Equivalent expressions
Algebraic Expressions
Rational Numbers
Division Word Problems
Multiplication Word Problems
100
Write an equivalent expression to 12(x + 2)
12x + 24
100
Write an algebraic expression for the phrase “the product of m and 21”
21m
100
The temperature was -4ºF when Carl woke up and when he arrived at school it was 9ºF. How much warmer was it from the time he work up to the time he arrived at school?
13º
100
Clip had 4/5 of a banana cream pie. He wanted to eat a piece of pie for the next 3 days. How much of the pie should he eat each day?
4/15 pie
100
Tucker’s lemon cookie recipe calls for 3 1/2 cups of sugar. How much sugar would Tucker use to make 1/2 of a batch of cookies?
1 3/4 cup
200
Simplify to find an equivalent expression -4c + 8(3 + 2c)
12c + 24
200
Evaluate the algebraic expression when g=6, g+18+g2
60
200
The warmest day recorded in the last 3 months was 51ºF and the coldest was -8ºF. What is the difference from the warmest to the coldest temperatures?
59º
200
4 friends were going to divide the rest of the work left for the project due Monday. If they had 2/3 of the project to finish. How much would each friend work on?
1/6 project
200
At Washington College, 3/5 of the students are enrolled in an art class. Of the students enrolled in an art class, 3/4 are enrolled in a painting class. What fraction of the students at Washington College are enrolled in a painting class?
9/20 students
300
Simplify to find an equivalent expression 7(3x - y) + 4y
21x - 3y
300
What is the value of 9m + 4p when m=-2 and p=5
2
300
Luna earns $5 a week for chores. She saved for 11 weeks and went to the store. If the video game cost $58. Luna’s mom will pay the taxes. Figure out if she has enough money and represent the value as an integer.
-$3, $3 short
300
Adrian had 4/5 of his lunch left over. He was going to have 3 snack breaks before his mom came home. How much will he eat at each snack break to finish his left over lunch?
4/15 of his lunch
300
At Aaron’s Restaurant, 3/5 of the dishes on the menu are vegetarian. Of the vegetarian dishes, 1/3 are pasta dishes. What fraction of the dishes on the menu are vegetarian pasta dishes?
1/5 dishes
400
Simplify to find an equivalent expression 5 + 2(x + 9)
2x + 23
400
Mr. Jones bought 2 boxes of bolts. He used 12 on his project Tuesday. If each box had 10 bolts, how many does Mr. Jones have left? Use the expression 2b—12 to evaluate.
8 bolts
400
Sam uses himself to determine his friends’ height in inches. Claire measures +2. Frank measured +5. Helen measured -3. What is the difference in Claire and Helen’s height?
5 inches
400
Marcus was drawing for four hours and finished 1/6 of his drawing. If Marcus draw equal amounts per hour, what fraction of the drawing did he draw per hour?
1/24 drawing
400
Philip made strawberry jam and raspberry jam. He made enough strawberry jam to fill 6 2/3 jars. If he made 1/4 as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill?
1 2/3 jars
500
Write an equivalent expression to 9(x - 4)
9x - 36
500
True or false. Based on the expression 4x-10, x is the only variable.
true
500
The pack rat was in a hole 14 inches below the ground. He ran up a fence 72 inches high. Then jumped down 9 inches to land on a lawn chair. Where is the pack rat in terms of ground level?
49 inches above ground
500
A fruit vendor has 4 boxes of grapes. How many days would it take him if each day he sells 1/5 of a box?
20 days
500
The model correctly represents what fraction multiplied by another fraction?
2/5 x 3/4