Write and Evaluate Expressions
Jeremy makes $4.70 every time he mows a lawn but it costs him$6.80 to refill his lawn mower with gas. If Jeremy mows 5 lawns using 3 tanks of gas, how much did he profit?
$3.10
Write an equivalent expression to 4a + (-6b) - 3a + 2b by combining like terms.
a - 4b
Select all the pairs of like terms in the expression 25y + 15x - 0.2y - 6 + (-2).
A. 25y and 15x
B. 25y and -0.2y
C. 15x and -0.2y
D. -0.2y and 2
E. -6 and -2
DOUBLE
B. 25y and -0.2y
E. -6 and -2
What is the sum of the expression? (9c - 8d) + (2c - 6) + (-d + 3)
11c - 9d - 3
Using the GCF, what is the factored form of 24v - 84?
12(2v - 7)
Each month, a phone company charges $15 for 300 minutes of talk time plus $0.60 for each additional minute. Unlimited texting costs $20 more. Write an expression to show the cost of a talk-and-texting plan for one month, given x minutes over 300.
DOUBLE
35 + 0.60x
Edson exercises in sets that are each t minutes long. He does 6 sets of push-ups, 3 sets of pull-ups, and 4 sets of sit-ups. Write an expression to represent the time it takes Edson to exercise as the sum of three different terms. Then simplify the expression.
Hint: 2 parts
Expression:
6t + 3t + 4t
Simplified:
13t
Simplify the expression -6w + (-8) + 1 + (-7w).
−13w − 7
Sabra joins a cooking club for $8.50 and pays $6.25 each month.She also joins a movie club for $12 and pays $3.75 each month. Write an expression that represents the total amount of money Sabra spends on both clubs after m months. Then simplify the expression.
Hint: 2 parts
(8.50 + 6.25m) +(12 + 3.75m); with or without parenthesis
20.50 +10m
Use the GCF to factor the expression 40x + 24y - 56.
DOUBLE
8(5x + 3y − 7)
Leon has a container filled with 450 grams of tea leaves. Each morning, he uses 3 grams to make a cup of tea. Write an expression to represent the amount of tea leaves remaining after x days.
450 − 3x
The perimeter of a square box is 12x + 32. Write an equivalent expression that shows the perimeter as four times the side length of the box.
Hint: A=L*W
4(3x + 8)
Simplify the expression 8.9 - 1.4x + (-6.5x) + 3.4
12.3 − 7.9x
Subtract and simplify (2y + 14.6m + 3.8) - (34.8m + 15.6 + 2y)
−20.2m −11.8
Select all the expressions which have 3 as the greatest common factor of the terms.
A. b + 3 + 6c
B. 27n + 66p
C. 38 - 9j + 6k
D. 12x + 75y + 21
E. -32 - 24z
B. 27n + 66p
D. 12x + 75y + 21
Angeline bought s yards of satin fabric priced at $5.19 per yard, and c yards of cotton fabric priced at $2.79 per yard.
If she bought 5 yards of satin fabric and 8 yards of cotton fabric, how much did Angeline spend in all?
$48.27
Write 2 expressions that represent a price discounted by 20%, off the price of an item that originally costs d dollars.
DOUBLE
d - 0.2d
0.8d
Which expression is equivalent to 2.1 + (-3.7h) + 1.9h - 1.4?
𝖠. 3.5 - 5.6h
𝖡. 4.9h
𝖢. 0.7 + 1.8h
𝖣. 0.7 - 1.8h
𝖣. 0.7 - 1.8h
Subtract (-3f - 4g + 9) - (2 - 6f + 5g).
3f - 9g + 7
The area of a rectangle is expressed as (12m + 18) square feet. If the width of the rectangle is 6 feet, write an expression to represent the length of the rectangle.
(2m + 3) feet
Which of the situations which can be represented by the expression 25.75x + 10. Select all that apply.
A. Carol has $25.75. She earns $10.00 for each car that she washes.
B. Max has $10.00. He earns $25.75 for every lawn that he mows.
C. Jin buys x postcards for $25.75 each and x keychains for $10.00 each.
D. Sasha sells a scarf for $10.00 and x jackets for $25.75 each.
E. Jon buys 10 toy cars for $25.75 each.
B. Max has $10.00. He earns $25.75 for every lawn that he mows.
D. Sasha sells a scarf for $10.00 and x jackets for $25.75 each.
Membership in the Volunteers Club increased by 15% from last year. If the number of members last year was m, write a simplified expression to represent the number of members this year.
1.15m
4rs -2s - 3(rs +1) - 2s
rs - 4s - 3
Barrett is comparing the membership fees for two museums.The art museum charges a one-time fee of $8.25 plus $2.25 per month. The science museum charges a one-time fee of $10.75 plus $3.50 per month. How much does Barrett save after m months by joining the art museum instead of the science museum?
DOUBLE
$2.50 + $1.25m
Expression used to find answer:
($8.25+$2.25m)-($10.75+$3.50m)
Use a negative factor to factor the expression -21g + 7h - 42
−7(3g − h + 6)