Free Printable Unit 7 Review

1.

Factor
k²+7k+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

2.

Factor
k²+7k+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

3.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

4.

factor:x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

5.

Factor
9x²+9x-10

a)

(3x-5)(3x+2)

b)

(3x+5)(3x-2)

c)

(3x+5)(3x+2)

d)

Not Factorable

6.

Factor Completely:
3x² + 18x +15

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

7.

Factor Completely:
2k²-14k-60

a)

2(k-10)(k-3)

b)

Not Factorable

c)

(k-5)(k+9)

d)

2(k-10)(k+3)

8.

Factor and solve:
14=2x²- 12x

a)

x=7,1

b)

x=-7,1

c)

x=-1,7

d)

No solution

9.

Solve
a² + 10a + 21 = 0

a)

± √21

b)

-3 , -7

c)

3 , 7

d)

28 , -7

10.

Solve
h² + 7h + 10 = 0

a)

A. h= -5, -2

b)

B. h= 5, 2

c)

C. h = -1, ^-10/₆

d)

D. h = ^-2/₅, -10

11.

Solve
a² + 2a - 24 = 0

a)

a = -6, 4

b)

a = 6, -4

c)

a = 12, -2

d)

a = 8, -3

12.

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

a)

x-4

b)

x+4

c)

x+6

d)

x-2

13.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

14.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

15.

Factor
a² - a - 12

a)

(a - 4)(a + 3)

b)

(a + 6)(a - 4)

c)

(a - 6)(a + 4)

d)

(a + 4)(a - 3)

16.

Which of the following is a factor of
r² -16r + 60 ?

a)

r + 6

b)

r + 10

c)

r - 6

d)

r -30

17.

Factor
x²-16x + 48

a)

(x - 12)(x - 4)

b)

(x + 6)(x - 8)

c)

(x + 12)(x - 4)

d)

(x -16)(x - 3)

18.

Factor
3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

19.

Factor
9x²-6x-8

a)

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

b)

(3x+2)(3x+4)

c)

(3x-2)(3x-4)

d)

(x-1)(9x+8)

20.

Factor
4x²-25x+25

a)

4(x-5)(x+5)

b)

(x+5)(4x+5)

c)

(x-5)(4x-5)

d)

(x+2)(9x+1)

21.

Which of the following is a factor of
4n²-17n-15?

a)

n+5

b)

4n-5

c)

4n-3

d)

4n+3

22.

Factor:
2x² - 3x - 2

a)

(2x - 2)(x + 1)

b)

(2x + 1)(x - 2)

c)

(2x - 1)(x - 2)

d)

(2x - 1) (x - 1)

23.

Factor:x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

24.

Factor
v² - 6v + 9

a)

(v-3)²

b)

(v-6)²

c)

(v-9)(v+6)

d)

not factorable

25.

Factor
x² + 4x + 3

a)

(x - 1)(x - 3)

b)

(x + 1)(x + 3)

c)

(x - 1)(x + 3)

d)

(x + 1)(x - 3)

26.

Which of the following is a factor of
x² - 9x + 20?

a)

x - 10

b)

x - 20

c)

x + 4

d)

x - 5

27.

Factor
x² + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 10)(x + 2)

c)

(x + 8)(x + 3)

d)

(x + 2)(x + 12)

28.

Factor completely.
3x² + 10x - 8

a)

(3x + 2)(x + 4)

b)

(7x + 5)(x + 2)

c)

(3x - 2)(x + 4)

d)

(7x - 3)(x - 4)

29.

Factor completely.
5x² - 7x + 2

a)

5(x - 2)(x + 1)

b)

(5x - 2)(x + 1)

c)

(7x - 1)(x - 4)

d)

(5x - 2)(x - 1)

30.

Factor:
x² - 9

a)

(x + 3)(x - 3)

b)

(x + 3)²

c)

(x - 3)²

d)

(x+3)(x+3)

31.

Which of the following is a factor of 3x² - 7x + 2?

a)

x - 1

b)

x - 2

c)

3x - 2

d)

3x + 1

32.

In the equation
(x + 2)(x - 3) = 0, the binomials are called...?

a)

Factors

b)

Products

c)

Multiples

d)

Zeros

33.

What is the first step in solving
(x + 2)(x - 3) = 0 ?

a)

Plug in zero for x

b)

Solve for x

c)

FOIL

d)

Set each binomial factor equal to zero

34.

Solve for the values of x:
(x + 2)(x - 3) = 0

a)

{ 2, 3 }

b)

{ -2, -3 }

c)

{ 2, 3 }

d)

{ -2, 3 }

35.

Solve for the values of x:
(2x - 1)(x + 4) = 0

a)

{ 1/2, -4 }

b)

{ 1/2, 4 }

c)

{ 2, -4 }

d)

{ -2, 4 }

36.

Solve and find your x-intercepts:
0=x(x - 6)

a)

x=0 and x=-6

b)

x=1 and x=-6

c)

x=0 and x=6

d)

x=6

37.

Solve and find your zeros:
z(z - 15)=0

a)

z=0 and z=15

b)

z=0 and z=-15

c)

z=-15

d)

z=15

38.

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

39.

What are the zeros of (2x+5)(x-6)=?

a)

-6, 5/2

b)

-5/2, 6

c)

6, 2

d)

5, -6

40.

Solve for X:

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

a)

{5,5 }

b)

{ -5,-5 }

c)

{ -5,-6 }

d)

{5,-6 }

41.

Solve for x: x(x-3)(x-4) = 0

a)

{0,3,4 }

b)

{3,4 }

c)

{ 0,-3,-4 }

d)

{ }

42.

(4x+8)(8x-16)=0

a)

{2}

b)

{-2}

c)

{-2,2}

d)

{0,-2,2}

43.

What is the name of this property?

a)

Zero Exponent Property

b)

Zero Product Property

c)

Commutative Property

d)

Zero Sum Property

44.

Solve for x: (x - 7)(x + 2)

a)

-7, 2

b)

7, -2

c)

7, 2

d)

-7, -2

45.

Solve for x: (2x - 6)(x + 1)

a)

-6, 1

b)

3, -1

c)

-3, 1

d)

-3, -1

46.

Find the missing side lengths.

a)

a = 4, b = 4

b)

a = 4, b = 2√2

c)

a = 2√2, b = 4

d)

a = 4, b = 4

47.

What is the length of x in this 45-45-90 triangle?

a)

4√2

b)

4

c)

8

d)

4√3

48.

What is the length of u and v in this 30-60-90 triangle?

a)

u = 8 v = 4√3

b)

u = 4√2 v = 8

c)

u = 16 v = 8

d)

u = 4√3 v = 8

49.

Find a.

a)

3

b)

$3\sqrt{3}$

c)

6

d)

$\sqrt{3}$

50.

Find x.

a)

10

b)

$10\sqrt{3}$

c)

$10\sqrt{2}$

d)

20

51.

Which side is the long leg in this 30-60-90 triangle? (not the hypotenuse)

a)

4

b)

u

c)

v

52.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

53.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

54.

Find x.

a)

10

b)

10√3

c)

10√2

d)

20

55.

Find x.

a)

22

b)

11√3

c)

11√2

d)

11

56.

Find a.

a)

12

b)

24

c)

24√3

d)

16

57.

Find a.

a)

2√3

b)

2

c)

12

d)

6

58.

Find x.

a)

9

b)

3√3

c)

6

d)

6√3

59.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

60.

Find the value of x.

a)

18

b)

18√3

c)

36√3

d)

12

61.

Use the 45-45-90 theorem to solve for the hypotenuse.

a)

16

b)

8

c)

8√2

d)

√16

62.

Find the value of y.

a)

8

b)

4

c)

2√3

d)

8√3

63.

Find the length of m.

a)

4

b)

6

c)

12

d)

2√3

64.

Determine the length of x.

a)

x = 3/2

b)

x = 3

c)

x = 3√3

d)

x = 6

65.

Determine the value of x.

a)

x = 10√2

b)

x = 10

c)

x = 5√3

d)

x = 5√6

66.

Determine the value of x.

a)

x = 8√2

b)

x = 16√2

c)

x = 16

d)

x = 8√6

67.

Determine the value of c.

a)

c = 6√3

b)

c = 12√3

c)

c = 18

d)

c = 18√2

68.

Determine the area of the entire diagram shown. The area of a triangle is A = ½bh

a)

10√2

b)

20√2

c)

200

d)

400

69.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

measurements

d)

nothing

70.

What does 'b" represent in y=mx+b

a)

y-intercept

b)

base

c)

nothing

d)

slope

71.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

72.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

73.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

74.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

75.

Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?

a)

y = 1/5x - 3

b)

y= 5x - 7

c)

y = 5x + 4

d)

y = -5x - 3

76.

Which of the following lines goes through the point (-3, 4) and is perpendicular to y = 3/2x + 6?

a)

y = 3/2x - 6

b)

y = 2/3x + 3

c)

y = -2/3x - 2

d)

y = -2/3x + 2

77.

y = 6x + 2
y = -6x + 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

78.

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

a)

y = -1/3x - 5

b)

y = 3x-29

c)

y = 1/3x -5

d)

y = -1/3x +1

79.

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

a)

y = 4x + 12

b)

y = -4x -4

c)

y = -1/4x + 5/2

80.

If the lines are parallel to each other and the slope of the blue line is 1/4, what is the slope of the purple line?

a)

4

b)

-4

c)

$-\frac{1}{4}$

d)

$\frac{1}{4}$

81.

If the lines are perpendicular to each other and the slope of the blue line is $\frac{1}{2}$ , what is the slope of the purple line?

a)

2

b)

-2

c)

$-\frac{1}{2}$

d)

$\frac{1}{2}$

82.

Choose the linear equation that is parallel to the following line

$y=-\frac{1}{4}x-1$

a)

$y=-\frac{1}{4}x+5$

b)

$y=\frac{1}{4}x-1$

c)

$y=-4x-1$

d)

$y=4x-1$

83.

Choose the linear equation that is perpendicular to the following line

$y=-\frac{1}{4}x-1$

a)

$y=-\frac{1}{4}x+5$

b)

$y=\frac{1}{4}x-1$

c)

$y=-4x-1$

d)

$y=4x-3$

84.

What is the slope of line KH if H(-4, 2) and K(2, -2)? Remember to reduce!

a)

-3/2

b)

-2/3

c)

2/3

d)

3/2

85.

Are line RS and line TU parallel, perpendicular, or neither if:

R(–2, 3), S(3, 3), T(–3, 1), and U(3, –1)?

a)

parallel

b)

perpendicular

c)

neither

86.

Are Line FG and line KJ parallel, perpendicular, or neither if:

F(–1, 2), G(3, –4), K(–2, –3), and J(4, 1)?

a)

parallel

b)

perpendicular

c)

neither

87.

Are Line WX and line YZ parallel, perpendicular, or neither if:

slope of WX = 1/2

slope of YZ = -1/2

a)

parallel

b)

perpendicular

c)

neither

88.

What is the slope of the graphed line?

(a)

Unit 7 Review

Total questions: 88

Worksheet time: 3hrs 34mins

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