Numerical and Algebraic Expressions
Writing Algebraic Expressions
Evaluating Algebraic Expressions
Expressions with Exponents
Algebraic Vocabulary
100
Classify the following expression as numerical or algebraic 20 + 7x - z
What is algebraic?
100
Write an algebraic expression for: “36 more than s”
What is s + 36?
100
Evaluate 56 ÷ y for y = 7
What is 8?
100
Rewrite the expression using an exponent 6 x 6 x 6 x 6
What is 6⁴?
100
The number of terms in the following expression: 12a + 3b - 7c + 2
What is 4 terms?
200
Classify the following expression as numerical or algebraic 10∙23-7.
What is numerical?
200
Use the variable x to stand for a number. Write an algebraic expression that matches the following phrase: “the quotient of the number x and 10”
What is x ÷ 10?
200
Evaluate 9r ÷ 3 for r= 12
What is 36?
200
Write the expression as repeated multiplication. 4⁵
What is 4 x 4 x 4 x 4 x 4?
200
Identify the variables in the following algebraic expression: 12a + 3b - 7c + 2
What is a, b, c?
300
How can you add parentheses to change this expression to be the product of two terms: 30 × 10y + 3?
Place parentheses around 10y + 3
300
The length of a rectangle is 5 times its width. If the width is represented by w, write the algebraic expression that describes the length.
What is 5w?
300
Evaluate 18x ÷ y + 2z For x=2, y=6, and z=15
What is 36?
300
Evaluate 3st² - s² For s=4 and t=3
What is 92?
300
Identify the coefficient for the third term in the following expression: 10b - 5c + 6d ÷ 2
What is 6?
400
An office manager is renting a hall for an upcoming event. The hall costs $200 and the food costs $18 per person. The manager is not sure how many people will attend. Which quantity is NOT a variable quantity--- the cost to rent the hall, the number of people that will attend, or the total cost of food?
What is the cost to rent the hall?
400
Leslie has 35 coins in her purse that are either dimes or quarters. If q represents the number of quarters she has, write an algebraic expression that describes the number of dimes she has.
What is 35 - q?
400
Evaluate 18x ÷ y + 5(z-8) For x=2, y=6, and z=15
What is 41?
400
Evaluate 6r² + s² For r=2 and s=3
What is 33?
400
Identify the constant(s) in the following expression: 10b - 5c + 6d ÷ 2
What is 2?
500
Samantha is at an amusement park for 7 hours. The number of rides she goes on depends on how long she waits in line for each ride. Identify one variable quantity for this situation.
What is the number of rides Samantha goes on -OR- how long she waits in line for each ride?
500
A team is ordering sweatshirts and sweatpants for its players. Each sweatshirt costs $25 and each pair of sweatpants costs $18. Write an algebraic expression to represent the total cost if x players want sweatshirts and y players want sweatpants.
What is 25x + 18y?
500
Evaluate 12x - (4y + 7z) For x=9, y=4, z=2
What is 78?
500
The volume of a cube is s³, where s is the side length. Find the volume of a cube with side length of 7in.
What is 343in³
500
Describe the following algebraic expression using algebraic vocabulary: (10a + 2) ÷ 5b
What is the quotient of two terms?
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