Free Printable Algebra 1P Review for Final exam Second Semester

1.

Simplify the expression: 4(6x) - 3(-5 + 8x)

a)

15

b)

48x + 15

c)

16x + 8

d)

x + 8

2.

Solve the equation: -5(x + 9) = -5

a)

x = -8

b)

x = 8

c)

x = -10

d)

x = 10

3.

3y+4y+6=20

a)

y=2

b)

y=-2

c)

y=4

d)

y=3

4.

Simplify by combining like terms:
4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

5.

Simplify
2(x +4) + 5(x+6)

a)

2x+ 38

b)

10x + 240

c)

7x +38

d)

6x² + 7x

6.

What is the range of the graph?

a)

-7 ≤ x < 5

b)

-3 ≤ x < 1

c)

-3 ≤ y < 1

d)

-7 ≤ y < 5

7.

Solve the following by factoring and using the zero product property.

$x^2+7x+12=0$

a)

x = 4 and x = 3

b)

x = -4 and x = -3

c)

x = 6 and x = 2

d)

x = -6 and x = -2

8.

Which function graphed below represents an exponential function that is always decreasing?

a)

b)

c)

d)

9.

Find the product.
(m-8)(m-9)

a)

m²+17m-72

b)

m²-17m-72

c)

m²-17m+72

d)

m²-72

10.

What it the transformation?

a)

Vertical Translation up 5

b)

Vertical Translation down 5

c)

Horizontal Translation left 5

d)

Horizontal Translation right 5

11.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

12.

(3x² - 5x + 7) - (2x² + 9x - 1)

a)

x² - 4x + 6

b)

5x² - 4x + 8

c)

x² - 14x + 8

d)

x² + 4x + 6

13.

What is the range of the graph?

a)

All real numbers

b)

y≤0

c)

y ≥ 0

d)

x ≥ 0

14.

Where is the axis of symmetry for this parabola?

a)

x = −1

b)

x = 0

c)

y = 3

d)

x = −3

15.

Factor

a² + 10a + 24

a)

(a – 2)(a + 12)

b)

(a + 2)(a + 12)

c)

(a + 4)(a+ 6)

d)

(a – 4)(a – 6)

16.

What type of function is f(x)=2(1/7)^x ?

a)

Exponential Growth

b)

Linear

c)

Exponential Decay

d)

None of the Abovee

17.

Consider the function $f\left(x\right)=5x^2-20x-60$ .

Which of the following is the factored form of $f\left(x\right)$ ?

a)

$5\left(x-6\right)\left(x+2\right)$

b)

$5\left(x+6\right)\left(x-2\right)$

c)

$\left(5x-5\right)\left(x+4\right)$

d)

$\left(5x+5\right)\left(x-4\right)$

18.

Simplify the following expression:

a)

5

b)

25

c)

125

d)

625

19.

Simplify: $\left(\sqrt[4]{81}\right)^5$

a)

45

b)

729

c)

15

d)

243

20.

Factor this trinomial: 2x² + 11x + 12

a)

(x + 3)(2x + 4)

b)

(2x + 2)(x + 6)

c)

(x + 2)(2x + 6)

d)

(2x + 3)(x + 4)

21.

Factor: 24x³ + 42x² + 9x

a)

3x(4x + 3)(2x + 1)

b)

x(12x + 3)(2x + 1)

c)

x(2x + 3)(12x + 1)

d)

3x(2x + 3)(4x + 1)

22.

Simplify

a)

16

b)

64

c)

256

d)

216

23.

If f(x) = 27 - 15x - 3x², find f (-6).

a)

9

b)

-171

c)

-9693

d)

No Solution

24.

Factor: x²+9x+18

a)

(x+6)(x+3)

b)

(x-6)(x-3)

c)

(x-6)(x+3)

d)

(x+6)(x-3)

25.

Factor: 3x²-17x+10

a)

(x-5)(3x-2)

b)

(x+5)(3x+2)

c)

(3x-5)(x-2)

d)

(x+5)(3x-2)

26.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

27.

Factor:
4n⁶+16n⁴-8n

a)

4n(n⁴+4n³-2)

b)

4n(n⁵+4n³-2)

c)

12n(n⁵+4n⁴-2)

d)

16n(n⁵+4n³-2)

28.

Identify the type of function.

a)

Linear

b)

Quadratic

c)

Exponential

29.

Identify the type of function.

a)

Linear

b)

Quadratic

c)

Exponential

30.

Determine which type of function the following is:

$y=5x^2-7x+9$

a)

Linear

b)

Quadratic

c)

Exponential

d)

Not a function

31.

Determine which type of function the following is:

$y=5\left(6.1\right)^x-12$

a)

Linear

b)

Quadratic

c)

Exponential

d)

Not a function

32.

Determine what type of function the following table is:

a)

Linear

b)

Quadratic

c)

Exponential

d)

Not a function

33.

Determine what type of function the following table is:

a)

Linear

b)

Quadratic

c)

Exponential

d)

Not a function

34.

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

35.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

36.

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

37.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

38.

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

39.

√500x⁸y²

a)

10x⁴y√5

b)

10x⁴y²√5

c)

50x⁴y

d)

100x⁴y√5

40.

a)

8√6

b)

8√12

c)

12√6

d)

12√12

Algebra 1P Review for Final exam Second Semester

Total questions: 40

Worksheet time: 3hrs 20mins

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