Back to Exercise: Write, read, and evaluate expressions in which letters stand for numbers

Write, Read, and Evaluate Expressions in Which Letters Stand for Numbers

Show all steps when evaluating expressions. When substituting a value, write it in parentheses.

Grade 6·21 problems·~35 min·Common Core Math - Grade 6·standard·6-ee-a-2
Work through problems with immediate feedback
A

Recall / Warm-Up

1.

Which of the following uses a placeholder symbol to represent an unknown number?

2.

Which operation does the word 'product' describe?

3.

If x=4x = 4, what is the value of x×3x \times 3?

B

Fluency Practice

1.

Which expression represents 'the sum of nn and 7'?

2.

Which expression represents 'subtract yy from 5'?

3.

In the expression 4x+94x + 9, what is the coefficient of xx?

4.

Evaluate 3x+13x + 1 when x=5x = 5.

5.

Evaluate 3+m23 + m^2 when m=6m = 6.

C

Varied Practice

1.

Which verbal phrase matches the expression 10k10 - k?

2.

Write the algebraic expression for each phrase.

'The quotient of nn and 4' is written as   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

'Eight more than twice a number xx' is written as   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

quotient phrase:
twice-plus-eight phrase:
Diagram showing the expression 3x + 5 with prompt boxes that ask the student to identify its structure without naming the parts for them.
3.

Which statement correctly describes the expression 3x+53x + 5?

4.

In the expression 2(8+7)2(8 + 7), which statement correctly describes the structure?

5.

Evaluate a22ba^2 - 2b when a=4a = 4 and b=3b = 3.

D

Word Problems / Application

1.

A store sells notebooks for nn dollars each.

The expression for the total cost of 4 notebooks is   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

If n=2.50n = 2.50, the total cost is   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

cost expression:
total cost:
2.

A cube has side length ss units. Use the side length to write an expression for the cube's volume and for the total area of its 6 square faces.

1.

The volume expression is   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

When s=12s = \frac{1}{2}, the volume is   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

volume expression:
volume:
2.

The surface area expression is   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

When s=12s = \frac{1}{2}, the surface area is   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

surface area expression:
surface area:
3.

A rectangle has length ll and width ww.

The expression for its perimeter is   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

When l=8l = 8 and w=3w = 3, the perimeter is   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

perimeter expression:
perimeter:
E

Error Analysis

1.

Priya wrote the expression for 'subtract yy from 5' as y5y - 5.

What error did Priya make?

2.

Marcus looked at the expression 3x+53x + 5 and said: "This expression is a product of two factors: 3x3x and 5."

What error did Marcus make?

F

Challenge

1.

Evaluate the expression below when a=3a = 3 and b=5b = 5.

a2+b2a1\frac{a^2 + b}{2a - 1}

2.

The expression 4(2x+1)4(2x + 1) can be described in two ways: as a single product, and by looking at the structure inside the parentheses. Describe the expression at both levels using correct mathematical vocabulary.

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