Algebra 2 Semester Exam Practice

  • CCSS
Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Dinkinsk
D
Dinkinsk
Community Contributor
Quizzes Created: 3 | Total Attempts: 2,047
| Attempts: 1,215 | Questions: 36 | Updated: Sep 2, 2025
Please wait...
Question 1 / 36
0 %
0/100
Score 0/100
1) Simplify  5x + 2y – 7x + y

Explanation

not-available-via-ai

Submit
Please wait...
About This Quiz
Algebra 2 Semester Exam Practice - Quiz

Note: ^ is used to note exponents ie. X^2 reads x to the second power.
It is importantthat when entering answers you use spaces between operation symbols.
Ex. 2x... see more+ 3y instead of 2x+3y
And no spaces before and after parenthesis or exponents
Ex. 2(x^-2 + 3)
see less

2)
We’ll put your name on your report, certificate, and leaderboard.
2) Solve 5x - 23 = 56; x = ____, round to the nearest tenth.

Explanation

To solve the equation 5x - 23 = 56, we need to isolate the variable x. First, we add 23 to both sides of the equation to get 5x = 79. Then, we divide both sides by 5 to solve for x, which gives us x = 15.8. Rounding to the nearest tenth, we get the final answer of 15.8.

Submit
3) Simplify 6(4x + 8y) + 2(3x – 6y)

Explanation

not-available-via-ai

Submit
4) Find the slope of the line that passes through the pair of points (-3,-5) and (7,5).
In your answer type the number only.

Explanation

not-available-via-ai

Submit
5) Solve 24p - 12 = 50; p = _____, round to the nearest hundredth.

Explanation

To solve the equation 24p - 12 = 50, we need to isolate the variable p. First, we add 12 to both sides of the equation, which gives us 24p = 62. Then, we divide both sides by 24 to solve for p. Simplifying this gives us p = 62/24 = 2.5833333. Rounding to the nearest hundredth, we get p ≈ 2.58.

Submit
6)   Evaluate the given expression if x = 4, y = 8, w = -2 and z = 3.       (x-y)² + 5wz

Explanation

not-available-via-ai

Submit
7)

Explanation

not-available-via-ai

Submit
8) Find the value of f(6) if f(x) = -4x - 2. 

Explanation

To find the value of f(6), we substitute x = 6 into the given function f(x) = -4x - 2. Therefore, f(6) = -4(6) - 2 = -24 - 2 = -26.

Submit
9) Write an equation in slope-intercept form for the line that satisfies the following condition.  Slope 3, and passes through (5,20).
Use spaces between operation symbols when typing your answer.  Ex. y = 3x - 2

Explanation

not-available-via-ai

Submit
10) Simplify  -3xy(6xy³- 4xy + 7y²)

Explanation

not-available-via-ai

Submit
11) (4 - 10ί) + (15 - 16ί)

Explanation

use spaces between operation symbols

Submit
12) Solve: squrt(2x - 2) + 12 = 14
x = ____  Type the number only for your answer.

Explanation

squrt(2x - 2), means the square root of 2x - 2

Submit
13) Simplify (-10x² – 4x + 8)- (6x² + 10x -3)

Explanation

not-available-via-ai

Submit
14) Simplify (4x² + 3x + 3) + (5x² – 13x – 8).  Use ^ for powers ie. x^2 is x to the second power.

Explanation

Submit
15) (5 + ί) + (6 - 12ί)

Explanation

not-available-via-ai

Submit
16) Express the given number or expression in scientific notation.  Round to the nearest hundredth.   0.0000269074

Explanation

use spaces between x
ex. 1.23 x 10^-5

Submit
17) Express the product in Scientific notation. Round to the nearest hundredth and use spaces between x, and no spaces before or after parenthesis or ^.
(6.34 x 10^-3)(6.3 x 10^-5)

Explanation

To multiply numbers in scientific notation, we multiply the coefficients and add the exponents. In this case, the product of the coefficients is 6.34 x 6.3 = 39.882. The exponents are -3 and -5, so we add them to get -8. Rounding 39.882 to the nearest hundredth gives us 39.88. Therefore, the product in scientific notation is 3.99 x 10^-7.

Submit
18) Solve the system of equations.     x – y = 4 and y = 2x – 6

Explanation

not-available-via-ai

Submit
19) Solve the system of equations.    2x + 5y = 12 and x – 3y = -2

Explanation

not-available-via-ai

Submit
20) M + 5 < 4 or m + 2 > 9

Explanation

The given equation is a compound inequality with two parts connected by "or". To solve it, we need to solve each part separately and then combine the solutions.

For the first part, m + 5
For the second part, m + 2 > 9, we subtract 2 from both sides to isolate m, giving us m > 7.

Combining the solutions, we get m 7. This means that m can be any value less than -1 or any value greater than 7.

Submit
21) Simplify 10squrt(162) - squrt(405) - squrt(200)

Explanation

squrt = sqare root. When typing your answer write it in the way the question is given.
Example: 30squrt(18) - squrt(5)

Submit
22) Solve:  squrt(x - 3) + 6 = 15

Explanation

To solve the equation, we first isolate the square root term by subtracting 6 from both sides: sqrt(x - 3) = 9. Then, we square both sides to eliminate the square root: x - 3 = 81. Adding 3 to both sides gives us x = 84. Therefore, the correct answer is 84.

Submit
23)

Explanation

not-available-via-ai

Submit
24) Factor  4xy – 3y – 40x + 30

Explanation

not-available-via-ai

Submit
25) Factor 2x² + 3x – 9

Explanation

Type no spaces after parenthesis or between
Ex. (x - 2)(x + 3)

Submit
26) Simplify sqrt(36x^12y^8)

Explanation

To simplify the given expression, we need to find the square root of each term. The square root of 36 is 6, the square root of x^12 is x^6, and the square root of y^8 is y^4. Therefore, the simplified expression is 6x^6y^4.

Submit
27) Solve- abs(x - 2) = 27, X = ____

Explanation

abs(x-2) means the absolute value of x - 2

Submit
28)

Explanation

not-available-via-ai

Submit
29) Describe the system of equation as consistent and independent, consistent and dependent, or none of these.   3x – 2y = 1 and 6x – 9y = 63

Explanation

The system of equations is consistent because there is at least one solution that satisfies both equations. It is also independent because the coefficients of x and y in both equations are not proportional to each other. Therefore, the system has a unique solution.

Submit
30)

Explanation

not-available-via-ai

Submit
31)

Explanation

not-available-via-ai

Submit
32) What is squrt(1344) divided by squrt(7)

Explanation

The given question asks for the result of dividing the square root of 1344 by the square root of 7. Simplifying this expression, we can rewrite the square root of 1344 as the square root of 64 times the square root of 21, which becomes 8 times the square root of 21. Similarly, the square root of 7 cannot be simplified further. Therefore, dividing 8 times the square root of 21 by the square root of 7 gives us 8 times the square root of 3.

Submit
33) Simplify  sqrt(200x^17y^24)

Explanation

not-available-via-ai

Submit
34)

Explanation

not-available-via-ai

Submit
35) Simplify squrt(-200x^8y^12)

Explanation

not-available-via-ai

Submit
36) Evaluate  squrt(-300) x squrt(-400)

Explanation

not-available-via-ai

Submit
View My Results
Cancel
  • All
    All (36)
  • Unanswered
    Unanswered ()
  • Answered
    Answered ()
Simplify  5x + 2y – 7x + y
Solve 5x - 23 = 56; x = ____, round to the nearest tenth.
Simplify 6(4x + 8y) + 2(3x – 6y)
Find the slope of the line that passes through the pair of points...
Solve 24p - 12 = 50; p = _____, round to the nearest hundredth.
  Evaluate the given expression if x = 4, y = 8, w = -2 and z =...
Find the value of f(6) if f(x) = -4x - 2. 
Write an equation in slope-intercept form for the line that satisfies...
Simplify  -3xy(6xy³- 4xy + 7y²)
(4 - 10ί) + (15 - 16ί)
Solve: squrt(2x - 2) + 12 = 14x = ____  Type the number only for...
Simplify (-10x² – 4x + 8)- (6x² + 10x -3)
Simplify (4x² + 3x + 3) + (5x² – 13x – 8). ...
(5 + ί) + (6 - 12ί)
Express the given number or expression in scientific notation. ...
Express the product in Scientific notation. Round to the nearest...
Solve the system of equations. ...
Solve the system of equations. ...
M + 5 < 4 or m + 2 > 9
Simplify 10squrt(162) - squrt(405) - squrt(200)
Solve:  squrt(x - 3) + 6 = 15
Factor  4xy – 3y – 40x + 30
Factor 2x² + 3x – 9
Simplify sqrt(36x^12y^8)
Solve- abs(x - 2) = 27, X = ____
Describe the system of equation as consistent and independent,...
What is squrt(1344) divided by squrt(7)
Simplify  sqrt(200x^17y^24)
Simplify squrt(-200x^8y^12)
Evaluate  squrt(-300) x squrt(-400)
Alert!

Back to Top Back to top
Advertisement