Monomials and Binomials
Determine the sum or difference
3x + (−8x)
–5x
What does the following indicate?
8 < 9
9 is greater than 8
Solve for the variable...
7.5x – 2.5x = 56.8 + 13.2
x = 14
Is x = 5 part of the solution for each inequality?
7x < –4 + 3x
No, x = 5 is not part of the solution.
An after-school program will offer a coding class next year if at least 15 students sign up. So far, 9 students have signed up.
Let s represent how many more students need to sign up. Which inequality describes the problem?
9 + s > 15
s + 9 ≥ 15
s + 9 ≥ 15
Determine the sum or difference
7x − 2 + 4x + 2
11x
What does the following indicate?
X ≥ 7
X is greater than or equal to 7
Solve for the variable
3x – (–6) = –15
x = –7
Is x = 5 part of the solution for each inequality?
–2x + 5x ≤ 8 + 13
Yes, x = 5 is part of the solution.
When Chrinna’s phone is fully charged, it can operate for at most 18 h before running out of battery power. It has been 6 h since Chrinna’s phone was fully charged.
Let p represent how many more hours Chrinna’s phone can operate without running out of battery power. Which equation or inequality describes the problem?
6 + p > 18
6 + p ≤ 18
p + 6 ≥ 18
6 + p ≤ 18
Determine the sum or difference
(2a + 4c) + (3a − 12c)
5a – 8c
What does the following indicate?
X + 2 < 30
X + 2 is less than 3
5.2x + 8.4 = –43.6
x = –10
Solve the inequality
–6 – 2 ≤ –3x + 4x
x ≥ –8.
For the annual intramural volleyball tournament, a gym teacher brings out all their school’s volleyballs and shares them equally among 2 Grade 6 classes, 1 Grade 7 class, and 2 Grade 8 classes. Over the course of the day, the Grade 7 class deflates 2 volleyballs. They are left with only 7 inflated balls at the end of the day.
Let b represent the total number of balls the gym teacher brought out at the start of the day. Write an equation to determine the value of b.
ᵇ⁄₅ -2 = 7
Write the perimeter of a rectangle as a sum of binomials when the lengthy is 3 times the width (w).
3w + w +3w + w
In the following, X must give you an answer that is?
X + 3 > 10
greater than 10
4x – 3 = 15 – 2x
x = 3
Solve the inequality
–5s – 13 < –2s + 11
s > –8.
A student council has $2000 in their bank account for community outreach. Every week, they withdraw $55 to donate to the local community center's homework club to pay for supplies. They do not make any deposits to their account or other withdrawals. How many weeks can the club withdraw money if they want to maintain a balance of at least $500?
Write an inequality you can use to determine the maximum number of weeks the student council can make this withdrawal.
2000 – 55w ≥ 500
Write the area of a rectangle as a product of binomials when the lengthy is 3 times the width (w).
3w X w = Area
Is 8 part of the solution?
X + 2 ≥ 11
No
A Grade 8 class has a budget of $250 to organize an end of year celebration for the whole school. They spend $170 on snacks. The rest they will spend equally on arts and crafts supplies and prizes. How much money can they spend on each of these 2 items?
Write an equation to represent the scenario.
2m + 170 = 250
Today is Hikaru’s and Kaito’s birthday. Today, Kaito is 3 times as old as Hikaru.
What is the youngest Hikaru could be?
The youngest Hikaru could be is 16.
A student council has $2000 in their bank account for community outreach. Every week, they withdraw $55 to donate to the local community center's homework club to pay for supplies. They do not make any deposits to their account or other withdrawals. How many weeks can the club withdraw money if they want to maintain a balance of at least $500? Use the following expression to determine the number of weeks the student council can make this withdrawal.
2000 – 55w ≥ 500
w is ≥ 27.27