

c)

$a\ =t\left(v-u\right)$

d)

$a\ =\frac{t}{v-u}$

Equation Practice

Total questions: 45

Worksheet time: 23mins

Similar Resources on Wayground