Illustrative Math Algebra Unit 6 Lesson 6

Select all expressions that are equivalent to

-8a + 5 − (2a − 4)

• -10a + 1

• -10a + 9

• 9 + -2a + -8a

• -8a + 5 - 2a -4

What equation is equivalent to:

-5(3x + 9y)

• -15x + 45y

• 15x - 45y

• -15x - 45y

• -15x + 9y

What expression is equivalent to:

22a−4

• 2(2a-4)

• 18a

• 4(6a-1)

• 2(11a-2)

Simplify the expression:

11w - 9 + 6w - 2

• 6w

• 17w - 11

• 5w - 11

• 17w - 7

The baby goat weighed 42 pounds at birth. He gained weight at a steady rate for the first 4 months until his weight reached 95 pounds.

What equation represents this situation?

• 4w = 95

• 42 + w = 95

• 95 = 4 + 42

• 95 = 4w + 42

Bobby got a $20 amazon gift card. He uses the gift card to buy a school binder for $7.99. He also wants to use the gift card to buy some markers. Each package of markers costs $4.29.

Which of these inequalities describes this situation, where n is the number of packs of markers Julie wants to buy?

• 7.99 + 4.29n ≤ 20

• 7.99 − 4.29n ≤ 20

• 7.99 + 4.29n ≥ 20

• 7.99 − 4.29n ≥ 20

What is the inequality that matches this graph?

• x ≥ 2.5

• x ≤ 2.5

• x < 2.5

• x > 2.5

What inequality matches this graph?

• x < 5

• x > 5

• x ≥ 5

• x ≤ 5

What expression is equivalent to:

− (4y − 8 + 3x)

• -4y - 8 - 3x

• -4y + 8 - 3x

• 4y - 8 - 3x

• -4y + 8 + 3x

What is the simplified expression for:

11w + 3 - 14w - 1 + x

• -3w + 2 + x

• 25w - 2 + x

• 25w + 4 + x

• -3w + 4 + x