Write an Algebraic Expression for Each Statement

Name: ______Period: ______

CC8Quick CheckPractice –Expressions

DOK1 - Recall

Write an algebraic expression for each statement.

1)The sum of wand x. ______

2)Five times the difference of m and six.______

3) Maggie’s dog weighs three more than

twice the weight of her cat (in pounds).

Letwrepresents the weight of her cat.

What is the weight of Maggie’s dog?______

Evaluate each expression. Show your work.

4) 6x2+4, when x = 3 5) 80 ÷ 2 • 5 6) ÷ 4) whenx = (−2)

7) Place each expression in the table below to indicate equivalent expressions:

a)5 + 6x + 4x / b) + 7(x – 1) / c) (5· 10) + (10· x)
d) 4( x + 1) + x / e) 5x +62 +5x – 12 / f) 2.5(2x + 2)
10(x + 5) / 10x + 5 / Neither

Simplify each expression.

8) 16 + 2f + 2f + 109) 4(w + 9)

10) 4a + 3 + 8(2a + 4) + 8a11) 7(b + 3) – 2(b+ 7)

12) (x+ 13) -3(5y – 9w)

ANSWERS:

CC8Quick Check Practice – Expressions

DOK1 - Recall

Write an algebraic expression for each statement.

1)The sum of w and x.w + x

2)Five times the difference of m and six.5(m – 6)

3) Maggie’s dog weighs three more than

twice the weight of her cat (in pounds).

Letwrepresents the weight of her cat.

What is the weight of Maggie’s dog? 2w + 3

Evaluate each expression. Show your work.

4) 6x2 + 4, when x = 3 5) 80 ÷ 2 • 5 6) ÷ 4) whenx = (−2)

= 6(3•3) + 4 = 40 • 5 = 200-9 + 9(4•-2•-2•-2 ÷ 4)

= 6 (9) + 4 = 54 + 4 = 58= -9 + 9(-32÷ 4)

= -9 + 9(-8) = -9 + (-72)

= -81

7) Place each expression in the table below to indicate equivalent expressions:

a)5 + 6x + 4x / b) + 7(x – 1) / c) (5 •10) + (10 •x)
d) 4( x + 1) + x / e) 5x +62 +5x – 12 / f) 2.5(2x + 2)
10(x + 5) / 10x + 5 / Neither
c)
e) / a) / b)
d)
f)

Simplify each expression.

8) 16 + 2f + 2f + 109) 4(w + 9)

= 4f + 26 = 4w+ 36

10) 4a + 3 + 8(2a + 4) + 8a11) 7(b + 3) – 2(b + 7)

= 4a+ 3 + 16a +32 +8a = 7b + 21 – 2b– 14

= 28a+ 35 = 5b + 7

12) (x+ 13) -3(5y – 9w)
x+ x+ = -15y + 27w