Free Printable Algebra B CSE 2 Review

1.

-2m - 5(2 + 7m)

a)

-37m - 10

b)

33m -10

c)

33m + 10

d)

-37m - 5

2.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

3.

What is the perimeter for the given rectangle:

a)

6x³ - 9x² + 10x - 15

b)

6x² + 1x - 15

c)

6x² + 4x + 4

d)

6x³ + 1x² - 15x

4.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

5.

Subtract the polynomials.
(3x³ + 3x² + 5) – (x³ – 2x² + x – 4)

a)

4x³ + 5x² + 9

b)

2x³ + 5x² – x + 9

c)

2x³ + 1x – 1x² – 1

d)

2x⁶ +5x⁵ – 1x – 1

6.

Simplify:

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

7.

(4x+1)(5x−2)

a)

20x² + 3x − 2

b)

20x² − 11x + 5

c)

20x² − 18x + 2

d)

20x² − 3x − 2

8.

(3x − 6)(7x + 7)

a)

21x² − 63x + 42

b)

21x² − 21x − 42

c)

21x² − 42

d)

21x² + 63x + 42

9.

Factor:

2n²- 8n³

a)

2n²(n - 4n²)

b)

2n²(1- 4n)

c)

2n³(10 - 8n²)

d)

3n(1 - 4n)

10.

Factor

x² - 5x

a)

1(x - 5)

b)

x(x - 5x)

c)

x(x - 5)

d)

x²(1 - 5)

11.

Find the equivalent expression:

3x² + 8x + 5

a)

(x - 1) (3x - 5)

b)

(3x - 1) (x - 5)

c)

(x + 1) (3x + 5)

d)

(3x + 1) (x + 5)

12.

Factor:

7x² - 16x + 4

a)

(x + 2) (7x - 2)

b)

(x + 2) (7x + 2)

c)

(x - 2) (7x + 2)

d)

(x - 2) (7x - 2)

13.

$a^2-10a+25$ Factor:

a)

$\left(a-5\right)\left(a+5\right)$

b)

$\left(a+5\right)^2$

c)

$\left(a-5\right)^2$

d)

$\left(a-10\right)^2$

14.

What are the SOLUTIONS?

x² = 7x + 18

a)

-7 and -18

b)

9 and 2

c)

9 and -2

d)

2 and 7

15.

Factor 4x²-9

a)

(4x-9)(4x+9)

b)

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

c)

2x-3

d)

(2x-4.5)(2x+4.5)

16.

Factor 4x²-9

a)

(4x-9)(4x+9)

b)

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

c)

2x-3

d)

(2x-4.5)(2x+4.5)

17.

Factor x²-25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

18.

Factor x² – 16.

a)

(x + 2)(x – 8)

b)

(x – 4)(x – 4)

c)

(x + 4)(x + 4)

d)

(x + 4)(x – 4)

19.

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

20.

Simplify (-5a^-3)(3a⁶b)²

a)

-15a⁹b

b)

45a⁹b

c)

45ab²

d)

-45a⁹b²

21.

Multiply and Simplify: (x + 2)(x + 5)

a)

$x^2+7x+10$

b)

$x^2+7x-5$

c)

$x^2+5x+7$

d)

$x^2-5x+7$

22.

Multiply and Simplify: (x + 14)(x + 2)

a)

$x^2+16x+28$

b)

$x^2+12x+28$

c)

$x^2-16x+28$

d)

$x^2+28x+16$

23.

Match the equation to its description.

a)

Reflected over x-axis and shifted up 4

b)

Reflected over x-axis and shifted down 4

c)

Reflected over x-axis and shifted right 4

d)

Reflected over x-axis and shifted left 4

24.

Match the equation to its description.

a)

Vertically stretched (steeper) by 4 and shifted up 4

b)

Vertically compressed (less steep) by 4 and shifted up 4

c)

Vertically stretched (steeper) by 4 and shifted right 4

d)

Vertically compressed (less steep) by 4 and shifted right 4

25.

If the blue graph (left) is $f\left(x\right)\ =\ x^{2\ }$ the red graph (right) must be...

a)

$f\left(x\right)=x^{2\ }-3$

b)

$f\left(x\right)=x^{2\ }+3$

c)

$f\left(x\right)\ =\ \left(x-3\right)^{2\ }$

d)

$f\left(x\right)\ =\ \left(x+3\right)^2$

26.

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

a)

a translation shifting f(x) 4 units up

b)

a translation shifting f(x) 4 units down

c)

a translation shifting f(x) 4 units to the left

d)

a translation shifting f(x) 4 units to the right

27.

What is the equation of this graph?

a)

f(x) = (x -5)² + 1

b)

f(x) = (x - 1)² - 5

c)

f(x) = (x + 1)² - 5

d)

f(x) = (x + 5)² +1

28.

Simplify the following radical: $\sqrt[]{49}$

a)

6

b)

7

c)

8

d)

9

29.

Simplify the following radical: $\sqrt[]{28}$

a)

$2\sqrt[]{7}$

b)

$7\sqrt[]{2}$

c)

$7\sqrt[]{4}$

d)

$4\sqrt[]{7}$

30.

Simplify the following radicals: $8\sqrt[]{24}$

a)

$16\sqrt[]{4}$

b)

$16\sqrt[]{6}$

c)

$24\sqrt[]{3}$

d)

$24\sqrt[]{6}$

31.

A small private school with a graduating class of 40 students in the year 2019 predicts that its graduating class will increase by 5% each year.

What function best represents this situation?

a)

$f\left(x\right)=40\left(0.95\right)^x$

b)

$f\left(x\right)=40\left(1.05\right)^x$

c)

$f\left(x\right)=5\left(0.60\right)^x$

d)

$f\left(x\right)=5\left(1.40\right)^x$

32.

Which dashed line is the asymptote of this graph?

a)

q

b)

r

c)

t

d)

s

33.

Find the minimum value of the graph x² + 12x + 4

a)

-12

b)

-32

c)

-6

d)

4

34.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

35.

Find the SOLUTIONS

x²+ 9x - 36 = 0

a)

(x + 12)(x - 3)

b)

x = 12 and x = -3

c)

x = -12 and x = 3

d)

(x - 9)(x - 4)

36.

What is the range of the function?
*Hint: Range is all of the y-values included in the function.

a)

y≤3

b)

y≥3

c)

All real numbers

d)

-6≤y≤3

37.

In an exponential function, what does the 'a' represent?

a)

SLOPE

b)

RATE OF CHANGE

c)

Y-INTERCEPT

d)

COMMON RATIO

38.

Identify the y-intercept (initial value) in the function f(x)=13(0.27)^x

a)

(0.27)^x

b)

0.27

c)

13

d)

3.51

39.

Which best describes the function f(x)=13(0.27)^x

a)

increasing at rate of 27%

b)

Increasing at a rate of 73%

c)

Decreasing at rate of 27%

d)

Decreasing at a rate of 73%

40.

Which function models this table?

a)

$f\left(x\right)=2\cdot4^x$

b)

$f\left(x\right)=4^x$

c)

$f\left(x\right)=4\cdot2^x$

d)

$f\left(x\right)=8^x$

41.

A sequence can be generated by using a_n= 5a_(n-1), where a₁= 8.

What are the first five terms in the sequence?

a)

8, 40, 200, 1,000, 5,000

b)

8, 13, 21, 29, 37

c)

8, 40, 320, 2,560, 20,480

d)

8, 24, 40, 56, 72

42.

What is the length of the hypotenuse of the right triangle above? Round your answer to the nearest tenth.

a)

5.3 cm

b)

5.5 cm

c)

5.4 cm

d)

5.6 cm

Algebra B CSE 2 Review

Total questions: 42

Worksheet time: 4hrs 30mins

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