Free Printable Alg2TAP_ 1st Nine Weeks Review

1.

Find the inverse of f(x) = -4x - 12

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = -4x - 3

2.

Find the inverse of
f(x) = 1/4x - 7

a)

f^-1(x) = 4x + 7

b)

f^-1(x) = -4x + 28

c)

f^-1(x) = -4x - 7

d)

f^-1(x) = 4x + 28

3.

Find the inverse of the function
f(x) = 3x − 5

a)

f^-1(x)=3x +5

b)

f^-1(x)=(x+5)/3

c)

f^-1(x)=3y-5

d)

f^-1(x)=3y+5

4.

What does it mean to find the inverse of a function?

a)

the x's and y's are switched

b)

the x's and y's are divided by 2

c)

the x's and y's are made negative

d)

the x's and y's are the same

5.

Find the inverse of $f\left(x\right)=3x+2$

a)

$f^{-1}\left(x\right)=\frac{x-2}{3}$

b)

$f^{-1}\left(x\right)=\frac{x-3}{2}$

c)

$f^{-1}\left(x\right)=\frac{3x}{2}$

d)

$f^{-1}\left(x\right)=\frac{2+x}{3}$

6.

When finding the inverse of a relation,
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

a)

solve for y

b)

replace y with f^-1(x)

c)

solve for x

d)

find the greatest common factor

7.

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

a)

3x² +5

b)

x² +1

c)

3x² +1

d)

3x² +6

8.

If f(x) = 5x and g(x) = 2x-1,

what is the composition f(g(x)) ?

a)

10x-1

b)

10x-5

c)

5x²-1

d)

5x²-5

9.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

10.

Find g(- 2).

a)

12

b)

-2

c)

-24

d)

18

11.

Given
f(x)= 2x² + 5x - 17, find f(-1).

a)

f(-1) = -20

b)

f(-1) = -24

12.

Which of the following is the correct equation for the given graph?

a)

f(x) = (x - 2)² - 1

b)

f(x) = (x + 2)² - 1

c)

f(x) = -(x + 2)² - 1

d)

f(x) = -(x - 2)² - 1

13.

Which function has a translation of 3 units to the left?

a)

f(x) = 3x²+1

b)

f(x) = (x + 3)² + 1

c)

f(x) = (x - 3)²+ 1

d)

f(x) = (x + 1)²- 3

14.

Which function has a translation of 7 units down and reflects over the x-axis?

a)

f(x) = -(x - 7)² + 1

b)

f(x) = (x + 7)² + 1

c)

f(x) = -(x - 1)² - 7

d)

f(x) = (x + 1)² - 7

15.

How is the graph of y = 2x²+ 3 different from the graph of y = 2x²?

a)

It is shifted 3 units left.

b)

It is shifted 3 units right.

c)

It is shifted 3 units down.

d)

It is shifted 3 units up.

16.

What is the range of the graph?

a)

all real numbers

b)

y≤-1

c)

y≥-1

d)

y≥3

17.

Which of the inequalities below best describes the domain of the function shown on the graph?

a)

-2 ≤ x ≤ 2

b)

-5 ≤ x ≤ -3

c)

-2 ≤ x ≤ 3

d)

-5 ≤ x ≤ 3

18.

What is the range of the function graphed?

a)

-3 < x ≤ 6

b)

-3 < y ≤ 6

c)

2 < y ≤ 6

d)

2 < x ≤ 6

19.

What is the range?

a)

-4 < x ≤ 5

b)

-4 ≤ x < 5

c)

-3 < y < 3

d)

-3 ≤ y ≤ 3

20.

Name the parent function.

a)

cube root

b)

quadratic

c)

cubic

d)

square root

e)

linear

21.

Describe the transformation.

a)

Down 1

b)

Reflect over y-axis

c)

Up 1

d)

Reflect over x-axis

22.

What are the transformations of this functions compared to the parent function?

a)

Shifted down 2

b)

Shifted up 2

c)

Shifted left 2

d)

Shifted right 2

23.

Describe the transformation.

a)

Left 1unit, Reflect over x-axis, up 2 units

b)

Left 1unit, Reflect over y-axis, down 2 units

c)

Right 1 unit, Reflect over x-axis, up 2 units

d)

Right 1unit, Reflect over y-axis, up 2 units

24.

|-2 - 4n| = 34

a)

n = -9, n = 8

b)

n = 9, n = 8

c)

n = -9

d)

n = 8

25.

|v + 8| − 5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

26.

-|−2r − 1| = 11

a)

{-6,5}

b)

{5,-6}

c)

-6

d)

No Solution

27.

a)

v>5 or v<-5

b)

v≥5 or v≤-5

c)

v>-5 or v<5

d)

all real numbers

28.

a)

no solution

b)

a> -1/6 or a< -5/6

c)

a>1/2 or a< -3/2

d)

all real numbers

29.

a)

no solution

b)

a> -1/6 or a< -5/6

c)

a>1/2 or a< -3/2

d)

all real numbers

30.

| 12 + w | ≥ -5

a)

No Solution

b)

All Real Numbers

c)

w ≤ -17 or w ≥ -7

d)

-17 ≤ w ≤ -7

31.

Solve the inequality

a)

x ≤ 2

b)

x ≤ -2

c)

x ≥ 2

d)

x ≥ -2

32.

Solve the inequality

a)

x ≥ -7

b)

x ≤ -7

c)

x ≤ -15

d)

x ≥ -15

33.

Which equation is written in STANDARD form?

a)

y = 1/2x + 2

b)

y - 3 = -5(x + 2)

c)

-7x + 2y = 9

d)

3x + 2 = y

34.

Rewrite the equation into Standard form

a)

5x + 8y = 56

b)

-5x + 8y = 56

c)

8x + 5y = 56

d)

5x + y = 7

35.

Which equation below is the point slope form?

a)

y = mx + b

b)

y = m(x + b)

c)

$y\ -\ y_{1\ }=m\left(x\ -x_1\right)$

d)

$\text{}\frac{y_{2\ }-y_1}{x_2-x_1}$

36.

Which of the following are written in standard form?

a)

y=3x-5

b)

3x+16=5y

c)

2/3 x + 9/13 y = 21

d)

5x+7y=-12

37.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

38.

Match the system to the graph (solution set is on the left)

a)

y ≤ 3x and y ≤ -2x + 4

b)

y > 3x and y > -2x + 4

c)

y < 3x and y > -2x + 3

d)

y > 3x and y < -2x + 4

39.

Which system of inequalities matches the graph?

a)

y > 2x - 4
y < 2

b)

y < 2x - 4
y < 2

c)

y > 2x - 4
y < 2

d)

y < 2x - 4
y < -2

40.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

41.

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

a)

10c + 5d = 14.25
5c + 10d = 16.50

b)

10c + 5d = 16.50
5c + 10d = 14.25

c)

c + d = 10
5c + 10d = 16.50

d)

c + d = 5
5c + 10d = 16.50

42.

What is the solution to this system of linear equations?
Use substitution.

y = -2x - 6
-2x + y = 6

a)

(0, -3)

b)

(-3, -12)

c)

(-3, 0)

d)

(3, -12)

43.

What Are These Called?

a)

Penguins

b)

Minions

c)

Gru

d)

Animated Children

44.

Solve using elimination.
4x + 8y = 20
-4x + 2y = -30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

45.

Solve by elimination:
3x+7y=23

-3x-7y=-17

a)

No solution

b)

ARN

c)

(-3,3)

d)

(3,3)

46.

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

a)

x + y = 33
y = 2x - 3

b)

x + y = 33
x = 2y - 3

c)

x + y = 33
x = 3 - 2y

d)

x + y = 3
x = 33 - 2y

47.

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?

a)

x + y = 1550
y = 4x

b)

x + y = 1550
y = x + 4

c)

y - x = 1550
y = 4x

d)

y = 1550 + x
y = x + 4

48.

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

a)

t + n = 54
t = 3n + 8

b)

t + n = 54
n = 3t + 8

c)

t + n = 54
t = 3n - 8

d)

t + n = 8
t = 3n + 54

49.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

$y=-\frac{1}{2}x+\frac{1}{2}$

b)

$y=\frac{1}{2}x+2$

c)

$y=-2x+7$

d)

$y=-2x+8$

Alg2TAP_ 1st Nine Weeks Review

Total questions: 49

Worksheet time: 12hrs 15mins

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