The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
Play this informative quiz on high school algebra and test your concepts. Most people have a hard time when it comes to Algebra, and most of them give up when it comes to tackling some questions. How good are you when it comes to Algebra? Below is a pretest of basic algebra and arithmetic for high school-level mathematics. Do you think you can tackle it? Give it a shot and get to find out!
Questions and Answers
1.
Evaluate: 10 - 2(3)
A.
-13
B.
4
C.
16
D.
24
E.
None of the above
Correct Answer B. 4
Explanation To evaluate the expression 10 - 2(3), we first simplify the multiplication within the parentheses: 2(3) equals 6. Then, we substitute this value back into the expression: 10 - 6 equals 4. Therefore, the correct answer is 4.
Rate this question:
2.
-2^{3} =
A.
-8
B.
-6
C.
8
D.
6
E.
9
Correct Answer A. -8
3.
6 - 3^{2}
A.
-9
B.
-3
C.
3
D.
6
E.
9
Correct Answer B. -3
Explanation The given expression is 6 - 32. When we subtract 32 from 6, we get -26. However, the answer choices provided do not include -26. Therefore, none of the answer choices match the result of the expression. Thus, the correct answer is not available.
Rate this question:
4.
Solve for x:
3x - 3 = 9
A.
X = 10x = -6
B.
X = 6
C.
X = 4
D.
X = -6
E.
None of the above
Correct Answer C. X = 4
Explanation To solve the equation 3x - 3 = 9, we need to isolate the variable x. Adding 3 to both sides of the equation, we get 3x = 12. Then, dividing both sides by 3, we find x = 4. Therefore, the correct answer is x = 4.
Rate this question:
5.
2k + 3 + 5k = 10
What should be the first step to solving the equation?
A.
Substituting values in for k
B.
Subtracting 5k from both sides of the equation
C.
Subtracting 2k from 2k and 5k.
D.
Adding 2k to 5k
E.
Dividing both sides of the equation by 2
Correct Answer D. Adding 2k to 5k
Explanation To solve the equation 2k + 3 + 5k = 10, you should perform the first step by simplifying and combining like terms:
2k + 5k = 7k
Now, the equation becomes:
7k + 3 = 10
Rate this question:
6.
2(m - 3) = 3m + 3The first step to solving this equation should be
A.
Subtracting 3m from both sides of the equation
B.
Combining 2m with 3m
C.
Distributing the 2 into (m - 3)
D.
Subtracting 3 from both sides of the equation
E.
Substituting values into m
Correct Answer(s) C. Distributing the 2 into (m - 3) E. Substituting values into m
Explanation The correct answer is "Distributing the 2 into (m - 3)". This is the first step to solving the equation because it allows us to eliminate the parentheses and simplify the expression. By distributing the 2, we multiply it by both m and -3, resulting in 2m - 6. This step is necessary before we can continue simplifying or solving the equation further. "Substituting values into m" is not the first step because we need to simplify the equation before substituting any values.
Rate this question:
7.
Simplify: (2x^{3})^{2}
A.
2x^5
B.
2x^6
C.
4x^5
D.
4x^6
E.
None of the above
Correct Answer D. 4x^6
Explanation To simplify the expression (2x^3)^2, we need to apply the exponent to both the coefficient and the variable. When we raise a power to another power, we multiply the exponents. In this case, we have (2x^3)^2, so the exponent 2 is applied to both 2 and x^3. Therefore, we have 2^2 * (x^3)^2 = 4x^6.
Rate this question:
8.
Write in simplest radical form: sqrt(200)
A.
10*sqrt(2)
B.
2*sqrt(10)
C.
5*sqrt(8)
D.
100*sqrt(2)
E.
None of the above
Correct Answer A. 10*sqrt(2)
Explanation The given expression is sqrt(200). We can simplify this by finding the largest perfect square that divides 200. Since 100 is the largest perfect square that divides 200, we can rewrite sqrt(200) as sqrt(100*2). Taking the square root of 100 gives us 10, so the expression simplifies to 10*sqrt(2). Therefore, the correct answer is 10*sqrt(2).
Rate this question:
9.
What is the slope of the equation
y = -2x + 3?
Correct Answer -2
Explanation The slope of an equation represents the rate at which the y-values change with respect to the x-values. In the given equation, y = -2x + 3, the coefficient of x is -2. This means that for every unit increase in x, the y-value decreases by 2 units. Therefore, the slope of the equation is -2.
Rate this question:
10.
What is the y-intercept of the equation,
y + 2x = 6
Correct Answer 6
Explanation The y-intercept of an equation represents the point where the line intersects the y-axis. To find the y-intercept, we need to set x=0 and solve for y. In this equation, if we substitute x=0, we get y+2(0)=6, which simplifies to y=6. Therefore, the y-intercept of the equation is 6.
Rate this question:
11.
What is the value of x in the following system of equations:3x - 2y = 03x + y = 9
Correct Answer 2 x=2
Explanation The given system of equations is solved using the method of substitution. In the first equation, we can isolate x by adding 2y to both sides, resulting in 3x = 2y. Then, we substitute this expression for x in the second equation, giving us 3(2y) + y = 9. Simplifying this equation, we get 6y + y = 9, which simplifies further to 7y = 9. Dividing both sides by 7, we find that y = 9/7. Finally, substituting this value of y back into the first equation, we can solve for x: 3x - 2(9/7) = 0. Simplifying this equation, we get 3x = 18/7, and dividing both sides by 3, we find that x = 6/7. Therefore, the value of x is 6/7, which is equivalent to 2 in decimal form.
Rate this question:
12.
Solve for x:x^{2} - x - 2 = 0
Correct Answer x = 2, x = -1 {2, -1}
Explanation The equation x^2 - x - 2 = 0 can be factored as (x - 2)(x + 1) = 0. Setting each factor equal to zero gives x = 2 and x = -1. Therefore, the solutions to the equation are x = 2 and x = -1, or {2, -1}.