Practice Quiz: Which Expression Is Equivalent To (100)

Using the distributive property, multiply 3 by x and 3 by 2 to get 3x + 6. Only one answer matches the result of this distribution.

Combine like terms by adding the coefficients: 2 + 5 equals 7, so the correct simplified expression is 7y. The other options show common miscalculations.

Subtracting a negative number turns the subtraction into an addition. Therefore, x - (-3) simplifies directly to x + 3.

Subtract the coefficients of like terms: 4 minus 2 equals 2, so the simplified form is 2a. The other options either ignore the variable or add coefficients incorrectly.

Apply the distributive property by multiplying 5 by each term inside the parentheses: 5 × 2 equals 10 and 5 × z equals 5z. This clearly produces the expression 10 + 5z.

First, distribute 3 into (x + 4) to obtain 3x + 12. Then subtract 2x, which yields x + 12 as the simplified expression.

Distribute 2 over 4y - 3 to get 8y - 6, then add y resulting in 9y - 6. Only this option correctly combines the like terms.

Distributing the negative sign across the parentheses flips the sign of each term, resulting in -2x + 5. This is the only option that correctly represents the expression.

Distribute to get 4x - 12 and 4 - 2x from the expressions, then combine like terms: (4x - 2x) results in 2x and (-12 + 4) gives -8. This leads to 2x - 8 as the correct answer.

First, distribute the negative sign to obtain 6 - 3 - x, then add 2x to get x + 3. The proper combination of like terms leads to the correct simplified expression.

Multiply 2 by each term inside the parentheses to get 6 - 2x, then subtract this from 7, which simplifies to 2x + 1. This option is the only one that correctly reflects the distributive and subtraction steps.

Distribute to get 4 + 8x and -6x - 3; then, combine the like terms which gives 2x + 1. This is the only option that correctly consolidates both the x-terms and the constants.

Distribute to obtain 10a + 15 from the first term and -6a + 8 from the second. Combining like terms (10a - 6a) and constants (15 + 8) yields 4a + 23, which is the correct answer.

Remove the parentheses by distributing the negative sign to the second grouping: this turns (2x - 4) into -2x + 4. Combining like terms with (3x + 5) results in x + 9 as the simplified form.

Distribute 6 over (2 - y) to obtain 12 - 6y, then add 3y to combine like terms, resulting in 12 - 3y. This is the only option that displays the correct arithmetic operations.

Distribute the numbers in the parentheses: 2(3x - 4) gives 6x - 8 and -3(2x - 5) gives -6x + 15. Adding x to these results in the x terms simplifying to x and the constants summing to 7, so the final expression is x + 7.

Start by distributing each multiplier: 4(x + 3) becomes 4x + 12, -2(2x - 5) becomes -4x + 10, and 3(1 - x) becomes 3 - 3x. Combining like terms gives (-3x) for the x terms and 12 + 10 + 3 = 25 for the constants, resulting in -3x + 25.

Factor out the common term 3x from the numerator to get 3x(2x - 3), then cancel the common factor with the denominator 3x. This simplification results in the expression 2x - 3, which is the only correct option.

First, distribute to obtain 6x + 12 from 3(2x + 4) and 6x - 12 from 2(3x - 6). Combining these results with the -5 gives 12x - 5, making it the correct equivalent expression.

Begin by simplifying inside the brackets: 3(x + 2) becomes 3x + 6, and subtracting 4 gives 3x + 2. Multiplying by 2 yields 6x + 4, and finally adding 5 produces 6x + 9 as the equivalent expression.