Chapter 5 - "Expressions"

Factoring Expressions

100

Find the GCF.

20x and 16

4

200

Find the GCF.

30rs and 42rs

6rs

300

Factor 10x - 35.

5(2x - 7)

400

Factor 32x + 24y.

8(4x + 3y)

500

Factor 88xy + 20x.

4x(22y + 5)

Add & Subtract Expressions

100

 (-x + 10) + (-3x +6)

-4x + 16

200

17(2x - 5) + (-x + 4)

33x + -81

300

(4x + 10) - (-3x + 5)

7x + 5

400

(-6x - 11) - (-2x - 4)

-4x + -7

500

The number of math questions on a test is represented by the expressions (3x + 1). The number of questions on a spelling test is represented by (x + 12). Write an expression to find how many more questions were on the math test. Then evaluate the expression if the value of x is 8.

2x + -11;  5

Simplify Expressions

100

Identify terms.

4 + 5y - 6y + y

4, 5y, -6y, y

200

Identify like terms.

4 + 5y - 6y + y

5y, -6y, y

300

Identify the coefficients.

4 + 5y - 6y + y

5, -6, 1

400

Simplify the expression.

5x + 4 + 9x

14x + 4

500

Simplify the expression.

-3r + 7 - 3r - 12

-6r + -5

Distributive Property

100

Use the Distributive Property to evaluate each expression.

-8(3 + 6)

-72

200

Use the Distributive Property to evaluate each expression.

(12 - 5)4

28

300

Use the Distributive Property to evaluate each expression.

-8(a + 3)

-8a + -24

400

Use the Distributive Property to evaluate each expression.

3(5x + y)

15x + 3y

500

Use the Distributive Property to evaluate each expression.

2(-p + q)

-2p + 2q

Sequences/ Properties

100

Describe the relationship in each arithmetic sequence. Then, list the next 3 numbers in each sequence.

19, 31, 43, 55, ...

Add 12 to the previous term.

67, 79, 91

200

Name the property shown.

9(ab) = (9a)b

Associative Property

300

Name the property shown.

1・c = c

Multiplicative Identify

400

Name the property shown.

5・0 = 0・5

Commutative Property

500

Name the property shown.

5 + (a + b) = (a + b) + 5

Commutative Property