Free Printable Alg 2 Ch 1 & 2 Final Review

1.

Solve each equation. $.75\left(x-13\right)=-2\left(9+x\right)$ notice the decimal!!

a)

$x=-3$

b)

$x=3$

c)

$x=11$

2.

Solve for x:
3(5x + 10) + 10 = 6x - (x + 10)

a)

3

b)

-3

c)

-5

d)

5

3.

Solve.
|p + 3| ≥ 10

a)

-13 ≤ p ≤ 7

b)

p ≤ -13 or p ≥ 7

c)

-7 ≤ p ≤ 13

d)

p ≤ -7 or p ≥ 13

4.

Solve.

3|2d + 9| + 13 > 10

a)

d > 5 or d < -1

b)

d < -4 or d > 5

c)

No Solution

d)

All real numbers

5.

Solve.
|2x - 12| + 8 = 8

a)

x = 6 or x = -2

b)

x = 6 or x = -6

c)

no solution

d)

x = 6

6.

Solve:
3 | 2x + 7| - 7 < -4

a)

x < -3 and x > -5/3

b)

x < -3 and x > -4

c)

all real numbers

d)

no solution

7.

What type of line is the equation y = 10 ?

a)

vertical

b)

horizontal

c)

neither

8.

What type of line is the equation x = 8 ?

a)

vertical

b)

horizontal

c)

neither

9.

What type of line has a slope of 0?

a)

vertical

b)

horizontal

c)

neither

10.

Identify the x-intercept of the following linear equation written in standard form.

-8x - 4y = 8

a)

(-1, 0)

b)

(0, -1)

c)

(-2, 0)

d)

(0, -2)

11.

Identify the y-intercept of the following linear equation written in standard form.

9x + 3y = -18

a)

(0, -6)

b)

(-6, 0)

c)

(-2, 0)

d)

(0, -2)

12.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D: {-4, 0, 1, 2}
R:{-4, -3, 1}

c)

D: {0, 1, 2, 3, 4}
R:{1, -3, -4}

d)

D: {0, 1, 2, -4}
R: {1, -3, -4, 1}

13.

What is the range?

a)

{-3, -1, 2, 4}

b)

{0, 4, 7}

c)

{0, 4, 4, 7}

d)

{7, 4, 0}

14.

a)

Function

b)

Not a Function

15.

What is the equation of the absolute value function?

a)

f(x)= |x+4|

b)

f(x)= |x-4|

c)

f(x)= |x| + 4

d)

f(x)= |x| - 4

16.

Which function defines the graph?

a)

f(x) = |x - 4| + 3

b)

f(x) = |x - 3| + 4

c)

f(x) = |-x + 4| + 3

d)

f(x) = |x + 4| + 3

17.

What is the equation of the graph below?

a)

f(x) = I x + 2 I

b)

f(x) = I x I + 2

c)

f(x) = I x I - 2

d)

f(x) = I x - 2 I

18.

Solve for x
l 2x−1 l = 9

a)

x = 5 and x =-4

b)

x = 5 and x = -5

c)

Only x = 5

d)

No Solution

19.

a)

{4, -4}

b)

{9, -9}

c)

{5, -9}

d)

{13, -1}

20.

Solve for x
2 lx−4l+8=18

a)

x = 9 and x =-1

b)

x = 1 and x = -9

c)

x= 4 and x = -2

d)

No Solution

21.

What is f(6) for the function f(x)=3x-8

a)

-8

b)

10

c)

-144

d)

answer not here

22.

$Given\ f\left(x\right)=\frac{3}{2}x+5\ what\ is\ f\left(12\right)?$

a)

$\frac{43}{2}$

b)

$20$

c)

$23$

d)

$5$

23.

What is the maximum height?

a)

200

b)

50

c)

3

d)

0

24.

What is the minimum?

a)

None

b)

(0,4)

c)

(3,1)

d)

y = -1

25.

Find $f\left(1\right)$ for $f\left(x\right)=-x^2-9x+7\$

(a)

Alg 2 Ch 1 & 2 Final Review

Total questions: 25

Worksheet time: 53mins

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