Algebra 1
Practice Final Exam
Period: _____________
1. Solve: ¾ x2 = 27
A) + 36
C) + 6
Name: _____________
1. _______________
B) 36
D) 6
2. Solve x2 + 2x – 4 = 0
A) -1 + √5
C) -1 + 2√5
2. _______________
B) -2 + 2√5
D) -2 + √20
3. Write an algebraic expression for the following:
x
y
x
xy
x2
2
2x
2y
A) (2x)(xy)
C) (2x) + (xy)
3. _______________
B) (x + y)(x + 2)
D) (x + y) + (x + 2)
4. Simplify:
4. _______________
4
8x
__3y6z__
16x3
4yz
A) 3y5
2x
C) 1x
2y5
B) 3y8
6x
D) 2x
3y5
5. Solve: 12 – 4y > 4
A) y > 2
C) y < 2
5. _______________
B) y < -2
D) y > ½
6. The length of a rectangle is 16 ft longer than its width. 6. _______________
The area is 105 square feet. What are the dimensions?
A) 20 ft by 4 ft
C) 21 ft by 5 ft
B) 22 ft by 6 ft
D) 25 ft by 9 ft
7. If LBJ has 6 strawberry plants in his awesome garden
7. _______________
and is planting at a rate of 3 plants per minute, which
equation describes the number of plants p he will have
planted after m more minutes?
A) p = 6 + 3m
C) p = 6m + 3
B) p = 9m
D) 3p = 6m
8. Simplify: (-3x3y2)(2xy2)2
A) -6x5y6
C) -12x4y8
8. _______________
B) -12x5y6
D) 12x6y5
9. Solve: 10 + x – 2(3 + x) = 3
A) x = 0
C) x = -1
B) x = ½
D) x = 1
10. What degree is the following polynomial?
15x2y3z + 2x4yz – 6x3y3z3
A) 9
C) 15
11. _______________
B) x = -4
D) x = 4
12. Simplify: -3(2 + y) – (4 – 3y)
A) -10
C) -2 -6y
14. _______________
B) 3√4x
D) 4x
15. Over the course of 4 hours, the temperature dropped
from 80⁰ to 56⁰. What was the rate of change in
temperature in degrees per hour?
A) -6⁰ per hour
C) 24⁰ per hour
13. _______________
B) 20
D) 18
14. Simplify: (3√4x)(3√4x)(3√4x)
A) (4x)3
C) 64x3
12. _______________
B) -10 + 6y
D) -10 – 6y
13. By what number can each side of the equation
below be multiplied to clear all fractions?
-2/5 x + 1/6 = 3/2
A) 12
C) 30
10. _______________
B) 7
D) 10
11. Solve: 6x + 8 = -16
A) x = -3/4
C) x = 3/4
9. _______________
B) 6⁰ per hour
D) -8⁰ per hour
15. _______________
16. LBJ has $40 to spend at the fair. It will cost him $5
to enter and $2 for each ride. The solution to which
inequality represents the number of possible
rides r that LBJ can ride?
A) 5r + 2 < 40
C) 5 + 2r < 40
B) 5 + 2r > 40
D) 5r + 2r < 40
17. Which equation of a line would graph the line below?
A) y = 2x - 1
C) y = ½ x + 1
18. _______________
B) 3.6
D) 6.8
19. Evaluate the expression:
6–3∙8
42 - 7
A) 1/2
C) -2
19. _______________
B) -1/2
D) 2
20. Determine the number of solutions to the system of
equations below:
y = x2 + 2x + 4
y = (x-2)2
A) two solutions
C) infinitely many solutions
21. Solve:
17. _______________
B) y = ½ x - 1
D) y = - ½ x - 1
18. Solve for x:
A) 6.4
C) 4.6
16. _______________
B) no solution
D) one solution
4x + 2 = 6x - 6
A) x = 1/2
C) x = 2
20. _______________
21. _______________
B) x = 1/4
D) x = 4
22. Rewrite the expression using only addition:
-a - -b - c
A) -a + b + -c
C) a + b + c
B) –a + -b + -c
D) -a +b -c
23. What is the slope of the line that passes through
these two points?
(2,4) (4,10)
A) 1/2
C) 6
A) 24 and 20
C) 23 and 19
(2x + 3)(x2 – 4)
A) 5x5 - 8x - 12
C) 2x3 -5x2 -12
26. _______________
27. _______________
B) (25 + 5)(100 – 1)
D) 30(99)
28. Solve: √1.44
A) 0.12
C) 0.112
25. _______________
B) 2x3 + 3x2 – 8x – 12
D) 2x3 + 3x2 – 8x + 12
27. Which expression lets you best use the Distributive
Property to find the product of 30 and 99 mentally?
A) (25 + 5)99
C) 30(100 – 1)
24. _______________
B) 19 and 15
D) 21 and 17
25. Graph the solution to the inequality
-6x+1 > -2x-2
29.
23. _______________
B) 3
D) 1/3
24. The sum of two numbers is 42 and their difference
is 4. What are these two numbers?
26. Expand:
22. _______________
28. _______________
B) 12
D) 1.2
Find the dimensions of the rectangle shown below
if the area is 72 square feet.
x
x + 11.1
29.
30. Solve -4x2=-36
A) 3
B)-3
30.
C)±6 D)±3
31. Which value of w shows that the pattern 16w4 = w8 is not always
true?
A) w = -2
B) w = 0
C) w = 2
31. ______
D) w = 4
32. Solve: 12 + r – 2(r + 1) = 6
32. ______
33. The graph below shows lines m and n. Find the coordinates of the
intersection of the two lines.
A) (9,3)
B) (3,9)
C) (2,8)
33. ______
D) (-3,9)
34 Solve 4/5x=-3
34
35. Rewrite the expression using only addition:
x - -y - z
35.
A) x + y + -z
C) x + y + z
B) x + - y + - z
D) x + - y + z
36. Which of the following is not equivalent to a/b?
A) a ∙ 1/b
B) a/1 ∙ 1/b
C) a ÷ b
36. ______
D) 1/a ∙ b
37. Simplify: -2(a – 3b) – (-a – b)
A) -a – 4b
B) -a + 7b
37. ______
C) -a – 7b
38. The sum of two numbers is 35 and their product
is 300. What are these two numbers?
A) 10 and 25
C) 10 and 30
B) 5 and 30
D) 15 and 20
D) -a + 5b
38. ______
39. Which expression lets you best use the Distributive
Property to find the product of 20 and 95 mentally?
A) 2(10)95
C) 20(100 – 5)
39. ______
B) (20)(100 + 5)
D) 10(95)(2)
40. Use the quadratic equation to solve the equation x2 + 8x + 1 = 0
40.
41. Which trinomial is equivalent to ( 2r – 1 )2 ?
41.
A) 4r2 + 1
C) 4r2 + 4r + 1
B) 4r2 – 4r + 1
D) 4r - 2
42. Simplify: ( 2w3z )( 5wz4 )2
43. Solve the proportion
5.7
9
=
42.
𝑡
4
44. Which is an equation of a vertical line?
A) y = 7
C) y = -5x
43.
44.
B) x = 3y
D) x = 2
45. Solve for x if -3(x-3)=18
𝟑
45.
46. Given 𝒙−𝟓 , what value is NOT in the domain of the expression?
46.
𝟐𝒙 − 𝟑𝒚 = −𝟏
47. Solve the following system of equations {
𝟔𝒙 − 𝟐𝒚 = −𝟐𝟒
47.
48. Find the slope intercept equation for the line through the points (1,-5)
48.
and (4,1)
49. Given the function 𝒇(𝒙) = 𝟐𝒙𝟐 − 𝟑𝒙 + 𝟓, find the value of 𝒇(𝟑)
49.
50. Suppose a teacher lowers the grade of a 50-point assignment 20%
for each day it is late. Write an equation describing the number of points
y left after x days.
𝑦 = 2𝑥 + 1
51. Solve the following systems of equations {
𝑦 = −3𝑥 + 4
𝑎 =𝑏+2
53. Solve the following systems of equations {
𝑎 + 5𝑏 = 20
50.