Free Printable Lesson 1

1.

Given the function $g\left(x\right)=5x+3$ , find $g\left(-1\right)$

a)

3

b)

2

c)

-2

d)

-3

2.

Given the function $g\left(x\right)=5x+3$ , find $g^{-1}\left(2\right)$

a)

-5

b)

5

c)

- 1/5

d)

1/5

3.

Express $\frac{3}{x}-\frac{5}{x^2}=1$ in the form of $ax^{2\ }+bx+c=0$ .

Hence, state the values of a, b, and c.

a)

a = -1

b = -3

c = 5

b)

a = 1

b = -3

c = 5

c)

a = -1

b = -3

c = -5

d)

a = 1

b = -3

c = -5

4.

Given a quadratic function $f\left(x\right)=-2\left(x-4\right)^2+8$ .

State the coordinates of the turning point of the graph f(x).

a)

(4,8)

b)

(-4,8)

c)

(2,8)

d)

(-2,8)

5.

Given a quadratic function $f\left(x\right)=-2\left(x-4\right)^2+8$ .

Find the range of values of f(x) for $2\le x\le6$ .

a)

0 < f(x) < 4

b)

4 < f(x) < 8

c)

2 < f(x) < 4

d)

0 < f(x) < 8

6.

Solve the equation $\left(3x\right)^3\times\left(9x\right)^{-1}=\sqrt[]{x^3}$

a)

1/9

b)

1

c)

9

d)

-9

7.

Simplify $\log_a1$

a)

0

b)

1

c)

a

d)

1/a

8.

Simplify $\log_m\sqrt[]{m}+\log_n\sqrt[3]{n}+\log_42$

a)

3/4

b)

4/3

c)

1/2

d)

3/2

9.

Simplify $\log_39+\log_327$

a)

-1

b)

1

c)

5

d)

4

10.

Diagram 1.1 show the scale of a micrometer screw gauge when the anvil and spindle are closed. Diagram 1.2 shows the scale of the micrometer screw gauge when it is measuring the thickness of s piece of glass.

What is the zero error of the micrometer screw gauge and the actual thickness of the glass?

a)

Zero Error: -0.02mm

Actual thickness: 12.84mm

b)

Zero Error: -0.02mm

Actual thickness: 12.86mm

c)

Zero Error: +0.02mm

Actual thickness: 12.84mm

d)

Zero Error: +0.02mm

Actual thickness: 12.86mm

11.

Pushing a child on a swing is easier than pushing an adult on the same swing, because the adult has more mass and requires more force to accelerate.

a)

Newton's 1st Law

b)

Newton's 2nd Law

c)

Newton's 3rd Law

12.

A projectile can accelerate in the _________ direction.

a)

horizontal

b)

vertical

c)

horizontal and vertical

13.

Which statement is correct about the wave shown in the diagram?

a)

It is a transverse wave because the particles are moving parallel to the motion of the wave.

b)

It is a transverse wave because the particles are moving perpendicular to the motion of the wave.

c)

It is a longitudinal wave because the particles are moving perpendicular to the motion of the wave.

d)

It is a longitudinal wave because the particles are moving parallel to the motion of the wave.

14.

A water wave has a period of 0.25 seconds and a wavelength of 0.6 meters. What is the speed of the wave?

a)

2.4 m/s

b)

0.15 m/s

c)

0.85 m/s

d)

2.1 m/s

15.

Whenever there is complete destructive interference between two coherent wave trains, the waves must be

a)

in phase

b)

out of phase by one wavelength

c)

out of phase by half of a wavelength

d)

out of phase by a quarter of a wavelength

16.

The force of gravity on a person or object on the surface of a planet is called

a)

terminal velocity

b)

mass

c)

free fall

d)

weight

17.

Compare the acceleration of the 1-kg object with that of the 2-kg object.

a)

1kg object has less acceleration because it has less mass

b)

2kg object has more acceleration because it has more mass

c)

1kg object has more acceleration because it has less mass

d)

2kg object has less inertia because it has more mass

18.

At which position does the child on the swing have the most gravitational potential energy?

a)

W

b)

X

c)

Y

d)

Z

Lesson 1 - Review

Total questions: 18

Worksheet time: 2hrs 30mins

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