OAR OAR Math Skills: Algebraic Expressions Questions and Answers 2 — Questions and Answers
Question 1: Simplify the expression: 3(2x - 4) + 5x
- 11x - 12 (Correct answer)
- 6x - 12
- 11x - 4
- 6x - 4
Correct answer: 11x - 12
Distribute 3 to get 6x - 12, then add 5x to get 11x - 12.
Question 2: If x = -3, what is the value of 2x² - 5x + 1?
- 34 (Correct answer)
- 4
- 22
- 16
Correct answer: 34
Substituting x = -3 gives 2(9) - 5(-3) + 1 = 18 + 15 + 1 = 34.
Question 3: Which expression is equivalent to (4a³b²)(3a²b⁵)?
- 12a⁵b⁷ (Correct answer)
- 12a⁶b¹⁰
- 7a⁵b⁷
- 12a⁵b¹⁰
Correct answer: 12a⁵b⁷
Multiply coefficients (4×3=12) and add exponents of like bases (a: 3+2=5, b: 2+5=7).
Question 4: Factor completely: x² - 9x + 20
- (x - 4)(x - 5) (Correct answer)
- (x - 2)(x - 10)
- (x + 4)(x + 5)
- (x - 4)(x + 5)
Correct answer: (x - 4)(x - 5)
Find two numbers that multiply to 20 and add to -9, which are -4 and -5.
Question 5: Simplify: (5x²y - 3xy² + 2y) - (2x²y + xy² - 4y)
- 3x²y - 4xy² + 6y (Correct answer)
- 3x²y - 2xy² + 6y
- 7x²y - 4xy² - 2y
- 3x²y - 4xy² - 2y
Correct answer: 3x²y - 4xy² + 6y
Distribute the negative sign and combine like terms: 5x²y-2x²y=3x²y, -3xy²-xy²=-4xy², 2y+4y=6y.
Question 6: What is the result of dividing 15a⁴b³ by 5a²b?
- 3a²b² (Correct answer)
- 3a²b³
- 10a²b²
- 3a⁶b⁴
Correct answer: 3a²b²
Divide coefficients (15÷5=3) and subtract exponents (a: 4-2=2, b: 3-1=2) to get 3a²b².
OAR OAR Math Skills: Algebraic Expressions Questions and Answers 2
Simplify the expression: 3(2x - 4) + 5x