Algebraic Expressions and Equations Flashcards
7 cards from real BECE practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Algebraic Expressions and Equations flashcards as text
Which of the following pairs of terms are like terms?
Answer: 3xy and 7xy
Like terms must have the same variable(s) and exponent(s); 3xy and 7xy both have xy.
Solve the inequality 2x − 1 > 7.
Answer: x > 4
2x > 8, so x > 4.
The sum of two consecutive integers is 47. What is the smaller integer?
Answer: 23
Let the integers be n and n+1; n + n + 1 = 47 gives n = 23.
Simplify: 4m − 3n + 2m + 5n.
Answer: 6m + 2n
Combine like terms: (4m + 2m) + (−3n + 5n) = 6m + 2n.
If p = 2 and q = −3, find the value of p² − 2pq.
Answer: 16
p² − 2pq = 4 − 2(2)(−3) = 4 + 12 = 16.
Factorise: x² − 5x + 6.
Answer: (x − 2)(x − 3)
Find two numbers that multiply to 6 and add to −5: −2 and −3 give (x − 2)(x − 3).
What is the degree of the polynomial 4x³ − 2x + 7?
Answer: 3
The degree is the highest exponent, which is 3 in 4x³.