Free Printable Challenge Activity 3

1.

It is a polynomial equation of degree two that can be written in the form $ax^2+bx\ +\ c\ =0$ , where a, b and c are real numbers and a ≠ 0.

a)

linear equation

b)

quadratic equation

c)

linear inequality

d)

quadratic inequality

2.

Which of the following equation is a quadratic equation?

a)

$x^2+2x-3=0$

b)

$5x-3=15$

c)

$3x^2+2x-1=0$

d)

$3x+2x=0$

3.

Write the quadratic equation $ax^2+bx+c=0$ if the value of a = 2, b = -3 and c = 4.

a)

$-2x^2+3x-4=0$

b)

$-2x^2-3x+5=0$

c)

$2x^2-3x+4=0$

d)

$2x^2-3x-4=0$

4.

Which of the following is NOT quadratic equation?

a)

$x^2-2x+3=0$

b)

$(x-2)(x+2)=0$

c)

$3(x+4)=0$

d)

$5x^2+6x-7=0$

5.

Which of the following is true?

a)

$2^3=6$

b)

$3^2=9$

c)

$2^{-5}=-10$

d)

$4^0=0$

6.

Write the quadratic equation in standard form $ax^2+bx+c=0$ and identify the values of a, b, and c.

What is the standard form of the equation given: $3-2x^2=5x$ ?

a)

$-2x^2-5x+3=0$

b)

$-2x^2+5x+3=0$

c)

$2x^2-5x+3=0$

d)

$2x^2+5x-3=0$

7.

Write the quadratic equation in standard form $ax^2+bx+c=0$ and identify the values of a, b, and c.

What is the value of a in the equation: $3-2x^2=5x$ ?

a)

3

b)

- 2

c)

- 5

d)

5

8.

Write the quadratic equation in standard form $ax^2+bx+c=0$ and identify the values of a, b, and c.

What is the value of b in the equation: $3-2x^2=5x$ ?

a)

3

b)

- 2

c)

- 5

d)

5

9.

Write the quadratic equation in standard form $ax^2+bx+c=0$ and identify the values of a, b, and c.

What is the value of c in the equation: $3-2x^2=5x$ ?

a)

3

b)

- 2

c)

- 5

d)

5

10.

Write the quadratic equation in standard form $ax^2+bx+c=0$ and identify the values of a, b, and c.

What is the standard form of the equation given: $-2x^2-3x-4=0$ ?

a)

$-2x^2-3x-4=0$

b)

$2x^2-3x-4=0$

c)

$2x^2-3x+4=0$

d)

$-2x^2+3x-4=0$

11.

Write the quadratic equation in standard form $ax^2+bx+c=0$ and identify the values of a, b, and c.

What is the value of a in the equation: $-2x^2-3x-4=0$ ?

a)

- 2

b)

2

c)

- 3

d)

- 4

12.

Write the quadratic equation in standard form $ax^2+bx+c=0$ and identify the values of a, b, and c.

What is the value of b in the equation: $-2x^2-3x-4=0$ ?

a)

- 2

b)

2

c)

- 3

d)

- 4

13.

Write the quadratic equation in standard form $ax^2+bx+c=0$ and identify the values of a, b, and c.

What is the value of c in the equation: $-2x^2-3x-4=0$ ?

a)

- 2

b)

2

c)

- 3

d)

- 4

14.

In $5^4$ , 5 is the base and 4 is the ___________________.

a)

degree

b)

exponent

c)

base

d)

number

15.

Which law of exponents is applied in the statement $(2x)^3=8x^3$ ?

a)

$a^m\ \cdot a^n\ =\ a^{m+n}$

b)

$\frac{a^m}{a^n}=a^{m-n}$

c)

$\left(a^m\right)^n=a^{mn}$

d)

$\left(xy\right)^n=x^ny^n$

16.

$(3y)^3$ is equal to

a)

$9y^3$

b)

$27y^3$

c)

$6y^3$

d)

$27y$

17.

Simplify $(2^2)^3$ .

a)

64

b)

32

c)

12

d)

8

18.

Simplify $(4y^3)(5y)$ .

a)

$20y^3$

b)

$20y$

c)

$20y^2$

d)

$20y^4$

19.

It is an exponent that is a fraction written in the form $a^{\frac{m}{n}}$ with base a and exponent $\frac{m}{n}$ where m and n are integers and n ≠ 0.

a)

rational exponent

b)

positive exponent

c)

zero exponent

d)

negative exponent

20.

Which of the following expression has rational exponent?

a)

$b^2$

b)

$\frac{1}{2^5}$

c)

$(10𝑎^3𝑏^5)^0$

d)

$3^{\frac{3}{2}}$

21.

Exponential expressions are said to be in simplest form if:

a)

all the exponents are positive

b)

all fractions are in simplest form

c)

there are no powers of powers

d)

all of the above

22.

Which of the following is true?

a)

$5^{\frac{2}{3}}+5^{\frac{1}{3}}=5^3$

b)

$\frac{2^{\frac{6}{5}}}{2^{\frac{2}{5}}}=2^{\frac{4}{5}}$

c)

$(3^2)^{\frac{3}{2}}=3^2$

d)

$(2^0)^{\frac{1}{2}}=\frac{1}{2}$

23.

Simplify: $(a^{\frac{2}{5}})^{\frac{1}{5}}$

a)

$a^{\frac{2}{25}}$

b)

$a^{\frac{3}{5}}$

c)

$a^{\frac{1}{25}}$

d)

$a^{\frac{3}{25}}$

Challenge Activity 3

Total questions: 23

Worksheet time: 15mins

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