Algebraic expressions are mathematical phrases that use letters, numbers, and operations to represent general relationships and quantities. They allow us to write formulas, solve problems with unknowns, and understand patterns in mathematics. Mastering algebraic expressions is essential for progressing in algebra and applying mathematics to science and real-world situations. These Algebraic expressions Grade 7 questions challenge students to work with more complex expressions and operations. Students can attempt these 10 MCQs to assess their ability to form, simplify, and evaluate algebraic expressions.
Given that A = 2x² - 3y + 4, B = 5y² - 2x/5 + y and C = 9x² + y - x, find the value of A + B - C.
Answer: (b) -7x² + 5y² + 3x/5 - 3y + 4
Write the algebraic expression corresponding to the following statement: The sum of two times of x and five times of y - 2 is subtracted from 7
Answer: (d) 17 - 2x - 5y
Subtract the expression 5r² + 6s + 3 from 25s - r.
Answer: (c) -5r² + 19s - r - 3
Find the value of (x + y)², if x - y = 28 and xy = 17.
Answer: (a) 852
Which of the following statements is false. I. The coefficient of x in the term -3xy² is -3y². II. Only like terms can be added and subtracted. III. The expression -2xy - 3yx is a binomial. IV. An algebraic expression having three terms is a trinomial.
Answer: (d) III
The combined weight of three boxes, box 1, box 2 and box 3, is (p² + 3q - r) kg. If the weight of box 1 is (2p² + 3r) kg and the weight of box 3 is 1 kg more than twice the weight of box 1, then find the weight of box 2.
Answer: (c) (3q - 10r - 5p² -1) kg
If 3x/y + 3y/x = 6 then find the value of x - y + 2.
Answer: (b) 2
The number of students in class II is 3 more than 7 times the number of students in class I, and the number of students in class III is 2 less than the number of students in class I. If the number of students in class I is 5x² + 3xy - 2, then find the difference in the number of students in class II and class III.
Answer: (a) 30x² + 18xy - 7
Rachel's age is five more than three times of Patric's age. If Patric's present age is (9a² - 2ab + 7b) years, then after four years, what will be the sum of their ages?
Answer: (d) 36a² - 8ab + 28b + 13
Read the passage carefully and answer the following question. A teacher kept the records of three students, David, Luci and Joseph, in four periodic tests. David obtained 3x² + 2, 5y - x, 2xy + y, and 8yx + 9x²; Luci obtained 3 - 5y, 3y² + 6z, 6x + z and 2z + 3xy and Joseph obtained 6z + y + 2, 7y² - 2, 5x + 3z and 4x + 5 in tests A, B, C and D, respectively. Add the differences of the marks obtained by Luci and Joseph in all four tests and determine the coefficient of the term z in the resultant expression.
Answer: (d) 0
| Topic | Quiz |
|---|---|
| Algebraic Expressions | Quiz on Algebraic Expressions |
| Data Handling | Quiz on Data Handling |
| Simple Linear Equations | Quiz on Simple Linear Equations |
| Exponents and Powers | Quiz on Exponents and Powers |
| Fractions | Quiz on Fractions |
| Integers | Quiz on Integers |
| Mensuration | Quiz on Mensuration |
| Profit, Loss and Percentage | Quiz on Profit, Loss and Percentage |
| Ratio and Proportion | Quiz on Ratio and Proportion |
| Rational Numbers | Quiz on Rational Numbers |
| Symmetry and Visualising Solid Shapes | Quiz on Symmetry and Visualising Solid Shapes |
| Triangles | Quiz on Triangles |
