Free Printable IM2A Review for final 2022-2023

1.

$2x\left(2x^3-3x+2\right)$

a)

$4x^4+6x^2+4x$

b)

$4x^4-6x^2-4x$

c)

$4x^4-6x^2+4x$

d)

$4x^4+6x^2-4x$

2.

(2x + 5y - z) + (-6x - 4y + 7z)

a)

-4x +6y + 6z

b)

4x + y + 6z

c)

-4x - y + 6z

d)

-4x + y + 6z

e)

None of these

3.

(5x⁴- 4x³- 2x² + x - 19) - (x⁴+ 5x³ + 8x² + x + 5)

a)

4x⁴- 9x³- 10x²- 24

b)

4x⁴- 9x³ - 10x²- 2x - 24

c)

4x⁴ - 9x³ - 10x² + 2x - 24

d)

-4x⁴ - 9x³ - 10x² - 24

4.

Name the polynomial by degrees and number of terms

$5x^4+8x^2-10x$

a)

quartic polynomial

b)

quartic binomial

c)

quartic monomial

d)

quartic trinomial

5.

25x⁵/5x³

a)

5x

b)

5x⁸

c)

-5x²

d)

5x²

6.

Perform the indicated operation:
2x + 3x

a)

5x

b)

x

c)

6x

d)

5x²

7.

Perform the indicated operation:
(x + 2) + (x + 3)

a)

x² + 5

b)

2x + 5

c)

x² + 5x

d)

x² + 5x + 6

8.

Classify by degree of polynomial:
3x³ – 6x

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

9.

Classify by number of terms:
12

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

10.

(4x+1)(5x−2)

a)

20x² + 3x − 2

b)

20x² − 11x + 5

c)

20x² − 18x + 2

d)

20x² − 3x − 2

11.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

12.

Multiply
(x+5)²

a)

x²+25

b)

x²-25

c)

x²+10x+25

d)

x²-10x+25

13.

x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Unfactorable

14.

4a² - 25

a)

(2a + 5) (2a - 5)

b)

(2a - 5) (2a - 5)

c)

(x + 5) (x - 5)

d)

Can't factor using Diff. of Squares

15.

$\left(x\ +\ y\right)^2$

a)

$x^2\ +\ y^2$

b)

$x^2\ +\ 2xy\ +y^2$

c)

$x^2-2xy\ +\ y^2$

d)

none of these

16.

$\left(2x\ +\ 1\right)^2$

a)

$4x^2\ +1$

b)

$2x^2\ +\ 2x\ +\ 1$

c)

$4x^2\ +\ 4x\ +1$

d)

$4x^2\ +\ 2x\ +\ 1$

17.

Solve the Following Quadratic Equations by factoring

$x^2-3x-28=0$ ?

a)

$\left\{4,\ -7\right\}$

b)

$\left\{-2,\ 14\right\}$

c)

$\left\{-4,\ 7\right\}$

d)

$\left\{-25,\ 28\right\}$

18.

Solve
x² + 2x - 24 = 0

a)

x = -6, x = 4

b)

x = 6, x = -4

c)

x = 12, x = -2

d)

x = 8, x = -3

19.

Write the expanded (general) form of the product (x+3)(x+6).

a)

x²+18x+9

b)

x²+9x+18

c)

x²+18x+18

20.

What is the GCF of the following?

12x^3+9yx

(a)

21.

x² = 16

a)

± 4

b)

± 8

c)

4

d)

8

22.

Solve by completing the square:

x^2-10x+3=0

4 lines

23.

Use quadratic formula to solve: $x^2+4x+3=0$

a)

$\left\{1,3\right\}$

b)

$\left\{-1,-3\right\}$

c)

$\left\{4,-3\right\}$

d)

$i\sqrt{3}$

24.

Simplify: $\sqrt{225}$

a)

15, -15

b)

20, -20

c)

25,- 25

d)

30, -30

25.

a)

i

b)

-1

c)

1

d)

-i

26.

Your Turn!

\sqrt{-9}

a)

$\pm3$

b)

$\pm3i$

c)

$\pm9i$

d)

$\pm9$

27.

$x^2+81=0$

a)

$\pm\sqrt{9i}$

b)

$\pm9$

c)

$\pm9i$

d)

$\pm3i$

28.

Find the sum.

(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

29.

$4i\left(-2-8i\right)$

(a)

30.

$\left(2+3i\right)\left(3+7i\right)$
*Distribute

a)

$6+21i^2$

b)

$-15+23i$

31.

a)

10

b)

-10

c)

10i

d)

-10i

32.

Q21. (-2 + 6i) - (-5 + 4i) + (-1 - 6i)

a)

2 - 4i

b)

-8 + 4i

c)

4 + 8i

d)

6 + 6i

33.

Solve the equation with the quadratic formula and fully simplify your answer.

a)

b)

c)

d)

34.

What is the conjugate of 2 - 7i ?

a)

7 + 2i

b)

2 + 7i

c)

-2 - 7i

d)

-2 + 7i

35.

Simplify:
-3i(4 + 2i)

a)

6 - 12i

b)

6 + 12i

c)

-12i - 6i²

d)

-12i + 6i²

36.

Solve by factoring: x² +14x +48 = 0

a)

x = -8 and x = 6

b)

x = -4 and x = 6

c)

x = 8 and x = 6

d)

x = -8 and x = -6

37.

Solve by factoring: x² + 3x - 18 = 0

a)

x = -3 and x = 6

b)

x = 3 and x = -6

c)

x = -9 and x = 2

d)

x = 9 and x = -2

38.

Solve:

x² - 49 = 0

a)

{-7 , 7}

b)

{-7}

c)

{7}

d)

{-7,1}

39.

$i^2=$

a)

$i$

b)

$-1$

c)

$-i$

d)

$1$

40.

$\sqrt{-64}$

a)

$8i$

b)

$-8$

c)

$8$

d)

$\pm8i$

41.

Simplify 2√-32

a)

2i√32

b)

4i√2

c)

8i√2

d)

-16i√2

42.

Simplify:
(10+ 15i)-(48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

43.

Find the sum.
(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

44.

Find the difference.
(6 - 8i) - (1 - 3i)

a)

9 + 5i

b)

5 - 11i

c)

5 - 5i

d)

7 + 5i

45.

Calculate (multiply):
(1 − 2i)(6 + 5i)

a)

16 − 7i

b)

-16 + 7i

c)

-16 − 7i

d)

16 + 7i

46.

A complex number can be expressed as a + bi. What does a represent?

a)

the real part of the complex number

b)

the imaginary part of the complex number

c)

depends on the sign of the number

d)

the square root of the complex number

47.

Find the value for the division of $\frac{2+9i}{1+2i}$

a)

$\frac{20+5i}{5}$

b)

$\frac{20+5i}{-3}$

c)

$\frac{4+18i}{5}$

d)

$\frac{4-18i}{-5}$

IM2A Review for final 2022-2023

Total questions: 47

Worksheet time: 2hrs 29mins

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