Algebraic Expressions

Algebraic Expressions

Standard 6.2.1.1
Recognize and represent relationships between varying quantities; translate from one representation to another; use patterns, tables, graphs and rules to solve real-world and mathematical problems.

Objective

• Write, read, and evaluate variable expressions

• Apply the order of operations on expression with variables, including those with exponents

• Translate an expression from it’s to an algebraic expression and vice versa 

• Identify parts of expressions using appropriate mathematical vocabulary.

Vocabulary

• Coefficient: the known number that is a factor of a variable term.

• Constant: a term that is a known number without variables.

• Variable: a letter that stands for an unknown number

• Term: a known number, a variable, or the product of a known number and variables

• Variable term: a term that includes variables

Multiple Choice

What is a variable?

• a term that includes a variable

• a letter that stands for an unknown number

• a term that is a known number without variables

Multiple Choice

What does the letter x stand for?

• a letter

• an unknown number

Multiple Choice

Which operation is represented by 2x?

• addition

• subtraction

• multiplication

• division

Multiple Choice

What do you call the result of multiplication?

• sum

• difference

• product

• quotient

Multiple Choice

How many terms are in 10-4x?

• 1

• 2

• 3

• 4

Multiple Choice

What is the coefficient in the expression 10-4x?

• 4
• 10

• x

• -

Multiple Choice

What is the constant in the expression 10-4x?

• 4

• 10

• x

• -

Multiple Choice

Evaluate 5x - 2 when x = 3

• 15

• 17

• 13

• 6

Algebraic Expressions

Sandy had 18 necklaces.  She gave 4 necklaces to Judy and 3 necklaces to   Monica. How many necklaces does she have left?

Multiple Choice

Sandy had 18 necklaces. She gave 4 necklaces to Judy and 3 necklaces to Monica. How many necklaces does she have left?

• (18 - 4) + 3

• 18 - (4 + 3)

Roy had $8.  He then worked 4 hours and got paid $5 each hour. How much money does he have after getting paid?

Multiple Choice

Roy had $8. He then worked 4 hours and got paid $5 each hour. How much money does he have after getting paid?

• $8 + (4 x $5)

• ($8 + 4) x $5

Tiffany brought $30 to the mall and spent $14 on a softball and $6 for a snack.  Which expression matches the situation?

Multiple Choice

Tiffany brought $30 to the mall and spent $14 on a softball and $6 for a snack. Which expression matches the situation?

• 30 ÷ (14 - 6)

• 30 - (14 + 6)

• 30 ÷ (14 - 6)

• 30 - 14 + 30 - 6

Which expression shows the cost of one adult admission ticket and 9 ferris wheel ride tickets?

Multiple Choice

Which expression shows the cost of one adult admission ticket and 9 ferris wheel ride tickets?

• $15 + (9 x $3)

• $12 + (9 x $3)

• $15 + (9 + $3)

• ($15 x 9) + $3

Ashley and Jessica each paid $12 for admission.  They bought 14 ferris wheel ride tickets.  Which expression shows their cost?

Multiple Choice

Ashley and Jessica each paid $12 for admission. They bought 14 ferris wheel ride tickets. Which expression shows their cost?

• $12 + (14 x $3)

• (2 x $12) + (14 x $3)

• (2 x $12) + 14

• $12 + (14 + $3)

Emily bought a child admission ticket and 6 carousel ride tickets.  She used a coupon for a $5 discount.  Which expression shows Emily’s total cost?

Multiple Choice

Emily bought a child admission ticket and 6 carousel ride tickets. She used a coupon for a $5 discount. Which expression shows Emily’s total cost?

• $12 + (6 x $2)

• $12 + ($6 + $2) - $5

• $12 + (6 x $2) - $5

• $12 + (6 x $2) + $5

Multiple Choice

Write an expression with the same meaning as "7 less than the square of a number."

• $$7-x^3$$

• $$x^3-7$$

• $$x^2-7$$

• $$7-x^2$$