Writing & Evaluating Expressions—Mixed (A) - Part 1—Write the Expression - Part 2—Evaluate the Expression (Show Your Work!)

Sep 23, 2026

Worksheet for writing and evaluating algebraic expressions in a mixed set labeled (A). Part 1 asks students to translate word phrases involving sums, products, quotients, squares, and linear combinations into mathematical expressions using variables such as n, x, a, b, and y. Part 2 requires substituting given values into expressions and calculating results, including multi-variable and challenge pricing problems. An answer key provides the computed expressions and final values.

LanguageEnglish

CategoryExam

FormatPDF

Pages2

Reading Time5 min

AccessFree to download

Part 1—Write the Expression

Write expressions from verbal phrases

Part 2—Evaluate the Expression (Show Your Work!)

Substitute values and compute results

Name: ______________________________________ Writing & Evaluating Expressions—Mixed (A) Part 1—Write the Expression 1.) the sum of n and 12 2.) 3 times x, decreased by 7 3.) the product of 6 and n, plus 4 4.) twice the sum of x and 5 5.) 8 more than the quotient of n and 3 6.) the square of x, minus 4 7.) 5 less than 4 times n 8.) the quotient of the sum of a and b, and 3 Part 2—Evaluate the Expression (Show Your Work!) 9.) 4x + 3 where x = 5 = _______ 10.) n² − 2 where n = 4 = _______ 11.) 3(x+1) where x = 6 = _______ 12.) 2a + 5b where a = 3 , b = 2 = _______ 13.) x4 − 1 where x = 12 = 14.) 5x − 3y where x = 4 , y = 3 = _______ 15.) 2x² + x where x = 3 = _______ 16.) x+5y where x = 7 , y = 3 = 17.) Challenge Problem: A parking garage charges $3 per hour plus a $5 entry fee. Write an expression for the total cost for h hours, then evaluate it for h = 4. Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) ANSWER KEY Part 1—Write: 1.) "the sum of n and 12" = n + 12 2.) "3 times x, decreased by 7" = 3x − 7 3.) "the product of 6 and n, plus 4" = 6n + 4 4.) "twice the sum of x and 5" = 2(x + 5) 5.) "8 more than the quotient of n and 3" = n/3 + 8 6.) "the square of x, minus 4" = x² − 4 7.) "5 less than 4 times n" = 4n − 5 8.) "the quotient of the sum of a and b, and 3" = (a+b)/3 Part 2—Evaluate: 9.) 4x + 3 where x=5 = 23 10.) n² − 2 where n=4 = 14 11.) 3(x+1) where x=6 = 21 12.) 2a + 5b where a=3 , b=2 = 16 13.) x/4 − 1 where x=12 = 2 14.) 5x − 3y where x=4 , y=3 = 11 15.) 2x² + x where x=3 = 21 16.) (x+y)/5 where x=7 , y=3 = 2 17.) Challenge: Expression: 3h + 5. For h=4: 3(4)+5 = 12+5 = $17 Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)

FAQs

What skills does Part 1—Write the Expression practice?

Part 1 practices translating verbal algebra statements (sums, products, quotients, squares, and comparisons) into symbolic expressions using variables and operations.

How does Part 2—Evaluate the Expression work?

Part 2 has students substitute the given variable values into each expression and compute the final result, showing work toward the blank answer.

What is the challenge problem about?

The challenge problem models total parking cost as $3 per hour plus a $5 entry fee, asking for an expression in terms of h and then evaluating it for h = 4.

Sep 23, 2026

Uploaded by Jordan Avery