Download Algebra I, part 1

Algebra I
Chapter 3 Practice Test
Name___________________________ (2 points)
Please show all work. Select the correct answer to each multiple choice question. (2 points each – 1 for
the correct answer, 1 point for the correct work)
5 + x = 3
1. Which value of x makes this equation true?
A.
B.
C.
D.
100
8
2
2
8
7  x = 10
2. Which value of x makes this equation true?
A.
B.
C.
D.
3
3
17
17
x  ( 2) =  8
3. Which value of x makes this equation true?
A.
B.
C.
D.
6
6
10
10
4. Which value of x makes this equation true:
A.
8
3
B. −
8
3
C.
1
2
5. Which value of x makes this equation true:
A.
B.
C.
D.
D.
−
1
2
x
= 10
5
50
50
2
2
6. Which value of x makes this equation true:
A.
B.
C.
D.
x +
150
4.5
50
5
3
x = 15
10
3
8
=
10
10
Match each verbal expression with the correct algebraic expression. (1 point each)
_____7.
6 times a number increased by 3
A.
6x − 3
_____8.
6 times the sum of a number and 3
B.
6x + 3
_____9.
the quotient of 6 and a number, increased by 3
C.
3 − 6x
_____10.
3 less than 6 times a number
D.
6(x + 3)
E.
6
+3
x
Write an equation based on the given statement. Solve the equation. (2 points each)
11.
Twice a number increased by 7 is equal to 30.
12.
Three times a number subtracted from 9 is equal to 15.
Choose the correct simplification. (1 point each)
13.
14.
6(x + 3)
A.
6x + 18
B.
6x  18
C.
6x + 3
D.
6x  3
(x  7)
A.
x + 7
B.
x  7
C.
x  7
D.
x + 7
Simplify. Please show all work. (2 points each)
15.
3(x + 2) + 5x
16.
2x + 4(x  5)
17.
9  (x + 4)
18.
3x  5(x + 4)
Solve each equation. Show all work. Check. (2 points each)
19.
5x + 7 = 22
20. 3  2x = 13
21.
3
x  7 = 2
4
22.
1
2
x  2
4
3
Solve for x. If the equation has infinite solutions, please write IDENTITY. If the equation does not have a
solution, please write NO SOLUTION. Otherwise, clearly show the value of x. (4 points each)
23.
6x + 3 = 5x  10
25. 8x + 3x =  33
24. 5(x  3) = 8x
26. 5x + 15 = 2x
27. 7x  (5) + 2x = 5x + 17
28. 4x + 7 = 4(x + 3)  5
29. 3x + 9x  5 = 2x + 3
30. 5  7x = 2x  9x + 3
31. The volume of a rectangular prism is length times width times height.
(1 point each)
Solve for width (w):
Solve for length (l ):
V = lwh
Use these new formulas to answer the following:
32.
The volume of a prism is 90 units. Find the length if the width is 5 units and the height is 6 units.
Solve for y. (You will still have an x in your answer!) (3 points each)
33. 3x + y = 4
34. y  x = 9
35. y + 2x = 7
36. 3y  2x =  7
37.
The sum of three numbers is 32. The second number is two more than the first and the third
number is three times the first. Find the numbers. (3 points)
Let statement
Equation
Answer: _______________________________________________________________
38. The sum of three consecutive even integers is 60. What is the middle number?
(3 points)
Let statement
Equation
Answer: _______________________________________________________________
39. The length of a rectangle is 2 more than 3 times the width. The perimeter is 44 units. Draw a
diagram, write an equation, and solve for the width.
(3 points)
Let statement
Equation
Answer: _______________________________________________________________
40. Solve the proportions. (2 points)
a)
9 12

x 8
b)
x 3 7

x
10