Writing algebraic expressions
Identifying Parts of an Expression
Simplifying Expressions
& Equivalent Expressions
Evaluating Expressions
Order of Operations
100

Write an expression for "3 fewer than a number, p."

p - 3

100

In the expression below, how many terms does it have?

3x + 4y + 2z + 9

4

100

Apply the distributive property to find an equivalent to 4(3m + 1).

12m + 4

100

What is the value of the expression below when z = 9?

3z − 3

24

100

An expression is shown below.

What is the value of the expression?

4

200

Write an expression that is equivalent to "14 less than the product of 8 and y"

8y - 14

200

In the algebraic expression: 4z + 7 + 18q + 2 identify the coefficient(s).

4 and 18

200

Simplify the following expression 5(4x + 3) − 2x.

18x + 15

200

What is the value of the expression below when r = 2?

9 − 3r

3

200

What is the value of the expression  ?

70

300

Write an expression that represents "5 more than the product of 2 and y."

2y + 5

300

The expression is 3x + 12 - 2y. State the constant.

12

300

Simplify the following expression 8(2a + 3b) − 2b.

16a + 22b

300

What is the value of the expression 5b + c3 when b = 7 and c = 4?

99

300

What is the value of the expression below?

34 + 9

90

400

Write an expression that represents "the quotient of the sum of 2t and 2, and twice the cube of s."

(2t + 2) ÷ 2s3

400

An expression is shown below.

5z + (9 ÷ 3)

What is the coefficient of the variable in this expression?


5

400

A student claims that the expression 6 + 8x is equivalent to the expression 3(3 + 5x).
What is incorrect about the student’s claim? Be sure to include an equivalent expression to
3(3 + 5x) in your response.

Instead of distribute the outside factor to each term inside of the parenthesis using multiplication the student used addition.

3(3 + 5x) = 9 +15x

400

What is the value of the expression shown below when x = 7?

3x2 − 2x + 3

136

400

What is the value of the expression 82 ÷ 4 × 23?

128

500

Write an expression that represents "the square of y decreased by the quotient of 28 and 7."

y2 - (28 ÷ 7)

500

In the expression 9p + 3q + 6w + 8 identify the number or terms, coefficient(s), variable(s) and constant. 

4 terms

coefficients are 3, 6, 9

variables are p, q and w

constant is 8

500

Mr. Allende wrote the expression below on the chalkboard for her class. He asked the students to write an equivalent expression using no more than one set of parentheses.

4(3x + 5y + 2z) + 3(x − z)

  • Tom wrote 12x + 20y + 8z
  • Jenna wrote 5(3x + 4y + z)
  • Chris wrote 15x + 20y − 5z

Which, if any, of the three students wrote an expression that is equivalent to Mr. Allende’s expression?

Chris wrote 15x + 20y − 5z

500

What is the value of the expression below when c = 5 and d = 4?

6c2 − 5d + 8

138

500

What is the value of the expression below?


      2[3(42 + 1)] − 23

94