Which two expressions are equivalent?ResponsesA (14 – 6) – y and 14 – (6 – y)(14 – 6) – y and 14 – (6 – y )B y ÷ (16 ÷ 4) and (y ÷ 4) ÷ 16y ÷ (16 ÷ 4) and ( y ÷ 4) ÷ 16C (9 + 7) • y and 9 + (7 • y)(9 + 7) • y and 9 + (7 • y )D (11 • 2) • y and 11 • (2 • y)(11 • 2) • y and 11 • (2 • y )
Question
Which two expressions are equivalent?ResponsesA (14 – 6) – y and 14 – (6 – y)(14 – 6) – y and 14 – (6 – y )B y ÷ (16 ÷ 4) and (y ÷ 4) ÷ 16y ÷ (16 ÷ 4) and ( y ÷ 4) ÷ 16C (9 + 7) • y and 9 + (7 • y)(9 + 7) • y and 9 + (7 • y )D (11 • 2) • y and 11 • (2 • y)(11 • 2) • y and 11 • (2 • y )
Solution
The two equivalent expressions are D: (11 • 2) • y and 11 • (2 • y).
Here's why:
For option D, we can use the associative property of multiplication, which states that the way in which factors are grouped in a multiplication problem does not change the product.
So, (11 • 2) • y = 22 • y and 11 • (2 • y) = 11 • 2y = 22 • y.
Therefore, these two expressions are equivalent.
Similar Questions
Which two expressions are equivalent?ResponsesA (9 + 4) • x and 9 + (4 • x)(9 + 4) • x and 9 + (4 • x )B (11 – 6) ÷ x and x ÷ (6 – 11)(11 – 6) ÷ x and x ÷ (6 – 11)C 7 + (6 • x) and 7 + (x • 6)7 + (6 • x ) and 7 + ( x • 6)D (x – 11) ÷ 7 and x – (11 ÷ 7)
Which expression is equivalent to (n ÷ 14) + 11?ResponsesA 14 ÷ (n + 11)14 ÷ ( n + 11)B n ÷ (14 + 11)n ÷ (14 + 11)C 11 + (n ÷ 14)11 + ( n ÷ 14)D (14 ÷ n) + 11
4(y + 8)Which expression is equivalent to the expression shown above?ResponsesA 4 + y + 4 + 84 + y + 4 + 8B 4y + 84 y + 8C 4y + 324 y + 32D 4 + y + 8
Which two expressions are equivalent? Select one:12 – (y ∙ 2) and 12 – (2 ∙ y)highlight_off4 + (3 ∙ y) and (4 + 3) ∙ yhighlight_off(10 – 6) ÷ y and 10 – (6 ÷ y)highlight_off(18 ÷ y) + 10 and 10 + (y ÷ 18)highlight_off
Which expression is equivalent to 18 – (8 • q)?ResponsesA (18 – 8) • q(18 – 8) • qB (8 • q) – 18(8 • q ) – 18C (18 – q) • 8(18 – q ) • 8D 18 – (q • 8)
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