Algebraic Expressions Practice Test Questions Answers: An algebraic expression is formed from variables and constants using different operations. Expressions are made up of terms. A term is the product of factors. Factors may be numerical as well as algebraic (literal). The coefficient is the numerical factor in a term. Sometimes, any factor in a term is called the coefficient of the remaining part of the term.
In general, an expression with one or more than one term (with nonnegative integral exponents of the variables) is called a ‘Polynomial’. To find the value of an expression, we substitute the values of the variables in the expression and then simplify.
Algebraic Expressions RealWorld Link
Cell Phone Charges For a cell phone plan that charges a monthly fee of $10 plus $0.10 for each minute used, you can use the equation C = 10 + 0.10m to calculate the monthly charges for using m minutes.
Algebraic Expressions Practice Test
Test Name 
Algebraic Expressions Test Prep 
Type of Question 
Multiple Choice Question Answers 
Subject 
Math 
Total Question 
10 
Test Type 
Sample / Mock Test 
Editable & Printable PDF / Doc 
YES (Download link is given below) 
Available of Answers 
YES 
Difficulty Level 
Elementary Algebra 
Algebraic Expressions Practice Test Question Answers
SET 1
1. The coefficient of xy in 3x^{2} zy + 7xyz – 2z^{2}x is 
🔘 A. 5z 
🔘 B. 3.5z 
🔘 C. 2 
🔘 D. 7z 
🔘 E. 5yz 
2. The factors of the term –xy^{2} are 
🔘 A. x × y × y 
🔘 B. – 1 × y × y 
🔘 C. – 1 × x × y 
🔘 D. – 1 × x × y × y 
🔘 E. NOTA 
Show Answers
Answer: D – 1 × x × y × y
3. Simplify the expression 7x^{3} – 3x^{2}y + xy^{2} + x^{2}y – y^{3} 
🔘 A. 7x^{3}– 2x^{2}y + xy^{2} – y^{3} 
🔘 B. 7x^{3}– 2x^{2}y + xy^{2} 
🔘 C. 7x^{3}– 2x^{3}y 
🔘 D. 7x^{3}– 2xy^{3} 
🔘 E. 17xy 
Show Answers
Answer: A. 7x^3– 2x^2y + xy^2 – y^3
4. Find the value of the following expressions at a = 1 andb = –2:
a^{3} + a^{2}b + ab^{2} + b^{3}

🔘 A. 1 
🔘 B. 0 
🔘 C. 10 
🔘 D. 5 
🔘 E. 1 
Show Answers
Answer: D. 5 = (1)^{3} + (1)^{2}(–2)+(1) (–2)^{2} + (–2)^{3 }= 1 – 2 + 4 – 8 = 5 – 10 = – 5
5. Find each side of an equilateral triangle given below, if it’s perimeter is 240 cm.

🔘 A. 38.5 cm 
🔘 B. 65.5 
🔘 C. 77 cm 
🔘 D. 80 cm 
🔘 E. 90.5 cm 
Show Answers
Answer: B. 80 cm
6. Number of terms in the expression 3x^{2}y – 2y^{2}z – z^{2}x + 5 is 
🔘 A. 1 
🔘 B. 0 
🔘 C. 2 
🔘 D. 4 
🔘 E. 2 
7. Which of the following is a pair of like terms? 
🔘 A. –7xy^{2}z, – 7x^{2}yz 
🔘 B. – 10xyz^{2}, 3xyz^{2} 
🔘 C. 3xyz, 3x^{2}y^{2}z^{2} 
🔘 D. 4xyz^{2}, 4x^{2}yz 
🔘 E. – 2xyz^{2}, 2x^{2}yz 
Show Answers
Answer: – 10xyz^{2}, 3xyz^{2}
8. The side length of the top of square table is x. The expression for perimeter is: 
🔘 A. 4 + x 
🔘 B. 2x 
🔘 C. 4x 
🔘 D. 8x 
🔘 E. 16x 
Show Answers
Answer: C. 4x
9. The value of 3x^{2} – 5x + 3 when x = 1 is 
🔘 A. 1 
🔘 B. 1 
🔘 C. 0 
🔘 D. 11 
🔘 E. 1.5 
10. The expression for the number of diagonals that we can make from one vertex of a n sided polygon is: 
🔘 A. 2n + 1 
🔘 B. n – 2 
🔘 C. 5n + 2 
🔘 D. n – 3 
🔘 E. 2n+2 
Show Answers
Answer: D n – 3
Algebraic Expressions Practice Test Question Answers
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