Writing Algebraic Expressions

What is the algebraic expression for the number of cakes Carol has if Joseph has x cakes?

What is the expression for how long it takes Adam to run a mile if Taylor takes 9 minutes?

How many students are left in the class after 5 are called down if there are x students initially?

How much did Alexis spend on shirts if she buys 5 shirts at x dollars each?

How many students will be in each group if Dominic is putting x students into 5 groups?

How much money will Tra'von earn for x hours of work if he earns $9 an hour?

How much will you spend to go to the fair and purchase x ride tickets if entry costs $9 and each ticket costs $5?

What is the expression for how much each child receives if your mom wins $9 and there are x children?

How much does a pizza delivery driver earn in one day if they earn $5 an hour for x hours and spend $9 on gas?

What are the missing values if given y and the values 1, 3, 10 for the expressions 3y - 1?

What are the missing values for z and the values 4, 10, 12 for the expressions z/2?

What is the value of the expression a/b if a = 12 and b = 3?

What is the value of the expression a x b if a = 12 and b = 3?

What is the value of the expression 3a - 2b if a = 12 and b = 3?

Is 6 + c an expression or an equation?

Is 3 + 7 x 4 = 40 an expression or an equation?

What is the rule for the following: if m is 2, 3, 6, what is the relationship?

What is the rule for the following: if m is 20, 30, 45, what is the relationship?

What is the rule for the following: if m is 15, 21, 30, what is the relationship?

Is d = 6 a solution for the equation 5d = 35?

Is d = 3 a solution for the equation 3d + 2 = 17?

What is the solution for the equation x/4 = 28?

What is the solution for the equation 6x = 18?

What is the solution for the equation 15 = z - 30?

Algebraic Expressions from Word Problems

Carol has 9 more cakes than Joseph, who has x cakes. Expression: 9 + x
Taylor runs a mile in 9 minutes; Adam takes x minutes less. Expression for Adam: 9 - x
In a class with x students, if 5 students are called down, the remaining students: x - 5
Alexis purchases 5 shirts costing x dollars each. Total spent by Alexis: 5x
Dominic divides x students into 5 groups. Number of students per group: x/5
Tra'von earns $9 an hour; for x hours worked, earnings: 9x
County fair entry is $9, plus $5 per ride ticket. Total cost for x tickets: 9 + 5x
Mom won $9 at Bingo; if there are x children, each receives: 9/x
A pizza delivery driver earns $5/hour for x hours and spends $9 on gas. Daily earnings: 5x - 9

Evaluating Expressions

Evaluate a/b for a=12 and b=3, result: 4
Evaluate a x b for a=12 and b=3, result: 36
Evaluate 3a - 2b for a=12 and b=3, result: 30

Expressions vs. Equations

6 + c is classified as an expression.
3 + 7 x 4 = 40 is classified as an equation.

Writing Rules for Relationships

Given pairs m and resulting values (2, 10), (3, 15), (6, 30), rule: 5m
Given pairs m and resulting values (20, 10), (30, 20), (45, 35), rule: m - 10
Given pairs m and resulting values (15, 5), (21, 7), (30, 10), rule: m/3

Solving Equations

To determine if d = 6 solves 5d = 35: no.
To determine if d = 3 solves 3d + 2 = 17: no.
Solve x/4 = 28, obtained x: 112.
Solve 6x = 18, obtained x: 3.
Solve 15 = z - 30, obtained z: 45.

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Writing Algebraic Expressions - 5C

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