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)
Question
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)
Solution
The equivalent expressions are C. 7 + (6 • x) and 7 + (x • 6). This is because multiplication is commutative, meaning the order of the numbers does not change the result. Therefore, 6 • x is the same as x • 6.
Similar Questions
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 )
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
Which expression is NOT equivalent to 3(x + 3)?ResponsesA 3x + 93 x + 9B (3 + x) • 3(3 + x ) • 3C 3(x + 9)3( x + 9)D 3 • x + 3 • 33 • x + 3 • 3
Which expression is equivalentto x x x x7 + 7 − 6 − 33 3( ) ( ) ?A) x x+ 103B) x x−13 + 103C) x x−13 + 43D) x x+ 4
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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