Free Printable Mid Year Review

1.

Solve:

12x - 4y = 20 , for y

a)

y = 3x - 5

b)

y = -3x + 5

c)

y = -3x - 5

d)

y = 3x + 5

2.

Solve:
V = πr²h , for h

a)

V/(πr²) = h

b)

V - πr² = h

c)

V + πr² = h

d)

V/π = h

3.

Solve the following systems of equations using substitution:

5x - 2y = 3

y = 2x

a)

(6, 3)

b)

(1, 2)

c)

(3, 6)

d)

(2, 1)

4.

Solve the following systems of equations using substitution:

y = 3 - x

3y + x = 5

a)

No solution

b)

(1, 2)

c)

(3, 0)

d)

(2, 1)

5.

Simplify:
(3 + 2i) + (4i + 6)

a)

9 + 6i

b)

7i + 8

c)

9 + 6i²

d)

9 - 6i

6.

Simplify:
-3i(4 + 2i)

a)

6 - 12i

b)

6 + 12i

c)

-12i - 6i²

d)

-12i + 6i²

7.

Simplify:
(2 - 3i)(5 + 4i)

a)

22 - 7i

b)

22 + 7i

c)

22 - 7i²

d)

22 + 7i²

8.

What is the complex conjugate of 4-3i?

a)

A. 1/(4-3i)

b)

B. 1/(4+3i)

c)

C. -4 + 3i

d)

D. 4 + 3i

9.

Simplify.

a)

b)

c)

d)

10.

a)

10

b)

-10

c)

10i

d)

-10i

11.

Factor:

x² + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 12)(x + 2)

c)

(x - 8)(x - 3)

d)

(x + 8)(x + 3)

12.

Find GCF of 22x³+11x²

a)

11x

b)

11x²

c)

22x

d)

22x²

13.

Factor: 5n² - 6n - 27

a)

(5n + 3)(n-9)

b)

(5n - 3)(n + 9)

c)

(5n + 9)(n - 3)

d)

(5n - 9)(n + 3)

14.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

15.

When is this function increasing?

a)

−2.5 < x < 2.5

b)

0 < x < 5

c)

0 < x < 55

d)

−5 < x < 0

16.

What are all the x-intercepts?

a)

(−2.55, 0), (2.55, 0)

b)

(−3,0), (−2,0), (2,0), (3,0)

c)

(0, 36)

d)

(−∞,∞)

17.

What is the domain of the graph?

a)

-7 ≤ x < 5

b)

-3 ≤ x < 1

c)

-3 ≤ y < 1

d)

-7 ≤ y < 5

18.

What is the range?

a)

-4 < x ≤ 5

b)

-4 ≤ x < 5

c)

-3 < y < 3

d)

-3 ≤ y ≤ 3

19.

In the equation 4p - 10 - 2p = 16, what is p equal to?

a)

2

b)

6

c)

13

20.

Solve for y:

7 - 5(y - 2) = 1 + 4y

a)

y = 16/9

b)

y = 36/x

c)

y=3/4

21.

How do you say Hello in Spanish?

a)

Hola

b)

Amiga

c)

Holae

d)

Hoala

22.

Which of the following is not a Spanish speaking country?

a)

Spain

b)

Cuba

c)

Japan

d)

Honduras

23.

Find the axis of symmetry for
f(x) = x²- 8x + 15.

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

24.

Find the vertex of
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

25.

What is the vertex?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

26.

What is the vertex of y= x²- 8x + 14 ?

a)

(2, 4)

b)

(-4, -2)

c)

(4, -2)

d)

(-2, 4)

27.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

28.

Simplify: (2x⁴-4x²+5x+2) ÷ (x+2)

a)

2x³-8x²+21-40+56/(x+2)

b)

2x³-8x²+16x-27+ 52/(x+2)

c)

2x³-8x²+16x-27+56/(x+2)

d)

2x²-8x+21-40/(x+2)

29.

Factor 9x²-64

a)

(3x-8)(3x+8)

b)

(2x-8)(2x+8)

c)

(3x-4)(3x+4)

d)

(3x-8)²

30.

How many real solutions does x²-8x+16 = 0 have?

a)

0

b)

1

c)

2

d)

infinitely many

31.

Find the value of the discriminant: 4x²-7x+8

a)

√79

b)

√-79

c)

-79

d)

-7±i√79/8

32.

Write the equation in vertex form:
y = -2x²+16x+4

a)

y=-2(x-4)²+4

b)

y =-2(x+4)²+36

c)

y=-2(x+4)²+4

d)

y =-2(x-4)²+36

33.

Solve: (x-4)²-18 = 0

a)

x = 4 + 3√2

b)

x = 8.24, -.24

c)

x = 4 ± 3√2

d)

x = 4 ± √18

34.

The quadratic whose roots are -3 and 4.

a)

x²+x-12

b)

x²-x + 12

c)

x²+x+12

d)

x²-x-12

35.

What is the value: √-9 ⋅ √-16

a)

-12

b)

12i²

c)

12i

d)

-12i

36.

What is the vertex:
y = 2(x-3)²+18

a)

(-3,-18)

b)

(3,-18)

c)

(-3,18)

d)

(3,18)

37.

Given f(x) = 3x - 2 and g(x) = x²-5. Find: (f-g)(2)

a)

5

b)

0

c)

4

d)

2

38.

what is the meaning of bonjour

a)

good morning

b)

hello

c)

bye

d)

good evening

39.

Some months have 31 days. How many have 28?

a)

1

b)

3

c)

12

d)

6

40.

Mary is living in the United Stated. Why can't she be buried in the United Kingdom?

a)

Its toooo far

b)

Shes LIVING in the US

c)

Its the UKs rules

d)

she dosnt want to

41.

Some months have 31 days. How many have 28?

a)

1

b)

3

c)

6

d)

12

42.

√24

a)

4√6

b)

2√6

c)

6√2

d)

2√12

43.

Simplify

a)

x²y√xy

b)

xy

c)

x²y²

d)

Can't Simplify

44.

Rewrite using radicals:
y^3/2

a)

∛y²

b)

√y³

c)

3/2√y

d)

2/3√y

45.

a)

11√5

b)

11√10

c)

5√5

d)

12√10

46.

a)

13√3

b)

10√30

c)

13√6

d)

11√3

47.

√5 × √10

a)

50

b)

2√5

c)

5√2

d)

5√10

48.

Simplify:

a)

1/5

b)

20/100

c)

2/10

d)

1/√25

49.

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

50.

f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))

a)

-42

b)

-26

c)

-18

d)

None of these.

51.

If f(x) = x² and g(x) = 3x - 1, find f(g(x))

a)

9x² - 6x + 1

b)

3x - 1

c)

3x² - 1

d)

9x² - 1

52.

If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?

a)

7

b)

-2

c)

-9

d)

-10

53.

f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))

a)

-42

b)

-26

c)

-18

d)

None of these.

54.

In the USA, most students at high schools play...

a)

hockey

b)

American football

c)

soccer

d)

rugby

55.

Children in Great Britain have to...

a)

wear black T-shirts

b)

wear uniforms

c)

go to school on Saturday

d)

ride a bike to school

56.

Most schools in Japan do not have cleaning ladies or janitors. Who does all their work?

a)

pupils

b)

teachers

c)

parents

d)

pupils´ grandparents

57.

How many pupils are there in an average class in China?

a)

about 100

b)

about 50

c)

about 200

d)

about 25

58.

What is the first step when factoring polynomials?

a)

Find the GCF

b)

List all the terms

c)

Make the X and fill in the top and bottom

d)

Multiply a and c

59.

Which of the following is a factor of x²-10x+24?

a)

x-4

b)

x+4

c)

x+6

d)

x-2

60.

Solve for X:

(x-5)(x+6)=0

a)

{5,5 }

b)

{ -5,-5 }

c)

{ -5,-6 }

d)

{5,-6 }

61.

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

62.

Factor Completely:
3x² + 18x +15

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

63.

Factor:
2x² + 11x + 14

a)

(x + 7)(2x + 2)

b)

(x + 2)(2x + 7)

c)

(x + 14)(2x + 1)

d)

(x + 1)(2x + 14)

64.

Factor:x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

65.

$x^2-100=0$

a)

$\left\{25,4\right\}$

b)

$\left\{-50,2\right\}$

c)

$\left\{-10,10\right\}$

d)

$\left\{0,100\right\}$

Mid Year Review

Total questions: 65

Worksheet time: 3hrs 26mins

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