Ch. 7 - Algebraic Expressions

Distributive Property

100

Write 4(2+3) as an equivalent numeric expression (expand it using the distributive property), then solve it!

4x2 + 4x3

= 20

200

Write 7(9+3) as an equivalent numeric expression (expand it using the distributive property), then solve it!

7x9 + 7x3

= 84

300

Simplify: 8(a+3)

8a + 24

400

Simplify: (b - 4)12

12b - 48

500

Simplify: 4/5(t - 15)

4/5t - 12

Simplifying Algebraic Expressions

100

Simplify and THEN tell me what the coefficient is and constant is: 

7p + 3 + 4p + 5

11p + 8

Coefficient: 11

Constant: 8

200

Simplify:

2a + 3(2 + a)

5a + 6

300

Identify the terms, like terms, coefficients, and constants of 3c + 4d + 5c + 8

Terms: 3c, 4d, 5c, 8

Like terms: 3c, 5c

Coefficients: 3, 4, 5

Constants: 8

400

Simplify:

-3(a - 2b) - 4b

-3a + 2b

500

Simplify:

-4(3m + 2n) - 5m + y

-17m - 8n + y

Adding Linear Expressions

100

(x + 5) + (2x + 3)

3x + 8

200

(7x + 5) + (x + 2)

8x + 7

300

(-7x + 2) + (x + 4)

-6x + 6

400

(-x + 3) + (-5x + 6)

-6x + 9

500

(5x + 4) + (-9x + 5)

-4x + 9

Subtracting Linear Expressions

100

(6x + 5) - (3x + 1)

3x + 4

200

(2x + 7) - (x + 1)

x + 6

300

(8x - 9) - (3x - 1)

5x - 8

400

(3x + 7) - (x - 2)

2x + 9

500

(-4x + 3) - (-x - 4)

-3x + 7

Factoring Linear Expressions

100

Find the GCF of the monomials:

32x, 18

2

200

Find the GCF of the monomials:

16b, 12b

4b

300

Find the GCF:

60jk, 45jkm

15jk

400

Factor the expression:

3x + 9

3(x + 3)

500

Factor the expression:

32 + 24x

8(4 + 3x)