Algebra 1st Nine Weeks Test Review
NAME___________________
1. The number 50 can be best classified as which type of number?
2. A number is multiplied by 4, and the product is added to 8. The result is 40. Find the number.
3. If x = 0, which of these expressions has a value of 0?
A. ( x + 4) 4+5
B. (x – 6)(1+5)
C. x (3 + 1 - 4)
D. x + (34 – 4)
4. Simplify: –(5y – 9) + 3y
5. Evaluate this expression?
42  72
6. Write the expression that represents, “The square of the difference of 10 and a number”?
7. What value of x makes the equation 5x – 3 = 12 true?
A. 2
B. 3
C. 4
D. 5
8. Evaluate the following expression if a = 5, b = 8, c = –3
a(b – 5)2
9. Write an algebraic expression for the sum of the square of a number and 6
10. Which subset of the real number system best classifies the number ( 0 )
11. Evaluate 8(5 + 3 1) (2  6 – 7)
12. What value for x makes the following equation true? 4(2x –1 ) = –10(x – 5)
A. 2
B. 3
C. 4
D. 5
13. What is the simplest form of 4x + 5y – 3(2x – 2y)?
14. What is the value of -30 + (-25) + 57 + (-4)?
15. Which property best describes the following algebraic sentence? 125 + (15 –10) = 125 + 5
A. reflexive property B. transitive property C. substitution property D. symmetric property
16. Evaluate the following expression using the given values. x= 6
x(8 – 3y) + 4z
y = 1/2 and
z = 2/3
17. Which property best describes the following algebraic sentence? –5(ab + 8) = –5(ba + 8)
18. Simplify the following algebraic expression. 2(2x – 5) + 6(–9 – 2x) – (–5)
19. Which property best describes the following algebraic sentence? 3z2 – 2z2 = (3 – 2)z2
20. Which property best describes the following algebraic sentence? 15 – 9 = 15 – 9
21. Which property best describes the following algebraic sentence? 6(ab + 5) = 6(5 + ab)
22. Use the order of operations to evaluate the following expression. [17 – (7 + 1)]  3
23. Evaluate the following expression if x = 2, y = 6, z = –4
(2xy)/(z)
24. What is the solution to the equation n – 83 = –51?
25. What is the solution to –3x = 7.5?
26. The formula for the area of a trapezoid (A) with its height (h) and bases (b and B) is:
1
A  (b  B)( h)
2
b
h
B
What is the area of the trapezoid whose height (h) is 6 cm and whose bases are 7 cm (b) and
9 cm (B)?
 5  3  w x    11 13
27. What are the missing values? 
  2


 2 6   y z   18 8 
x 
 8 18
2
28. The matrix 
is multiplied by a scalar, and the resulting matrix is 

 is formed.
 6 9 
 y 2.25
Find the scalar and the missing values of x and y.
29. Solve and graph 5x – (3x – 1) < 4x – 2(4x – 3)
30. What is the sum and product of the solutions to 2 3x  1  2  24 ?
31. What is the sum and product of the solutions to the equation
3x  1
5
7?
32. Solve and graph the inequality 3  2 x  4  27 .
33. What is the inequality that represents the following number line:
–8
2
34. The OHS football team is averaging 28 points per game. The last three games, the team has
scored within 8 points of their average. Write an inequality that represents the number of points the
team has possibly scored in their last three games.
35. If f(x) = 3x2 + 2x – 5, find f(–2).
36. Find the range of the function f(x) =
x4
if the domain is {–4, 0, 8}.
2
37. Find the domain of the function g ( x) 
2
x  4 if the range is {–10, 0, 6}.
3
38. What is the domain and range of the following graph?
39. Which of the following graph(s) is/are functions?