7 checkpoint 3; 7.af.1

Enter the value of n so that the expression (−y + 5) + (7y − 9) is equivalent to (ny − 4).

n=?

Simplify the expression. (3x + 2) + (–6x + 3).

• -3x + 5

• 3x + 5

• -3x - 5

• 3x - 5

An expression is given. 3x + 5(–4x + 12) – (x – 3). Which of the following are equivalent expressions by applying the properties of operations?

• 3x - 20x + 60 - x + 3

• 3x - 20x + 60 - x - 3

• 3x - 20x + 60 + x - 3

• 3x + 20x - 60 - x + 3

Enter the value of n so that the expression −y + 5.3 + 7.2y − 9 is equivalent to 6.2y + n.

• n = -3.7

• n = 14.3

• n = 3.7

• n = -14.3

• 1/6

• 1/3

• 5/6

• 1

Simplify the expression. (2.1x + 4.3) – (–3x – 7). What is the simplified expression?

• 5.1x + 11.3

• 5.1x - 2.7

• -0.9x + 11.3

• -0.9x - 2.7

Which property is demonstrated by the expression shown? 2x + 6 − 3x + 2 = 2x − 3x + 6 + 2

• Distributive property

• Commutative property

• Associative property

• Inverse property

A student claims that the expression -3(x - 2) is equivalent to -3x - 2. Which statement identifies and corrects the error in the student’s work?

• The student did not subtract 2 from -3x; the equivalent expression is -5x.

• The student did not subtract 2 from -3; the equivalent expression is -3x - 5.

• The student did not find the product of -3 and -2; the equivalent expression is -3x + 6.

• The student did not keep the parenthesis around -2; the equivalent expression is -3x(- 2).

Simplify the expression. 5x + ½ (4x - 8)

• 5x + 2x - 4

• 7x - 4

• 7x - 8

• 5x + 2x - 8

Use the distributive property to simplify the expression. -4(3x - 7)

• -12x + 28

• -12x - 28

• 12x + 28

• 12x - 28