Free Printable STO Practice

1.

Which expression is equivalent $x^2-17x-60$

a)

$\left(x-20\right)\left(x+3\right)$

b)

$\left(x-20\right)\left(x-3\right)$

c)

$\left(x-5\right)\left(x-12\right)$

2.

Which function is equivalent to $g\left(x\right)=x^2+15x-54?$

a)

$g\left(x\right)=\left(x+9\right)\left(x-6\right)$

b)

$g\left(x\right)=\left(x+18\right)\left(x-3\right)$

c)

$g\left(x\right)=\left(x-9\right)\left(x+6\right)$

3.

Which function is equivalent to $y=9x^2-24x+16$ ?

a)

$y=\left(3x+4\right)^2$

b)

$y=\left(9x+4\right)\left(x+4\right)$

c)

$y=\left(3x-4\right)^2$

4.

Which function is equivalent to $f\left(x\right)=-4\left(x+7\right)^2-6$ ?

a)

$f\left(x\right)=-4x^2-56x-202$

b)

$f\left(x\right)=-4x^2+14x+43$

c)

$f\left(x\right)=-4x^2+190$

5.

Add the following polynomials:
(x³-2x²+3)+(2x³+3x²-1)

a)

3x³-2x²+3x+2

b)

3x³+x²+2

c)

3x³-5x²-2

d)

3x³-x²+1

6.

Add the following polynomials
(x³-6x²+3)+(3x³+4x-1)

a)

4x³-2x²+2

b)

4x³-6x²+4x+2

c)

-2x³+2x+2

d)

4x³-2x²-2

7.

Subtract the following polynomials:
(3x²-3x+2)-(x²-2x+1)

a)

2x²+x+1

b)

2x²-5x+3

c)

2x²-x+1

d)

4x²-5x+3

8.

(e + 7)(e + 9)

a)

e² + 63e + 16

b)

e² + 16e + 63

c)

e² + 79

d)

e² + 16e + 2

9.

(e - 3)(e +10)

a)

e² - 7e + 13

b)

e² - 6e - 30

c)

e² + 7e - 30

d)

e² + 13e + 30

10.

Multiply
(4x+3)(2x-1)

a)

8x²-2x-3

b)

8x-3

c)

8x²+6x-3

d)

8x²+2x-3

11.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

12.

a)

5p²- 16p

b)

5p + 4

c)

5p - 4

d)

5p + 4p

13.

Divide the polynomial by the monomial.

a)

2x⁸-8x²-28x

b)

2x⁸-2x²-7x

c)

8x⁷-8x-28x

d)

2x⁷-2x -7

14.

Divide:

(4x² - 24x + 35) / (2x - 5)

a)

2x - 7

b)

2x - 12

c)

2x + 12

d)

2x + 7

15.

Find the quotient when (21x²- 52x + 32) is divided by (7x - 8).

a)

3x + 4

b)

3x + 3

c)

3x - 4

d)

3x + 2

16.

(x³)(x²)

a)

x^-5

b)

x^-6

c)

x⁶

d)

x⁵

17.

(x²)³

a)

x⁵

b)

x⁶

c)

x¹

d)

x^-1

18.

(2x²)²(3x³)³

a)

36x¹⁰

b)

36x¹³

c)

96x¹³

d)

96x¹⁰

19.

a)

x¹²

b)

x^-12

c)

x²

d)

x^-2

20.

a)

w

b)

w^-1= 1/w

c)

-w

d)

w¹⁷

21.

According to exponent rules, when we multiply terms with the same base we _______ the exponents.

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

22.

According to exponent rules, when we divide the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

23.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

24.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

25.

$7x^0$

a)

1

b)

7

c)

$x^7$

d)

$x^{-7}$

26.

a)

$4w^3z$

b)

$\frac{w^3z}{4}$

c)

$\frac{4}{w^3z}$

d)

$4wz^3$

27.

a)

$5a^{12}b^4$

b)

$5a^{32}b^{10}$

c)

$\frac{a^{12}b^4}{5}$

d)

$\frac{5}{a^{12}b^4}$

28.

Simplify

x⁻⁶

a)

$\frac{1}{x^6}$

b)

x⁶

c)

-x⁶

d)

$\frac{-1}{x^6}$

29.

Rewrite using a positive exponent.

2w^-13

a)

-w¹³

b)

$\frac{2}{w^{13}}$

c)

$\frac{2}{w^{-13}}$

d)

$2w^{13}$

30.

Simplify

a)

$\frac{7a^5}{b^3}$

b)

$\frac{b^3}{7a^5}$

c)

$\frac{7b^3}{a^{-5}}$

d)

$\frac{7b^3}{a^5}$

31.

Simplify. Hint: do product rule first, then negative rule!

a)

$42x^5$

b)

$\frac{42}{x^5}$

c)

$\frac{42}{x^{-5}}$

d)

$\frac{1}{42x^5}$

32.

$\left(\frac{x^5}{x^7}\right)^2$ Click on the play button if you need a hint.

a)

$x^4$

b)

$x^{24}$

c)

$x^{-4}$

d)

$x^5$

33.

Simplify using your exponent rule(s) (2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

34.

a)

$\frac{27x^{15}z^3}{y^6}$

b)

$\frac{9x^{15}z^3}{y^6}$

c)

$27x^8yz^4$

d)

$\frac{27x^8z^4}{y}$

35.

Simplify so there are no negative exponents in the answer.

\left(3n^3\right)^{-3}

a)

$\frac{1}{27n^9}$

b)

$\frac{-27}{n^9}$

c)

$\frac{-27}{n^6}$

d)

$\frac{-9}{n^6}$

36.

Simplify so there are no negative exponents in the answer.

\frac{3x^3\cdot4x^4}{x^2}

a)

$12x^5$

b)

$12x^9$

c)

$7x^5$

d)

$7x^4$

37.

If f(x)=2(3^x)+1, what is the value of f(2)?

(Substitute and be careful with order of operations)

a)

19

b)

37

c)

13

d)

20

38.

Evaluate f(2):

f(x)=3x+1

a)

7

b)

9

c)

11

d)

13

39.

a)

84

b)

92

c)

116

d)

64

40.

Evaluate the function for the given value:

a)

-5

b)

63

c)

450

d)

5

41.

If f(x) = 2x² + 5x - 3, evaluate f(-1).

a)

f(-1) = -6

b)

f(-1) = 1

c)

f(-1) = -10

d)

f(-1) = -1

42.

3(x - 3) ≤ 2(x + 2)

a)

x ≤ -5

b)

x ≥ 5

c)

x ≥ 13

d)

x ≤ 13

43.

a)

x > 3

b)

x ≤ ⅕

c)

x ≥ 3

d)

x ≤ ⅕

44.

a)

y < -x - 5

b)

y > -x - 5

c)

y ≤ -x - 5

d)

y ≥ -x - 5

45.

a)

y < 5x + 1

b)

y > 5x + 1

c)

y ≤ 5x + 1

d)

y ≥ 5x + 1

STO Practice

Total questions: 45

Worksheet time: 10hrs 25mins

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