Free Printable Final Review #1

1.

a)

x = 12

b)

x = 24

c)

x = 144

d)

x = 121

2.

Solve $\sqrt{w}=\ 4$

a)

2

b)

-2

c)

16

d)

-16

3.

a)

x = 49

b)

x = 53

c)

x = 45

d)

x = 18

4.

$\sqrt{x+13}-8=-2$

a)

87

b)

no solution

c)

23

d)

$\sqrt{10}-13$

5.

What is 11 squared?

11²

a)

132

b)

144

c)

121

d)

22

6.

What is the square root of 100?

√100

a)

10

b)

200

c)

50

d)

1000

7.

What is the square root of 36?

√ 36

a)

4

b)

6

c)

18

d)

1296

8.

$\left(x+2\right)^{\frac{1}{2}}+3=7$

a)

14

b)

-14

c)

98

d)

0

9.

$8-\sqrt{x+12}=3$

a)

no solution

b)

$\sqrt{5}-12$

c)

13

d)

37

10.

$2\left(x-7\right)^{\frac{1}{2}}-3=1$

a)

23

b)

11

c)

no solution

d)

8

11.

$3-\sqrt{2x-1}=6$

a)

no solution

b)

5

c)

5/2

d)

-5

12.

Solve: $2x^2-x-15=0$

a)

$x=-\frac{5}{2}$ and $x=3$

b)

$x=\frac{5}{2}$ and $x=-3$

c)

$x=\frac{5}{2}$ and $x=3$

d)

$x=-\frac{5}{2}$ and $x=-3$

13.

Solve: $3x^2+7x-6=0$

a)

$x\ =\ 3$ and $x=-\frac{2}{3}$

b)

$x=-3$ and $x=\frac{2}{3}$

c)

$x=-3$ and $x=-\frac{2}{3}$

d)

$x=3$ and $x=\frac{2}{3}$

14.

Solve: $2x^2+x=6$

a)

$x=6$ and $x=\frac{5}{2}$

b)

$x=-2$ and $x=\frac{3}{2}$

c)

$x=\frac{3}{2}$ and $x=2$

d)

$x=-\frac{5}{2}$ and $x=6$

15.

Solve: $3x^2=9x$

a)

$x=3$ and $x=-3$

b)

$x=3$

c)

$x=0$ and $x=9$

d)

$x=0$ and $x=3$

16.

Solve: $2x^2-3x=2x-2$

a)

$x=\frac{1}{2}$ and $x=2$

b)

$x=-2$ and $x=-\frac{1}{2}$

c)

$x=2$ and $x=-2$

d)

$x=\frac{1}{2}$ and $x=-2$

17.

Solve: $\ x^2=81$

a)

$\left\{9\right\}$

b)

$\left\{\pm9i\right\}$

c)

$\left\{\pm\sqrt{9}\right\}$

d)

$\left\{\pm9\right\}$

18.

Solve: $x^2=-16$

a)

$\left\{\pm4\right\}$

b)

$\left\{0\right\}$

c)

$\left\{\pm4i\right\}$

d)

$\left\{4i\right\}$

19.

Solve: $x^2+7=23$

a)

$\left\{\pm\frac{8}{9}\right\}$

b)

$\left\{\pm4i\right\}$

c)

$\left\{\pm16\right\}$

d)

$\left\{\pm4\right\}$

20.

Solve: $8x^2+9=41$

a)

$\left\{\pm3i\right\}$

b)

$\left\{\pm4\right\}$

c)

$\left\{\pm\frac{i\sqrt{141}}{3}\right\}$

d)

$\left\{\pm2\right\}$

21.

Solve: $\left(2x-1\right)^2=9$

a)

$\left\{2,\ -1\right\}$

b)

$\left\{2\right\}$

c)

$\left\{2,\ 1\right\}$

d)

$\left\{5,\ -3\right\}$

22.

$10\left(x-7\right)^2=440$

a)

$\left\{\pm2\sqrt{11}\right\}$

b)

$\left\{7\pm\sqrt{430}\right\}$

c)

$\left\{7\pm2\sqrt{11}\right\}$

d)

$\left\{\pm9\sqrt{11}\right\}$

23.

Solve: $2\left(x-2\right)^2+3=-37$

a)

$\left\{2\pm2\sqrt{5}\right\}$

b)

$\left\{\pm4i\sqrt{5}\right\}$

c)

$\left\{2\pm2i\sqrt{5}\right\}$

d)

$\left\{\pm2\sqrt{5}\right\}$

24.

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

25.

Use the quadratic formula to solve 2x² + 2x - 12?

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

26.

Identify a, b and c in the quadratic equation: $2x^2-3x-5=0$

a)

a = 2 , b = 3, c = -5

b)

a = 2, b = -3, c = 5

c)

a = 2, b = -3, c = -5

d)

a = -2, b = 3, c = 5

27.

Identify a, b, and c in: x²−6x+14

a)

3,5,9

b)

1,-6,14

c)

1,-6,-14

d)

1,6,14

28.

What are the solutions of this graph?

a)

-2 and 3

b)

-1/2 and -6

c)

-2 and -6

d)

3 and -6

29.

What are the solutions?

a)

0 and 8

b)

-2 and -4

c)

3 and -1

d)

2 and 4

30.

Find the zeros.

a)

0 and 4

b)

0 and -4

c)

0

d)

-4

31.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

32.

.How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

33.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

34.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

35.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

36.

Factor Completely: 3n² - 15n + 18

Hint: Factor GCF first.

a)

(n - 2)(n - 3)

b)

3(n + 2)(n + 3)

c)

(3n - 9)(n - 2)

d)

3(n - 3)(n - 2)

37.

Factor
10x² + 15x-5

a)

25(10x³+45x-15)

b)

5(2x³ + 3x²-x)

c)

x(10x³+15x-5)

d)

5(2x²+3x-1)

38.

Factor
4b⁵+4b³+16b²

a)

4b³(b⁴+b²+4b)

b)

4b³(b⁴+4b+5)

c)

4(b⁵+b³+4b²)

d)

4b²(b³+b+4)

39.

Solve by factoring: 2x²+ 7x + 6 = 0

a)

x= 3/2 and x = 2

b)

x = -3/2 and x = -2

c)

x = 6 and x = 7

d)

x = -6 and x = -7

40.

Factor: 49x² - 100

a)

(49x + 100)(x - 1)

b)

(7x - 10)(7x + 10)

c)

(49x - 10)(x + 10)

d)

(7x -10)(7x - 10)

41.

Solve by factoring: x² - 9x + 20 = 0

a)

x = -4 and x = -5

b)

x = 20 and x = -9

c)

x = 4 and x = 5

d)

x = -4 and x = 5

42.

Solve by factoring: 2x² - 5x - 12 = 0

a)

x = -4 and x = -6

b)

x = 4 and x = -3/2

c)

x = 4 and x = 6

d)

x = -4 and x = 3/2

43.

Solve
16a² - 9 = 0

a)

a = ^-3/₄, ³/₄

b)

a = ^-4/₃, ⁴/₃

c)

a = ^-9/₁₆, ⁹/₁₆

d)

a = ^-16/₉, ¹⁶/₉

44.

Factor x²-16

a)

(x+4)²

b)

(x-4)²

c)

(x-16)(x+16)

d)

(x-4)(x+4)

45.

What are the factors of
25x² - 81?

a)

(5x - 9)(5x + 9)

b)

(5x - 9)(5x - 9)

c)

(5x + 9)(5x + 9)

d)

Cannot be factored

46.

Which of the following represents the function

f\left(x\right)\ =\ -\left(x-3\right)\left(x-9\right)

a)

a

b)

b

c)

c

d)

d

47.

Keith found the zeros of a graph to be

\frac{1}{2}

and

-3

.
What would the equation look like in factored form?

a)

y = (2x + 1)(x + 3)

b)

y = (2x – 1)(x + 3)

c)

y = (2x – 1)(x – 3)

d)

y = (2x + 1)(x – 3)

48.

Given the graph, what are the factors

a)

(x − 2)(x + 1)

b)

(x − 2)(x − 1)

c)

(x + 2)(x − 1)

d)

(x + 2)(x + 1)

49.

How would the equation of this graph look in factored form?

a)

y = (x – 5)²

b)

y = (x + 5)²

c)

y = x(x – 5)

d)

y = x(x + 5)

50.

How would this equation look in standard form?

a)

y = x² – 2x + 3

b)

y = x² – 2x – 3

c)

y = x² + 2x + 3

d)

y = x² + 2x – 3

51.

Factor:
x² + 5x - 24

a)

(x - 8)(x + 3)

b)

(x + 8)(x - 3)

c)

(x + 6)(x - 4)

d)

(x + 12)(x - 2)

52.

3v² - 8v + 5

a)

(3v + 5)(v - 1)

b)

(3v - 5)(v + 1)

c)

(3v - 5)(v - 1)

d)

(3v + 5)(v + 1)

53.

Factor 4x² - 81

a)

(4x - 9)(x + 9)

b)

(2x - 9)(2x + 9)

c)

(2x - 9)(2x - 9)

d)

(4x - 1)(x + 81)

54.

Factor

k^2+7k+10

.

a)

$(k+2)(k-5)$

b)

$(k+2)(k+5)$

c)

$(k+10)(k+4)$

d)

$(k-2)(k-5)$

55.

Factor $k^2-2k-24$

a)

$(k-4)(k+6)$

b)

$(k+4)(k+6)$

c)

$(k+6)(k-1)$

d)

$(k+4)(k-6)$

56.

Factor x²-2x-15

a)

(x+5)(x-3)

b)

(x-5)(x-3)

c)

(x-5)(x+3)

d)

(x+5)(x+3)

57.

Factor:
x² - 10x + 24

a)

(x - 6)(x - 4)

b)

(x + 6)(x + 4)

c)

(x - 12)(x + 2)

d)

(x - 8)(x - 3)

58.

Factor:
x² - 10x - 24

a)

(x + 12)(x - 2)

b)

(x - 6)(x - 4)

c)

(x - 12)(x + 2)

d)

(x +6)(x - 4)

59.

Find GCF 15n³+25n²

a)

5

b)

15n

c)

5n²

d)

5n

60.

Find GCF of 22x³+11x²

a)

11x

b)

11x²

c)

22x

d)

22x²

61.

FACTOR
7w³-14w

a)

7w(w²-2)

b)

7w(w²-2w)

c)

7w(w-2)

d)

7w(w+2)

62.

True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing

a)

True

b)

False, because the solution and root are the same but the x-intercept and zero are different

c)

False, because the x-intercept and root are the same but the zero and solution are different

d)

False, they are all different

63.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

64.

.How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

65.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

66.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

67.

What is the vertex?

a)

(0,-4)

b)

(4,0)

c)

(0,0)

d)

(3,5)

68.

What is the equation for the axis of symmetry?

a)

x=-1

b)

x=8

c)

x=0

d)

y=-1

69.

A line of symmetry for a graph is called the

a)

X- intercept

b)

Axis of Symmetry

c)

Y-Intercept

d)

Major Impact

70.

A Special curve shaped like a "U" on a graph

a)

Arch

b)

Parabola

c)

Vertex

d)

Minumum

71.

A Special curve shaped like a "U" on a graph

a)

Arch

b)

Parabola

c)

Vertex

d)

Minumum

72.

An equation where the highest exponent of the variable is a square is called a _______function.

a)

Stable

b)

Quadratic

c)

Polynomial

d)

Explicit

Final Review #1

Total questions: 72

Worksheet time: 12hrs 32mins

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