# Algebraic Expressions Test 2 – Question Answers

Algebraic Expressions Test 2 – Question Answers: This sample question paper is based on various placement exam in U.S as well asย  U.S. Standardized Tests ACCUPLACER, ACT, GED, GMAT, GRE, LSAT, MAT, MCAT, NCLEX, Praxis, SAT, etc

### Algebraic Expressions Practice Test

SET 2

 1. Elijah has a square plot of side m and another triangular plot with base and height each equal to m. What is the total area of both plots? ๐ A. ย  \frac{3m^2}{2} ๐ B. ย  \frac{2m^3}{3} ๐ C. ย  \frac{3m^2}{5} ๐ D. ย  \frac{3m}{1} ๐ E. . ย  \frac{5m}{3}
Answer: A ย  \frac{3m^2}{2} (area of square plot + area of triangular plot)
 2. A travel agency charges $8 per km and levies a fixed charge of$ 50 for bus service. Write an algebraic expression for the above situation, if the bus is hired for x km. ๐ A. 3x + 40 ๐ B. 5x + 27 ๐ C. 2x + 39 ๐ D. 3x + 31 ๐ E. 8x + 50
Answer: E 8x + 50 (algebraic expression (8 ร x + 50)
 3. A teacher gets paid $70 per hour. Last week he worked for 9 hours and this week he will work for x hours. Write an algebraic expression for the money paid to him for both the weeks. ๐ A. 70(x + 9) ๐ B. x(70 + 9) ๐ C. 9 (x + 70) ๐ D. x (70 ร 9 ) ๐ E. 9 (x ร 7 ) Show Answers Answer: A 70(x + 9) (Money paid last week 70 ร 9 =$630 and money maid this week (70 ร x)=$70x, total money paid$630 + 70x = 70(x + 9)
 4. Liam collects 12 leaves and William collects x leaves for science project. After some time Liam loses 3 leaves and William collects 2x leaves. Which one of the following algebraic expression of the total number of leaves collected by both of them. ๐ A. 12 + 2x ๐ B. 12-9 + 3x ๐ C. 7 + 3x ๐ D. 3 + 3x ๐ E. 9 + 3x
Answer: E 9 + 3x (Liam collected 12-3=9 leaves andย  William x + 2x =3xย  so total is 9 + 3x
 5.Simplify combining like terms z2 + 13z2 โ 5z + 7z3 โ 15z ๐ A. 7z3 + 12z2 -20z ๐ B. 5z2 + 3z2 -11z ๐ C. 5z2 + 6z3 -10z ๐ D. 9z3 + 8z2 -6z ๐ E. 3z2 + 7z2 -13z
Answer: A. 7z3 + 12z2 -20z
 6.ย  Simplify combining like terms 5x2y โ 5x2 + 3yx2 โ 3y2 + x2 โ y2 + 8xy2 โ 3y2 ๐ A. 8x2y + 8xy2 โ 4x2 โ 7y2 ๐ B. 4x2y + 4xy2 โ 2x2 โ 3y2 ๐ C. 2x2y + 2xy2 ๐ D. 3x2 โ 5y2 ๐ E. 5xy2 โ 3x2 โ 2y2
Answer: A 8x2y + 8xy2 โ 4x2 โ 7y2
 7.ย  Add ab โ 4a, 4b โ ab, 4a โ 4b ๐ A. 1 ๐ B. 2 ๐ C. 3 ๐ D. 4 ๐ E. 0