Free Printable Equations, Systems of Equations, Inverse Functions, Inequalities

1.

What is the solution of the given equations?

$y=\frac{3}{2}x-12\ \ \ and\ \ \ 2x-y=28$

(a)

Choose from the below words

(32, 36)

(-17, 34)

(36, 32)

2.

What is the y value of the given equations?

$2x+y=4\ \ \ and\ \ \ \ y=4x+1$

(a)

Choose from the below words

3

13

3.

What is the solution to the following equations?

$7x-y=10\ \ \ and\ \ \ x=\frac{1}{3}y-2$

a)

$\left(-18,\ 4\right)$

b)

$\left(-19,\ 6\right)$

c)

$\left(-16,\ \frac{5}{9}\right)$

d)

$\text{(4, 18)}$

4.

What is the solution of the given equations?

$y=2x+10\ \ \ and\ \ \ y=-3x+85$

a)

$\left(-15,\ 20\right)$

b)

$\left(-40,\ -15\right)$

c)

$\left(15,\ 40\right)$

d)

$\left(\frac{1}{4},\ 36\right)$

5.

What is the x-value of the following equations?

$2x+y=50\ \ and\ \ \ 5x-2y=-10$

(a)

6.

Given the equations

$y=-4x-18\ \ \ and\ \ \ y=\frac{1}{2}x+36$

what is the value of 2x?

7.

What is the solution to the given equations?

$y=\frac{1}{4}x-8\ \ \ and\ \ \ \ y=-\frac{1}{2}x-5$

a)

$\left(4,\ 7\right)$

b)

$\left(\frac{1}{4},\ \frac{1}{2}\right)$

c)

$\left(-5,\ 16\right)$

d)

$\left(4,\ -7\right)$

8.

Given the equations:

$5x+6y=12\ \ \ and\ \ \ 3x-2y=-4$

what is the value of 4y?

(a)

Choose from the below words

9.

What is the solution to the following equations?

$x+5y=2\ \ \ \ and\ \ \ \ \ x=-4y+5\ \ \ \$

a)

(3, 17)

b)

(17, 13)

c)

(9, -12)

d)

(17, -3)

10.

15f + 12 - 9 - 11f = 43

a)

f = - 9

b)

f = 11

c)

f = - 8

d)

f = 10

11.

-10(2m + 1) = - 50

a)

m = -7

b)

m = 20

c)

m = 5

d)

m = 2

12.

m - 7 + 5m = 11

a)

m = 6

b)

m = -2

c)

m = 4

d)

m = 3

13.

What is the solution to the system of equations?

a)

(3, 0)

b)

(6, 3)

c)

(4, 1)

d)

(1, 4)

14.

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

15.

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

16.

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

17.

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

a)

(1, 4) and (4, 6)

b)

(-4, -1) and (-6, -4)

c)

(-1, -4) and (-4, -6)

d)

(4, 1) and (6, 4)

18.

What is the inverse of the points
(1,3)(2,4)(6,8)

a)

(3,1)(4,2)(8,6)

b)

(-3,-1)(-4,-2)(-8,-6)

c)

(1,3)(2,4)(6,8)

d)

(-1,-3)(-2,-4)(-6,-8)

19.

$f\left(x\right)=5x+1$ Find $f^{-1}\left(x\right)$

a)

$f^{-1}\left(x\right)\ =5x\ -\ \frac{1}{5}$

b)

$f^{-1}\left(x\right)\ =\frac{x}{5}-1$

c)

$f^{-1}\left(x\right)\ =\ x-\frac{1}{5}$

d)

$f^{-1}\left(x\right)\ =\frac{1}{5}x\ -\ \frac{1}{5}$

20.

Find the domain and range of the INVERSE of the following function

a)

Domain: {-2, -1, 1, 8}

Range: {2, 3, 5}

b)

Domain: {2, 3, 5}

Range: {-2, -1, 1, 8}

c)

Domain: {-1, 8, 1, -2}

Range: {3, 2, 3, 5}

d)

Domain: {3, 2, 3, 5}

Range {-1, 8, 1, -2}

21.

If this is the table for f(x), what is the correct table for f^-1(x)?

a)

b)

c)

d)

22.

Was the inverse function found correctly?

a)

no,

b)

yes

23.

Which is f ^-1(x)?

a)

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

b)

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

c)

f^-1(x) = 3x - 15

d)

f^-1(x) = 3x + 15

24.

$h\left(x\right)=-\frac{2}{x-1}-3$
Find the inverse of the function.

a)

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

b)

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

c)

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

d)

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

25.

FInd the inverse of the function.
$f\left(x\right)=\frac{3x-15}{2}$

a)

$f^{-1}\left(x\right)=-x-5$

b)

$f^{-1}\left(x\right)=3x+5$

c)

$f^{-1}\left(x\right)=\frac{15+2x}{3}$

d)

$f^{-1}\left(x\right)=\frac{2}{3}x-\frac{19}{3}$

26.

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

a)

(1, 4) and (4, 6)

b)

(-4, -1) and (-6, -4)

c)

(-1, -4) and (-4, -6)

d)

(4, 1) and (6, 4)

27.

What is the inverse of the points (1,3)(2,4)(6,2)

a)

(2,6)(3,1)(4,2)

b)

(-3,-1)(-4,-2)(-2,-6)

c)

(1,3)(2,4)(6,2)

d)

(-1,-3)(-2,-4)(-6,-2)

28.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

29.

Solve the inequality.

30 + n ≥ 50

a)

n ≥ 50

b)

x ≥ 80

c)

n ≤ 30

d)

n ≥ 20

30.

Will my dot be colored in?
5 ≥ x

a)

Yes

b)

No

31.

Does the sign need to flip when solving?
-2x ≥ 22

a)

YES

b)

NO

32.

Solve
-5m < 10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

33.

Solve

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

34.

Does the sign need to flip when solving?
8y < (-40)

a)

YES

b)

NO

35.

Does the sign need to flip when solving?
m - 5 > 8

a)

Yes

b)

No

36.

Solve for t.

6t + 4 ≤ -2

a)

t ≤ -1

b)

t ≤ 1

c)

t=1

d)

1=t

37.

Solve for k.
2k - 9≤ -19

a)

k ≤ -5

b)

k ≤ 5

c)

k < -5

d)

k < 5

38.

3x - 2 ≥ 34

a)

x ≥ -12

b)

x ≤ -12

c)

x ≤ 12

d)

x ≥ 12

39.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

40.

Consider the function y < 2x+3. Which is true?

a)

The line would be solid with shading above.

b)

The line would be dashed with shading above.

c)

The line would be solid with shading below.

d)

The line would be dashed with shading below.

41.

Which of the following equations match the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

42.

Which of the following equations match the given graph?

a)

$y\le-\frac{5}{4}x+3$

b)

$y\ge-\frac{5}{4}x+3$

c)

$y<-\frac{4}{5}x+3$

d)

$y>-\frac{5}{4}x+3$

43.

Which of the following equations match the given graph?

a)

$y\ge\frac{2}{5}x+1$

b)

$y\ge\left(-\frac{2}{5}\right)\ x+1$

c)

$y\le\frac{2}{5}x+1$

d)

$y<\frac{2}{5}x+1$

44.

Consider the inequality:
y= -x + 4
Identify the slope and y-intercept.

a)

m=4, b=-x

b)

m=-x, b=4

c)

m=1, b=4

d)

m=-1, b=4

45.

Solid or dashed line?
Y ≥

a)

Solid

b)

Dashed

46.

Solid or dashed line?
Y <

a)

Solid

b)

Dashed

47.

a)

y ≤ 2x - 4

b)

y ≥ 2x - 4

c)

y < 2x - 4

d)

y > 2x - 4

48.

Find the slope

a)

4/5

b)

5/4

c)

-5/4

d)

-4/5

49.

What is the definition of y-intercept?

a)

The point where the graph of the line crosses the x-axis.

b)

The point where the graph of the line crosses the y-axis.

c)

The point where the graph of the line crosses the z-axis.

d)

The point where the graph of the line crosses the c-axis.

50.

What is the definition of x-intercept?

a)

The point where the graph of the line crosses the x-axis.

b)

The point where the graph of the line crosses the y-axis.

c)

The point where the graph of the line crosses the z-axis.

d)

The point where the graph of the line crosses the c-axis.

51.

Which inequality is equivalent to
-y < x - 8 ?

a)

y < x + 8

b)

y > x + 8

c)

y > -x + 8

d)

y < -x + 8

52.

a)

y ≤ -2x - 1

b)

y ≥ -2x - 1

c)

y ≤ 2x - 1

d)

y ≥ 2x - 1

53.

Choose the correct inequality for this graph.

a)

b)

c)

d)

54.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

55.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

56.

Are the points on the line part of the solution set or not? For example

a)

Yes, they are part of the solution set

b)

No, they are NOT part of the solution set

57.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

58.

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

a)

Yes because it is located in the shaded region.

b)

No because it is located on the line and the line is dotted.

c)

Yes because it is located on the line.

d)

No because it is in the shaded region.

59.

Where would you find a solution for

y < -x + 4

a)

In the shaded region above the line.

b)

In the shaded region below the line.

c)

On the line.

d)

On the origin.

Equations, Systems of Equations, Inverse Functions, Inequalities

Total questions: 59

Worksheet time: 9hrs 24mins

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