Free Printable Rev 1 Q3 Assessment ALg2

Worksheets

Rev 1 Q3 Assessment ALg2

Total questions: 33

Worksheet time: 2hrs 20mins

Name

Class

Date

Rewrite 3⁴ = 81 in logarithmic form.

log₃4 = 81

log₈₁3 = 4

log₃81 = 4

log₄81 = 3

Write as one logarithm. Simplify, if possible.
log₃9 + log₃27

-1

Re-Write the Exponential Equation into Logarithmic Form
5^x = 625

x = log₅625

log₅x = 625

5 = log_x625

log₅x = 625

Which of these equations shifts a radical equation right 5 times and down one?

y = √(x - 5) - 1

y = √(x + 5) - 1

y = √(x - 5) + 1

y = √(x + 5) + 1

y = √(x - 2) + 3

y = √(x + 3) - 2

y = √(x + 2) - 3

y = √(x - 3) + 2

Solve

x = -5

x = 1/5

No Solution

x = -1

Solve the equation.

n = 27

n = 18

n = -18

n = 36

Solve

v = -14

v = 14

No Solution

v = 28

Read the question carefully and choose the correct answer.

10.

Simplify completely.

3v√2v

3v√2v³

v√18v

9v√v

11.

Simplify: 64 ^-2/3

-16

1/16

1/512

-512

12.

-(16)^3/4 =

-8

Non real

13.

Is (x+5) a factor of x³+2x²-x+4 ?

Yes

14.

How many x-intercepts does x⁴+6x²+9= 0 have?

None

15.

Factor this difference of cubes:
x³ - 343

(x + 7) (x² - 7x + 49)

(x² + 1) (x - 343)

(x - 7) (x² + 7x + 49)

(x² - 343) (x + 1)

16.

Factor: x³+ 1

(x + 1)³

(x+1)(x²- x + 1)

(x - 1) (x² + x - 1)

(x + 1)(x² - 2x + 1)

17.

What are the zeros of the function?

4,1

3,1,-2,-5

-3, -1, 2, 5

-2,4

18.

What is another way to say "where a function crosses the x-axis"?

x-intercept

zero

root

all of these.

19.

What are the x-intercepts of the polynomial
y = 3 (x + 4) (x + 1) (x - 3)?

-4, -1, 3

3, -3, 4, 1

4, 1, -3

3, -4, -1, 3

20.

Find the zeros of the function f(x) = 4x⁴ - 8x² + 4.

x = -1 and x = 1

x = 1

x = -1

no solution

21.

Describe the end behavior of

f(x) = -5x⁴- 2x² + 8

As x approaches neg infinity, f(x) approaches infinity

As x approaches infinity, f(x) approaches infinity

As x approaches neg infinity, f(x) approaches infinity

As x approaches infinity, f(x) approaches negative infinity

As x approaches neg infinity, f(x) approaches negative infinity

As x approaches infinity, f(x) approaches infinity

As x approaches neg infinity, f(x) approaches negative infinity

As x approaches infinity, f(x) approaches negative infinity

22.

Describe the end behavior of

f(x) = 2x² + 6x⁵ + 10x

As x approaches neg infinity, f(x) approaches infinity

As x approaches infinity, f(x) approaches infinity

As x approaches neg infinity, f(x) approaches negative infinity

As x approaches infinity, f(x) approaches infinity

As x approaches neg infinity, f(x) approaches infinity

As x approaches infinity, f(x) approaches negative infinity

As x approaches neg infinity, f(x) approaches negative infinity

As x approaches infinity, f(x) approaches negative infinity

23.

4th degree polynomial with a positive leading coefficient

4th degree polynomial with a negative leading coefficient

3rd degree polynomial with a positive leading coefficient

3rd degree polynomial with a negative leading coefficient

24.

Match the graph to the function

f(x)= -x²+3x+2

f(x) = -x³+2

f(x) = x³+2

f(x) = ⅓x⁴-5x²+2

25.

Match the graph to the function

f(x) = -x⁴-x³+5x²-6

f(x) = x⁴+3x²-3x+1

f(x) = -x³+2x²-x-6

f(x) = x⁴+x³+5x²-6

26.

How could you determine if x-2 is a factor of 2x³-5x²+x-2?

Use synthetic division and see if the quotient is even

Ask the person sitting next to me

Use synthetic division and see if the remainder is zero

Flip a coin

27.

Divide (m²-7m-11) by (m-8).

m+2 R5

m+1 R(-3)

m-4

m-8 R1

28.

Divide (4x³-2x²-3) by (2x²-1).

2x-1 R(2x-4)

2x+3 R(x-3)

2x-1 R0

2x+3 R(3x-5)

29.

Solve

30.

Solve for x:

No Solution

19/2

31.

Solve for x:

16/5

1019/5

4/5

No solution

32.

Solve 3³ = 3^{4x + 2}

x = ¼

x = -¼

x = ½

x = -½

33.

Solve: 9^8-x = 27^x-3

x = 5

x = -5

x = 1/5

x = -1/5

100 %

Rev 1 Q3 Assessment ALg2

Total questions: 33

Worksheet time: 2hrs 20mins

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