Expressions and Equations Quiz

Which of the following is an equation?

Answer explanation

An equation is a mathematical statement that asserts the equality of two expressions. The correct choice, 4x - 9 = 3, contains an equal sign, making it an equation, while the others do not.

• Yes, they are equivalent.

• No, they are not equivalent.

• (3*x) + (3 *2)

• 3(x+2) = 3X+2

Answer explanation

Yes, the expressions 3(x + 2) and 3x + 6 are equivalent. By distributing 3 in the first expression, we get 3*x + 3*2, which simplifies to 3x + 6.

• Yes, it makes the equation true.

• No, it does not make the equation true.

Answer explanation

To check if x = 3 makes the equation true, substitute 3 into 2x + 1: 2(3) + 1 = 6 + 1 = 7. Since 7 = 7 is true, the statement is correct. However, the question asks if it makes the equation true, which it does not.

Tags

TEKS.MATH.6.10B

Find an equivalent expression for the given expression: 36x + 24

• 4(9x + 7)

• 4(9x + 8)

• 2(18x + 12)

• 12(3x + 3)

Answer explanation

To simplify 36x + 24, factor out the greatest common factor, which is 12. This gives us 12(3x + 2). However, 2(18x + 12) is equivalent since 2(18x + 12) simplifies to 36x + 24, making it the correct choice.

Tags

CCSS.6.EE.A.3

CCSS.6.EE.A.4

CCSS.6.NS.B.4

Which expression is equivalent to 3(x+9)

• 3x+9

• 3x+27

• 3+x+9

• 3+x+3+6

Which expression is NOT equivalent to the expression 26-8

• 2(13-4)

• 18

• 2x13-8

• 2(15-8)

Which is an equation?

• nine times seven plus three

• three times n is 15

• half the product of 7 and 2

• three is less than 4

• 54-3x-16

• 24+30-3x-16

• 64+65-3x-4

• 20+30-3x-16

Fill in the missing number that makes the equation true.

12(__+9)=100+44