Free Printable Math 7 Plus Unit 8 Practice on Functions and Equations

1.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

2.

10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

3.

28 + 3r = 10r

a)

4

b)

7

c)

20

d)

28

4.

2(x + 6) + 3 = 9 + 5x

a)

16

b)

2

c)

-8

d)

-10

5.

-6(1 - 6r) = -2(r + 3)

a)

14

b)

0

c)

-11

d)

4

6.

Solve the equation for x:

a)

x = 5

b)

x = 0

c)

x = 2

d)

x = 1

7.

Solve the equation for x:

a)

x = 24

b)

x = 20/6

c)

x = 20

d)

x = 25/6

8.

Give the equation for the graph

a)

y = 5x - 3

b)

y = 4x + 2

c)

y =-2x + 5

d)

y = - 2x + 4

9.

What is the equation of this line?

a)

0

b)

undefined

c)

y = -2

d)

x = -2

10.

Find the equation of the line in slope-intercept form.

a)

y = - 1/4x - 3

b)

y = 1/3x + 3

c)

y = - 1/4x + 2

d)

y = 1/3x -3

11.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

12.

What is the function of the table?

a)

y = x + 3

b)

y = 3x

c)

y = x ÷ 3

d)

y = x - 3

13.

What is the equation of the linear function?

a)

y = -3x + 10

b)

y = -3x + 16

c)

y = 3x + 10

d)

y = 3x + 16

14.

What is the equation of the graph?

a)

y = -2

b)

y = 2

c)

x = -2

d)

x = 2

15.

4 + 4x = 4

a)

0

b)

1

c)

2

d)

-1

16.

-2(7x - 7) = 98

a)

-6

b)

6

c)

-8

d)

8

17.

6(-1x + 7) = -12

a)

9

b)

-9

c)

5

d)

-5

18.

6(-1x + 7) = -12

a)

9

b)

-9

c)

5

d)

-5

19.

Which situation matches the table if x represents hours, and y represents number of cookies?

a)

1 hour after baking the cookies, I had 20 left. My family ate 6 cookies every hour.

b)

I started with 20 cookies, then I gave 14 away and ended up with 3 cookies after 8 hours.

c)

I baked 20 cookies and after 3 hours I had baked 8 more.

d)

The number of cookies is going down by 8 each time, and there were 20 to start with.

20.

What is the y-intercept of the graph?

a)

-4

b)

0

c)

1

d)

4

21.

What is the equation of the line in slope-intercept form?

a)

$y=x$

b)

$y=2x$

c)

$y=x+2$

d)

$y=2x+2$

22.

What is the rate of change in the table?

a)

12

b)

8

c)

-6

d)

6

23.

Is the slope positive, negative, undefined, or zero?

a)

Positive slope

b)

Negative slope

c)

Undefined slope

d)

Zero slope

24.

Choose the equation that represents the function shown in the table above.

a)

y = 2x

b)

y = x + 12

c)

y = 12x

d)

y = x + 11

25.

The function rule is y = x + 2Which of the following ordered pair is NOT a possible solution to this function? Hint: substitute the x and y-coordinates to see if the equation is balanced based on this input/output.

a)

(0,2)

b)

(2,4)

c)

(5,7)

d)

(5,3)

26.

A theme park charges $35 admission plus $5 to see each show. Which graph above represents this situation?

a)

A

b)

B

c)

C

d)

D

27.

A plumber charges $60 for a visit plus $15 per hour. Which graph above represents this situation?

a)

A

b)

B

c)

C

d)

D

28.

4 = 2(x + 3)

a)

1/2 = x

b)

7/2 = x

c)

-1 = x

d)

5 = x

29.

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

a)

-8

b)

10

c)

-144

d)

answer not here

30.

Which is the correct order in which to solve multi-step equations?

a)

Distribute

Combine like terms

Get the variable on one side by add or subtracting

Divide or multiple

b)

Add or subtracting

Distribute

Combine like terms

Divide or multiple

c)

Divide or multiple

Add or subtracting

Distribute

Combine like terms

31.

What is $f\left(0\right)$ for the function $f\left(x\right)=2x+3$

a)

2x

b)

-3

c)

3

d)

10

32.

$f\left(x\right)=5x-12$ What is $f\left(-4\right)$

a)

-32

b)

-3

c)

-12

d)

3

33.

A letter that represents a number is called a _____.

a)

variable

b)

coefficient

c)

constant

d)

term

34.

3(x-8)=3x-24

a)

No Solution

b)

x=3

c)

Infinite Solutions

35.

$Given\ p\left(x\right)=5x\ what\ is\ the\ value\ of\ p\left(2\right)?$

a)

0

b)

10

c)

15

d)

5

36.

If a question asks you to find f(2), what does that mean?

a)

Let x = 2

b)

Let y = 2

37.

What is f(−4) for the function f?

f(x) = 2x + 3

a)

-5

b)

-4

c)

-2

d)

-7

38.

Solve:

2(2x + 3) = -6(x + 9)

a)

1.2

b)

6

c)

-6

d)

7.5

39.

What is f(5) for the function f?

f(x) = 2(x - 7)

a)

3

b)

-4

c)

-3

d)

1

40.

6 ( 2x+ 5 ) = 66

a)

x = 3

b)

x = 5.08

c)

x = 8

d)

x = 432

41.

What is the constant in the following expression? 8y + 5 - 35p

a)

8

b)

35p

c)

5

d)

8y

42.

Evaluate y = x + 5 when x = 3.

a)

8

b)

2

c)

9

d)

6

43.

Evaluate f(-2) if f(x) = x+3

a)

-1

b)

1

c)

5

d)

-5

44.

Evaluate y = 4x - 1 when x = 10.

a)

39

b)

41

c)

399

d)

38

45.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

46.

Solve:

7x + 19 = -2x + 55

a)

4

b)

14.8

c)

8.2

d)

-4

47.

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

a)

subtract 8n to both sides

b)

multiply 6n to both sides

c)

combine the like terms 4n + -6n

d)

add 1 to both sides

48.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

49.

Solve

-19 = -8 (-4+a) - (2a+1)

a)

-1

b)

14

c)

-5

d)

5

50.

Which step cannot be performed first when solving the equation

5 - 2(x - 7) = x + 1 + 3x

a)

Distributing -2 to (x - 7)

b)

Combining x and 3x

c)

5 - 2

51.

What is the first step in solving the equation 2a - 4(a - 5) = 10

a)

Add 4 to both sides

b)

Add the 2a and a

c)

Distribute 4 to a and -5

d)

Distribute -4 to a and -5

52.

What is the error?

a)

Adding 2x to 3x

b)

Subtracting 5 from both sides

c)

Adding 2x to -2x

d)

Dividing by 5 on both sides

53.

Solve: 5x + 15 = 10x - 40

a)

x = 10

b)

x = -10

c)

x = 11

d)

x = -11

54.

Solve:
2x + 1 = 2x - 1

a)

No Solution

b)

x = 0

c)

Infinitely Many Solutions

55.

The number before a variable is the _____.

a)

term

b)

constant

c)

coefficient

d)

variable

56.

a)

Function

b)

Not a Function

57.

a)

Function

b)

Not a Function

58.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

Math 7 Plus Unit 8 Practice on Functions and Equations

Total questions: 58

Worksheet time: 1hrs 27mins

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