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Final Exam Practice Part 1

Total questions: 35

Worksheet time: 2hrs 36mins

Name
Class
Date
1.

Evaluate the expression for the given values. 5x - 3y + 2z

a)

17

b)

19

c)

13

d)

29

2.

Evaluate the expression for the given values. 5xy - z2

a)

14

b)

-46

c)

-14

d)

46

3.

Evaluate the expression for the given values. x ( y - 3z )

a)

-42

b)

-60

c)

-30

d)

-11

4.
Solve the equation
4(2x-5)=7(2x+4)
a)
8
b)
-8
c)
-1.5
d)
1.5
5.
Simplify: 6w - 6w + 6w + 9w
a)
w
b)
15w
c)
9w
d)
6w
6.
-5(-x + 3) 
a)
5x + 15
b)
5x - 15
c)
5 - 3x
d)
3x + 5
7.
 -9( -3h - 8) 
a)
-27h + 72
b)
27h + 72
c)
9 + 11h
d)
-9 + 11h
8.
2(4k + 7) 
a)
4k - 9
b)
4k + 9
c)
8k - 14
d)
8k + 14
9.

Solve: 2x - 5 = 4x + 3


Important: No spaces in your answer

(a)  

10.

Solve: -3x + 1 = -7x - 9


Important: No spaces in your answer

(a)  

11.
What would be the best first step to solving the equation in one step?
a)
multiply both sides by 3
b)
multiply both sides by -3
c)
divide both sides by -3
d)
add 3 to each side
12.

x8= 2\frac{x}{8}=\ 2  

(a)  

13.
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
14.

A music app charges $2 to download the app plus $1.29 per song downloaded. Write a linear equation to find the total cost to download 30 songs.

a)

y=1.29x + 2

b)

y=1.29 + 2x

c)

30 = 1.29x + 2

d)

y = 1.29(30) + 2

15.

An airplane at 30,100 feet above ground begins descending at the rate of 2,150 feet per minute. Write a linear equation to find how many minutes it will take the plane to reach the ground.

a)

y=30100 - 2150x

b)

y = 30100 + 2150x

c)

0 = 30100 - 2150x

d)

y = 30100 - 2150(0)

16.

A group of mountain climbers begin an expedition with 250 pounds of food. The plan to eat a total of 12 pounds of food per day. Write a linear equation to find the number of days their food will last.

a)

y = 250 + 12x

b)

y = 250 - 12x

c)

0 = 250 - 12x

d)

y = 250 - 12(0)

17.

A landscaping company bought a total of 25 plants and trees. The total cost of the plants and trees was $964. Each plant costs $12, while each tree costs $95. Which set of equations correctly represents this situation?

a)

p + t = 25

12p + 95t = 964

b)

p + t = 964

95p + 12t = 25

c)

107pt = 964

12p + 95t = 107

d)

25p = 964

18.

How many solutions would this system of equations have?

9y+8=9y-8

a)

No Solution

b)

One Solution

c)

Infinite Solution

19.

How many solutions would this system of equations have?

-10y-6 = -10y-6

a)

No Solution

b)

One Solution

c)

Infinite Solutions

20.

How many solutions would this system of equations have?

6m+18=2m+18

a)

No solution

b)

One Solution

c)

Infinite Solutions

21.

How many solutions would this system of equations have?

a)

No Solution

b)

One Solution

c)

Infinite Solutions

22.

How many solutions would this system of equations have?

a)

No Solution

b)

One Solution

c)

Infinite Solutions

23.

How many solutions would this system of equations have?

a)

No Solution

b)

One Solution

c)

Infinite Solutions

24.
The sum of three consecutive integers is 165. What is the smallest number?
a)
55
b)
65
c)
54
d)
53
25.
The sum of three consecutive odd integers 141. What are the three integers?
a)
47, 48 , 49
b)
45, 47, 49
c)
46, 48, 50
d)
41, 49, 51
26.
Three consecutive even integers are such that the sum of the smallest and 3 times the second is 38 more than twice the third.  Find the largest integer.
a)
20
b)
22
c)
24
d)
26
27.
Which of the following setups would be used to find four consecutive integers?
a)
n
n+2
n+4
n+6
b)
n
2n
4n
6n
c)
n+1
n+2
n+3
n+4
d)
n
n+1
n+2
n+3
28.
Which expressions can be used to represent the sum of 3 consecutive odd integers?
a)
n+1, n+2, n+3
b)
n, n+1, n+3
c)
n, n+1, n+2
d)
n, n+2, n+4
29.

The length of a rectangle is 4 inches more than twice the width. If the perimeter of the rectangle is 38 inches, what is the length?

a)

5

b)

6

c)

14

d)

15

30.

Elena doubles the amount of money she had in her bank account and now has $346.

a)

2x = 346

b)

x2=346\frac{x}{2}=346

c)

x + 2 = 346

d)

x - 2 = 346

31.

The product of negative eight and a number is 104.

a)

x−8=104\frac{x}{-8}=104

b)

-8x = 104

c)

-8 + x = 104

d)

-8 - x =104

32.

A number increased by negative twenty seven is 110.

a)

-27x = 110

b)

x - -27 = 110

c)

x + -27 = 110

d)

x - 27 = 110

33.

6x - 2 = 3

a)

the product of 6 and 2 minus a number is 3

b)

six times a number less than 2 equal 3

c)

six times a number minus 2 equals 3

34.

53 is 1 more than twice the number of students in class.

a)

53 = 2x -1

b)

53 = 1 + 2x

c)

53= 12x

35.

51 is 4 times the number of books, less 3.

a)

51 = 3 - 4x

b)

51 - 34x

c)

51 = 4x - 3

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