Free Printable EOY Unit 3: Advanced Algebra (No WPs)

1.

SAT3.1.1a

Select the factors of the following binomial:

$x^2-10x+21$

a)

(x-7)

b)

(x-3)

c)

(x+3)

d)

(x+7)

2.

SAT3.1.1b

a)

(x-9)

b)

(x-7)

c)

(x-6)

d)

(x-8)

3.

SAT3.1.1c

Select the factors of the trinomial

$x^2-3x-10$

a)

(x-5)

b)

(x+2)

c)

(x-10)

d)

(x-1)

4.

SAT3.1.1d

a)

(x-6)

b)

(x+5)

c)

(x-5)

d)

(x-4)

5.

SAT3.1.2b

Factor completely.

$7x^2+35x+42$

(a)

6.

SAT3.1.2c

Factor completely.

$4x^2-28x+40$

(a)

7.

SAT3.1.2d

Factor completely.

$7x^2+28x-35$

(a)

8.

SAT3.1.2e

Factor completely.

$5x^2+20x-60$

(a)

9.

SAT3.2.1a

Solve:

$10^5\cdot10=$

a)

$100^5$

b)

$10^5$

c)

$10^6$

d)

$10^4$

10.

SAT3.2.1b

Solve:

$x^3\cdot x^5$

a)

$x^8$

b)

$x^{15}$

c)

$x^2$

d)

$x^{\frac{3}{5}}$

11.

SAT3.2.1c

Solve for x

$5^x=5^3\cdot5^8$

a)

11

b)

$5^{11}$

c)

24

d)

$5^{-5}$

12.

SAT3.2.1d

Solve:

$4^4\cdot4^3$

a)

$4^7$

b)

$4^{12}$

c)

4

d)

$4^{-1}$

13.

SAT3.2.2a

Solve:

$\left(z^1\right)^2$

a)

$z^2$

b)

$z^3$

c)

$z^{-1}$

d)

$z^1$

14.

SAT3.2.2b

Solve:

$\left(5^3\right)^2$

a)

$5^6$

b)

$5^5$

c)

$5$

d)

$5^9$

15.

SAT3.2.2c

Solve for n:

$\left(2^4\right)^2=2^n$

a)

8

b)

6

c)

2

d)

-2

16.

SAT3.2.2d

Solve:

$\left(y^4\right)^2$

a)

$y^8$

b)

$z^8$

c)

$y^6$

d)

$y^2$

17.

SAT3.2.3a

Solve:

$\frac{4^9}{4^5}$

a)

$4^4$

b)

$4^{14}$

c)

$1^4$

d)

$1^{14}$

18.

SAT3.2.3b

Solve:

$\frac{y^9}{y^2}$

a)

$y^7$

b)

$y^{18}$

c)

$y^{11}$

d)

$y^{\frac{9}{2}}$

19.

SAT3.2.3c

Solve for x:

$\frac{4^6}{4^x}=4^0$

a)

1

b)

$6$

c)

$4^6$

d)

$4^1$

20.

SAT3.2.3d

Rewrite the expression in the form of an exponent with a base of 3:

$\frac{3\cdot3\cdot3\cdot3\cdot3\cdot3}{3\cdot3\cdot3\cdot3}$

a)

$3^2$

b)

$3^6$

c)

$3^4$

d)

$3^{\frac{6}{4}}$

21.

SAT3.2.4a

a)

A

b)

B

c)

C

d)

D

22.

SAT3.2.4b

a)

A

b)

B

c)

C

d)

D

23.

SAT3.2.4c

a)

A

b)

B

c)

C

d)

D

e)

E

24.

SAT3.2.4d

a)

A

b)

B

c)

C

d)

D

25.

SAT3.2.5a

a)

A

b)

B

c)

C

d)

D

26.

SAT3.2.5b

a)

A

b)

B

c)

C

d)

D

27.

SAT3.2.5c

a)

A

b)

B

c)

C

d)

D

28.

SAT3.2.5d

a)

A

b)

B

c)

C

d)

D

29.

SAT3.2.6a

a)

A

b)

B

c)

C

d)

D

30.

SAT3.2.6b

a)

A

b)

B

c)

C

d)

D

31.

SAT3.2.6c

a)

A

b)

B

c)

C

d)

D

32.

SAT3.2.6d

a)

A

b)

B

c)

C

d)

D

33.

SAT3.3.1a

a)

A

b)

B

c)

C

d)

D

34.

SAT3.3.1b

(a)

35.

SAT3.3.1c

a)

A

b)

B

c)

C

d)

D

36.

SAT3.3.3a

a)

$-n^2-\frac{1}{4}n+1$

b)

$n^2-\frac{1}{4}n+1$

c)

$-n^2-\frac{1}{4}n-1$

d)

$-n^{ }-\frac{1}{4}n+1$

e)

$-n^2+\frac{1}{4}n+1$

37.

SAT3.3.1e

(a)

38.

SAT3.3.2a

(a)

39.

SAT3.3.2b

Simplify completely

$\left(3x-3y-z\right)-\left(9y-3z\right)$

Kindly input terms in alphabetical order

(a)

40.

SAT3.3.2c

Simplify completely

Kindly input terms in alphabetical order

(a)

41.

SAT3.3.2d

Simplify completely

Kindly input terms in alphabetical order

(a)

42.

SAT3.3.3a

a)

10rs+2st

b)

$10rs+\frac{4}{3}rt+2st$

c)

10rs-2st

d)

$10rs+\frac{4}{3}rt-2st$

e)

$10rs-\frac{4}{3}rt+2st$

43.

SAT3.3.3b

a)

$-k^2-2k+9$

b)

$-k^2+2k+9$

c)

$9k^2-2k+9$

d)

$-k^2-2k+3$

e)

$k^2-2k-3$

44.

SAT3.3.3c

a)

5mn-7mp+2np

b)

5mn-5mp+2np

c)

9mn-5mp+2np

d)

5mn-5mp+14np

e)

9mn-5mp+2np

45.

SAT3.3.3d

a)

$4p^2-2p+2$

b)

$5p^2-2p+2$

c)

$11p^2-2p+2$

d)

$4p^2+2p+2$

e)

$4p^2-2p-2$

46.

SAT3.3.4a

a)

$5x^2+10x$

b)

$5x^{ }+10x$

c)

$5x^2+7x$

d)

$5x^2+10$

e)

$6x^2+10x$

47.

SAT3.3.4b

a)

$14x^2-21$

b)

$14x^2+21$

c)

$9x^2-21$

d)

$9x^2-4$

e)

$14x^2-4$

48.

SAT3.3.4c

a)

$4x^2+12x+8$

b)

$5x^2+12x+8$

c)

$5x^2+7x+8$

d)

$4x^2+12x+6$

e)

$4x^2+7x+8$

49.

SAT3.3.4d

a)

$6x^2-9x$

b)

$6x-9x$

c)

$5x^2-9x$

d)

$6x^2$

e)

$6x^2+9x$

50.

SAT3.4.1

x cannot be a value that would make the denominator zero

Solve:

$\frac{x+1}{9-x}=\frac{2}{3}$

(a)

51.

SAT3.4.1a

Kindly enter numerical value only

(a)

52.

SAT3.4.1b

Kindly enter numerical value only

(a)

53.

SAT3.4.1c

Kindly enter numerical value only

Solve for y:

$\frac{y-1}{3y+7}=\frac{1}{10}$

(a)

54.

SAT3.4.1d

Kindly enter numerical value only

(a)

55.

SAT3.4.1e

Kindly enter numerical value only

(a)

56.

SAT3.4.1f

Kindly enter numerical value only

If the solution causes the denominator to equal zero, it isn't a valid solution

(a)

57.

SAT3.4.1g

(a)

58.

SAT3.4.1h

(a)

59.

SAT3.4.1i

(a)

60.

SAT.Quad.1

Which of the following is the proper form for quadratic equations

a)

$ax^2+bx+c$

b)

$ax^2+bx+c=0$

c)

$ax+bx+c=0$

d)

$ax^2+bx+c=x$

61.

SAT.Quad.2

Which of the following is the graph of a quadratic?

$ax^2+bx+2=0$

a)

b)

c)

d)

e)

62.

SAT.Quad.3

When solving quadratic equations, what are you solving for?

$ax^2+bx+c=0$

a)

The y-intercepts of a parabola

b)

The x-intercepts of a parabola

c)

The values of x that will make the equation true

d)

The values of x that are invalid solutions

e)

The points where the graph crosses the x-axis

63.

SAT.Quad.4

Select the factors of the quadratic

$x^2-5x+6=0$

a)

(x-2)

b)

(x-3)

c)

(x+2)

d)

(x+3)

64.

SAT.Quad.5

Having factored the quadratic:

$x^2-5x+6=0$

Solve for x by setting each factor equal to zero:

(x-2)(x-3) = 0

a)

2

b)

3

c)

-2

d)

-3

e)

0

65.

SAT.Quad.6

In which of the following can you cancel out a common factor in the numerator and denominator?

a)

$\frac{x+5}{x}$

b)

$\frac{y-3}{y}$

c)

$\frac{5z}{z}$

d)

$\frac{x\left(x+1\right)}{x}$

e)

$\frac{x\left(x+1\right)}{\left(x+1\right)}$

66.

SAT3.4.2a

a)

-5

b)

-4

c)

-2

d)

0

e)

1

67.

SAT3.4.2b

Solve for y:

$-\frac{6}{y\left(y-1\right)}=\frac{y+6}{y}$

a)

-5

b)

-4

c)

-2

d)

0

e)

1

68.

SAT3.4.2c

Solve for y:

$\frac{7}{z\left(z+1\right)}=\frac{z+7}{z}$

Kindly enter numerical value only. If entering more than one value, separate using a comma.

(a)

69.

SAT3.4.2d

Solve for the variable:

$\frac{11}{z\left(z+1\right)}=\frac{z+11}{z}$

Kindly enter numerical value only. If entering more than one value, separate using a comma.

(a)

70.

SAT3.3.Bonus1

(Kindly input terms in alphabetical order of their variables)

(a)

71.

SAT3.3.Bonus2

(Kindly input terms in alphabetical order of their variables with the constant last)

(a)

72.

SAT3.3.Bonus3

(Kindly input terms in alphabetical order of their variables with the constant last)

(a)

73.

SAT3.3.Bonus4

$A-B\ =$

(Kindly input terms in alphabetical order of their variables with the constant last)

(a)

74.

SAT3.3.Bonus5

(Kindly input terms in alphabetical order of their variables with the constant last)

a)

-4ab-ac

b)

-4ab-ac+4bc

c)

-4ab-ac-4bc

d)

4ab-ac

e)

-4ab+ac

75.

SAT3.3.Bonus7

a)

$-4xz-2xy$

b)

$4xz-2xy$

c)

$-4xz+2xy$

d)

$-4xz-2yz$

e)

$-4xy-2xz$

EOY Unit 3: Advanced Algebra (No WPs)

Total questions: 75

Worksheet time: 4hrs 39mins

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