MODELING ALGEBRAIC EXPRESSIONS WORKSHEETS
About "Modeling algebraic expressions worksheets"
Modeling algebraic expressions worksheets :
Worksheets on modeling algebraic expressions are much useful to the students who would like to practice problems on "Algebraic expressions".
Modeling algebraic expressions worksheets - Problems
1. Use a bar model to represent the expression given below.
"7 + x"
2. Use a bar model to represent the expression given below.
"z / 3"
3. Use a bar model to represent the expression given below.
"t - 2"
4. Use a bar model to represent the expression given below.
"4y"
5. Katriana and Andrew started the day with the same amount of money. Katriana spent 5 dollars on lunch. Andrew spent 3 dollars on lunch and 2 dollars on a snack after school. Do Katriana and Andrew have the same amount of money left ?
6. On a math quiz, Tina scored 3 points more than Julia. Juan scored 2 points more than Julia and earned 2 points in extra credit. Write an expression and draw a bar model to represent Tina’s score and Juan’s score. Did Tina and Juan make the same grade on the quiz ? Explain.
Modeling algebraic expressions worksheets - Solution
Problem 1 :
Use a bar model to represent the expression given below.
"7 + x"
Solution :
Problem 2 :
Use a bar model to represent the expression given below.
"z / 3"
Solution :
Problem 3 :
Use a bar model to represent the expression given below.
"t - 2"
Solution :
Problem 4 :
Use a bar model to represent the expression given below.
"4y"
Solution :
Problem 5 :
Katriana and Andrew started the day with the same amount of money. Katriana spent 5 dollars on lunch. Andrew spent 3 dollars on lunch and 2 dollars on a snack after school. Do Katriana and Andrew have the same amount of money left ?
Solution :
Let "x" be the money that Katriana and Andrew had at the beginning.
Step 1 :
Write an algebraic expression to represent the money Katriana has left.
"x - 5"
Represent the expression with a model.
Step 2 :
Write an algebraic expression to represent the money Andrew has left.
"x - 3 - 2"
Represent the expression with a model.
Step 3 :
Compare the models.
The models are equivalent, so the expressions are equivalent.
Andrew and Katriana have the same amount of money left.
Problem 6 :
On a math quiz, Tina scored 3 points more than Julia. Juan scored 2 points more than Julia and earned 2 points in extra credit. Write an expression and draw a bar model to represent Tina’s score and Juan’s score. Did Tina and Juan make the same grade on the quiz ? Explain.
Solution :
Let "y" be the points scored by Julia.
Step 1 :
Write an algebraic expression to represent the points scored by Tina.
"y + 3"
Represent the expression with a model.
Step 2 :
Write an algebraic expression to represent the points scored by Juan.
"y + 2 + 2"
Represent the expression with a model.
Step 3 :
Compare the models.
The models are not equivalent, so the expressions are not equivalent.
Hence, Tina and Juan did not make the same grade on the quiz.
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WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
