Algebraic Expressions
Evaluate the expression 5p - 4q for p = 7 and q = 6
11
Find the solution of x + 5 = 12
x = 7
Ava made a small bouquet with 8 yellow tulips and 10 orange tulips. She wants to make a large bouquet with the same ratio of yellow tulips to orange tulips. He will use 32 yellow tulips in the large bouquet.
How many orange tulips will Ava need?
40 orange tulips
What is the opposite of -7?
7
Kai picks 120 apples on a farm. Of these apples, 30% are green.
How many green apples does Kai pick?
36 green apples
125
Find the solution of x + 9 = 17 + 4
x = 12
A bakery uses 300 apples for every 60 apple pies it makes.
Based on this ratio, find the number of apples in 1 pie and the number of apples in 15 pies.
5 apples for 1 pie
75 apples for 15 pies
8, -4, -12, 16, -8
-12, -8, -4, 8, 16
What is the greatest common factor of 30 and 18?
GCF = 6
Write an equivalent expression by combining like terms:
10y + 3 + 4x + 8x + 2y + 9
12y + 12 + 12x
Find the solution of 24w = 165 + 15 - 60
w = 5
Ollie and Martha both make green paint.
Ollie mixes 3 cups of yellow paint with 5 cups of blue paint. Martha mixes 5 cups of yellow paint with 7 cups of blue paint.
Whose paint is a bluer shade of green?
Ollie
Use >, <, or = to complete the following statement:
-10 ____ 4
-10 < 4
A restaurant surveys a group of customers and 32 customers responded saying their favorite thing about the restaurant was the dessert.
This is 40% of the customers who were surveyed. How many customers were surveyed?
80 customers
Evaluate the expression:
4(32 - 7)3
32
Solve the equation 0.30s = 54 to find how many sixth graders there are at Tompkins Middle School.
s = 180
Olivia drives to her grandmother's house. She drives 248 miles in 4 hours.
At this rate, how far could she drive in 6 hours?
372 miles
Use >, <, or = to complete the following statement:
-1.5 ____ -2.5
-1.5 > -2.5
An art supply store sells drawing pencils in packs of 9 and drawing pads in packs of 6. Imani wants to buy the same number of pencils and drawing pads.
What is the least number of pencils and drawing pads Imani can buy?
18
*BONUS: 2 packs of pencils and 3 packs of drawing pads
Miyako rides the city bus to school. She starts the week with a pass worth $25. Each time she rides the bus, $1.25 is deducted from the value of her pass.
Write an expression for the value of her pass, in dollars, after r rides.
25 - 1.25r
Ryan has a playlist he listens to when he exercises. This morning, he added 9 songs to the playlist and then deleted 3 songs. He has 15 songs on the playlist now.
Write an equation to find the number of songs, s, Ryan had on his playlist to start.
s + 9 - 3 = 15
BONUS: s = 9
Ajay runs 48 miles in 16 days. Raj runs 60 miles in 15 days.
How many more miles per day does Raj run than Ajay?
1 mile more per day
Fill in the blanks:
The absolute value of -9 is _______ because absolute value is the ____________ from _______.
9, distance, zero
Omar wants to make bags of stickers for the kids he babysits. He has 42 dinosaur stickers and 30 insect stickers. Each bag will have the same amount of dinosaur stickers and insect stickers.
What is the greatest number of bags Omar can make using all the stickers?
6 bags
*BONUS: 7 dinosaur stickers and 5 insect stickers in each bag