Algebra 1 Quiz With Answers: Test Your Knowledge Now

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Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a bachelor's degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher.
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About This Quiz

Do you think you have a good understanding of algebra? Check out this awesome Algebra 1 quiz that we have created below for you. Algebra is an interesting and bit tricky topic of mathematics subject. Will you be able to pass this test? Well, try taking this quiz, and you can find out the answer today itself! So, give this quiz a try and get to test your knowledge.

Algebra forms the foundation for more advanced mathematics and real-world problem-solving. Whether you're a high school student, a college applicant, or simply someone looking to refresh your skills, this quiz is designed to challenge and reinforce your understanding of algebraic concepts.

By participating, you'll be able to identify areas where you excel and aspects that might require more study. Don't miss this chance to prove your algebra prowess and maybe even learn something new along the way!

Algebra 1 Quiz With Answers: Test Your Knowledge Now - Quiz

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  • 2. 

    What is the value of 𝑥 in the equation 2𝑥+3=11?

    • 3

    • 4

    • 5

    • 6

    Correct Answer
    A. 4
    Explanation
    To solve for x, you need to isolate x on one side of the equation. Start by subtracting 3 from both sides to eliminate the constant term on the left side:
    2x+3−3=11−3
    This simplifies to:
    2x=8
    Next, divide both sides by 2 to solve for 
    2x= 8/2
    ​Resulting in:
    x=4

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  • 3. 

    Which term describes a polynomial with two terms?

    • Monomial

    • Binomial

    • Trinomial

    • Polynomial

    Correct Answer
    A. Binomial
    Explanation
    In algebra, a polynomial with two terms is called a binomial. Each term is referred to as a monomial, and a binomial consists of two such monomials. Common examples include expressions like x+y and 3x2−2x. The prefix "bi-" indicates two, aligning with the number of terms.

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  • 4. 

    What will be the value of x in this equation:  2x - 4 = 0

    • 0

    • -2

    • 2

    • 1

    • 4

    Correct Answer
    A. 2
    Explanation
    To find the value of 
    𝑥 in the equation 2x−4=0, you can follow these steps:
    Add 4 to both sides of the equation to isolate the term with 
    x on one side:
    2x−4+4=0+4
    2x=4
    Divide both sides by 2 to solve for 𝑥
    2x / 2 = 4/2
    x=2
    Thus, the value of 
    x is 2.

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  • 5. 

    Solve for y in the equation: 3y−6=9.

    • 6

    • 5

    • 3

    • 1

    Correct Answer
    A. 5
    Explanation
    Begin by adding 6 to both sides to remove the constant term from the left side:
    3y−6+6=9+6
    Simplifying gives:
    3y=15
    y=15/3
    y=5

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  • 6. 

    Solve: 4/2 + 7/2 =

    • 5 1/4

    • 5  1/2

    • 11/4

    • 7/4

    • 5 2/1

    Correct Answer
    A. 5  1/2
    Explanation
    The given expression involves adding two fractions with a common denominator of 2. When we add 4/2 and 7/2, we get a sum of 11/2. However, 11/2 can be simplified to the mixed number 5 1/2. Therefore, the correct answer is 5 1/2.

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  • 7. 

    Which expression represents the distributive property?

    • [a(b+c)=ab+ac]

    • [a+b=b+a]

    • [a(bc)=(ab)c]

    • [a(b−c)=ab−ac]

    Correct Answer
    A. [a(b+c)=ab+ac]
    Explanation
    The distributive property states that multiplying a number by a sum is the same as multiplying the number by each addend separately and then adding the results. In this case, a(b+c) = ab + ac demonstrates the distributive property, where "a" is distributed to both "b" and "c." The other expressions represent different mathematical properties: B) is the commutative property of addition, C) is the associative property of multiplication, and D) is another form of the distributive property but with subtraction.

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  • 8. 
    Use the formula above, when x = -1 to find the value for y. - ProProfs

    Use the formula above, when x = -1 to find the value for y.

    • 6

    • -4

    • 8

    • 5

    • 0

    Correct Answer
    A. 6
    Explanation
    To find the value of ( y ) when ( x = -1 ) using the given formula, we can substitute ( x ) into the equation shown on the graph:

    [ y = (x-1)^2 + 2 ]

    Substituting ( x = -1 ):

    [ y = (-1-1)^2 + 2 = (-2)^2 + 2 = 4 + 2 = 6 ]

    Therefore, when ( x = -1 ), the value of ( y ) is ( 6 ).

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  • 9. 

    Simplify: (x2−3x+2)−(2x2−5x+4)

    • -x2+2x−2

    • −x2+8x−6

    • 3x2−2x+6

    • X2−8x+6

    Correct Answer
    A. -x2+2x−2
    Explanation
    To simplify this expression, distribute the negative sign across the terms in the second polynomial:
    x2−3x+2−2x2+5x-4
    Combine like terms (terms with the same variable raised to the same power):
    (x2−2x2)+(−3x+5x)+(2−4)
    This results in:
    -x2+2x−2

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  • 10. 

    What will be the value of z in this equation- 5(z + 1) = 3(z + 2) + 11. 

    • 6

    • -6

    • 4

    • 9

    Correct Answer
    A. 6
  • 11. 
    Use the formula above to find a when b = 4, c = 5. - ProProfs

    Use the formula above to find a when b = 4, c = 5.

    • 2

    • 1

    • 4

    • 6

    • 3

    Correct Answer
    A. 3
    Explanation
    To find the value of ( a ) using the Pythagorean theorem when ( b = 4 ) and ( c = 5 ), the formula used is:

    [ a^2 + b^2 = c^2 ]

    Given ( b = 4 ) and ( c = 5 ), substitute these values into the formula:

    [ a^2 + 4^2 = 5^2 ]
    [ a^2 + 16 = 25 ]

    Now, solve for ( a^2 ):

    [ a^2 = 25 - 16 ]
    [ a^2 = 9 ]

    Taking the square root of both sides gives:

    [ a = √{9} ]
    [ a = 3 ]

    Thus, when ( b = 4 ) and ( c = 5 ), the value of ( a ) is ( 3 ).

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  • 12. 

    What is the slope of a line containing the points (3,2) and (-1,0).

    • -3/2

    • -1

    • 2/1

    • 1/2

    Correct Answer
    A. 1/2
  • 13. 

    Find the value of x in this equation: x + 2(x + 7) = 14x– 7. 

    • 3/2

    • 21/11

    • 11/7

    • 2/5

    Correct Answer
    A. 21/11
    Explanation
    To find the value of x in the equation, we first distribute the 2 to the terms inside the parentheses: x + 2x + 14 = 14x - 7. Then, we combine like terms: 3x + 14 = 14x - 7. Next, we isolate the variable terms on one side and the constant terms on the other side: 14 + 7 = 14x - 3x. Simplifying further, we have 21 = 11x. Finally, we divide both sides by 11 to solve for x, resulting in x = 21/11. 

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  • 14. 

    12q – 10 = 14q + 2. Find q. 

    • 8

    • 6

    • -6

    • 0

    Correct Answer
    A. -6
    Explanation
    Start by isolating the variable q on one side of the equation. To do this, you need to move all terms with q to one side and constants to the other side.
    12q - 14q = 2 + 10
    -2q = 12
    Now, divide both sides by -2 to solve for q:
    (-2q) / (-2) = 12 / (-2)
    q = -6
    So, the value of q is q = -6.

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  • 15. 

    (x – 2) / 4 – (3x + 5) / 7 = – 3, x = ?

    • 5

    • 15

    • 10

    • 2

    Correct Answer
    A. 10
Janaisa Harris |BA (Mathematics) |
High School Math Teacher
Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a bachelor's degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher.

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  • Current Version
  • Nov 13, 2024
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    Expert Reviewed by
    Janaisa Harris
  • Jun 18, 2009
    Quiz Created by
    Agnesafreelove
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