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Writing Algebraic Expressions
Multiplying Binomials
Equivalent Expressions
Evaluating Expressions
Simplifying Expressions
100

Write an expression for 3 less than twice x.

2x - 3

100

Name two ways to multiply binomials

double distribute

and

box method / area model

100

We can tell expressions are equivalent when ...

they evaluate to the same value given the same value of the variable.

100

Evaluate the expression x + 4 for x = 10.

14

100

To simplify expressions, we combine ...

Like terms

200

Pencils are sold in packages of 12.  How would you write an expression for  the total number of pencils in p packages?

12p

200

Write a trinomial expression in standard form that is equivalent to (x + 8)(x + 3)

x2 + 11x + 24

200

Simplify the expressions to see if they are equivalent.

6(n + 2) and 12 + 6n

Yes, they are equivalent.

200

Evaluate the expression (20/n) - 2 when n = 5

2

200

Simplify the expression

2n + 5 + b - n + 3. 

n + 8 + b

300

Write expressions for each of the following.

(a) Twice the sum of n and 5.

(b) The sum of twice n and 5.

(a) 2(n+5)

(b) 2n + 5


300

Write a trinomial expression in standard form that is equivalent to (2x + 5)(3x - 2)

6x2 + 11x - 10

300

Use the commutative property of addition to write an equivalent expression.

x + 7

7 + x

300

Evaluate the expression 3x-24 for x = 5.

- 9

300

Like terms have these two things in common

The same variables with the same exponents

400

The quotient of the sum of three more than two times a number n, and the difference of four and the number n. 

(2n+3)/(n-4)

400

Find the trinomial that is equivalent to (x + 2)2.

(x + 2)2 = (x + 2)(x + 2)

             = x2 + 4x + 4

400

Distribute and simplify to find an equivalent expression.

2(n+5) + (3n - 7)


2n+10+3n-7=

5n + 3

400

Evaluate the expression x2 - 3x when x = - 2.

10

400

Write an equivalent expression for

4x2 + x + 4 + 23 + x

by combining like terms

4x2 + 2x + 12

500

Francisco is five years more than twice Jenna's age. If Jenna's age is given by a, then write expressions for Francisco's age and the sum of their ages, in terms of a.

Francisco's age: 2a + 5

Sum of their ages: a + 2a + 5

                        = 3a + 5

500

Rewrite the expression below as an equivalent product of two binomials.

(x - 8)(4x + 5) - (x - 8)(2x - 4)

(x - 8)((4x + 5) - (2x - 4))

= (x - 8)(4x + 5 - 2x + 4)

= (x - 8)(2x + 9)

500

Distribute and simplify to find an equivalent expression.

-2x(x + 7) - 3x(4x - 6)

-2x(x + 7) - 3x(4x - 6)

-4x2 - 14x -12x2 + 18x

-16x2 + 4x

500

Evaluate the expression 5(x2 - 11) when x is -3.

-10

500

Write the following expression in simplest binomial form.

4(3x - 2) - 2(4x + 5)

4x - 18