Online Test — Algebraic Expressions (Two-step)
10 Questions • 20 min • Chapter MCQ
20:00
Question 1 of 10
easy
Simplify: 4x + 2y - x + 3y
3x + 5y
5x + 3y
3x + y
5x + 5y
Explanation: (4x - x) + (2y + 3y) = 3x + 5y
Question 2 of 10
easy
Simplify: 7a - 3b + 2a + b
9a - 2b
9a + 4b
5a - 2b
5a + 4b
Explanation: (7a+2a) + (-3b+b) = 9a - 2b
Question 3 of 10
easy
Apply distributive property: 3(2x + 5)
5x + 8
6x + 5
6x + 15
5x + 15
Explanation: 3 x 2x = 6x and 3 x 5 = 15, so 6x + 15
Question 4 of 10
medium
Simplify: 5(m - 4) + 2m
7m - 20
7m - 4
5m - 20
3m - 20
Explanation: 5m - 20 + 2m = 7m - 20
Question 5 of 10
medium
Factor: 6x + 9
3(2x + 3)
2(3x + 4.5)
6(x + 1.5)
9(2x/3 + 1)
Explanation: GCF of 6 and 9 is 3. So 6x + 9 = 3(2x + 3).
Question 6 of 10
easy
Write as an expression: 'Twice a number increased by 7'
2n + 7
n + 14
2(n + 7)
7n + 2
Explanation: Twice a number = 2n. Increased by 7 = +7. So 2n + 7.
Question 7 of 10
medium
Simplify: 8 - 3x + 2x - 5
3 - x
3 - 5x
13 - x
13 - 5x
Explanation: (8-5) + (-3x+2x) = 3 - x
Question 8 of 10
medium
Apply distributive property: -2(3x - 4)
-6x - 8
-6x + 8
6x - 8
6x + 8
Explanation: (-2) x 3x = -6x and (-2) x (-4) = +8. Result: -6x + 8.
Question 9 of 10
medium
Factor: 10y - 15
5(2y - 3)
5(2y + 3)
10(y - 1.5)
15(2y/3 - 1)
Explanation: GCF of 10 and 15 is 5. So 10y - 15 = 5(2y - 3).
Question 10 of 10
medium
Simplify: 3x + 2y - x + 4y - 2
2x + 6y - 2
4x + 6y - 2
2x + 2y - 2
4x + 2y - 2
Explanation: (3x-x) + (2y+4y) - 2 = 2x + 6y - 2