Simplifying Expressions
Simplify the following expression
15 + 2a + 3 + 6a
18 + 8a
At the start of the year, the soup kitchen had v volunteers. During the year, 12 more volunteers joined them. Write an expression that shows how many volunteers there are now.
v + 12
Is 10 a solution to the inequality x ≤ 10?
Yes
Since 10 is less than or equal to 10
To get a correct answer you must show your work on a whiteboard!
y - 8 = 17
y = 25
Write the inequality that represents
x is less than 8
x < 8
Simplify the following expression
10w + 5 + 2w - 1
12w + 4
Jackson spent 7 of his x dollars on a sandwich for lunch. Write an expression that shows how many dollars Jackson has left.
x - 7
Is 3 a solution to the inequality x > 3?
No since 3 is not greater than 3
(it is equal!)
To get a correct answer you must show your work on a whiteboard!
15 + g = 27
g = 12
Write the inequality that represents
x is less than or equal to 10
x ≤ 10
Simplify the following expression
5x + 8 - 3x + 1 + 4y - 9
2x - 4y
Brian earned d dollars in all for mowing 3 lawns. He earned the same amount for each job. Write an expression that shows how many dollars he earned for each job.
d ÷ 3
Is 8 a solution to the equation x+4=8 ?
No
(the correct solution to x+4=8 is 4, since 4+4=8)
To get a correct answer you must show your work on a whiteboard!
x ÷ 4 = 9
x = 36
Write the inequality that represents
x is at least 5
x ≥ 5
Simplify the following expression
4(y-7) + 3y
4(y-7) + 3y =
4y - 28 + 3y =
7y - 28
Maya is organizing her art suppiles. She has x boxes of markers and each box contains 8 markers. Write an expression that shows how many markers Maya has in all.
8x
Is 9 a solution to the inequality 3 + x ≥ 8
Yes
(since 3+9 is 12 and 12 ≥ 8)
To get a correct answer you must show your work on a whiteboard!
8h=56
h = 7
What inequality is represented on this number line?
<---|---|---|---|---|---O—-|—-|—-|—-|—-|—-|—->
3 4 5 6 7 8 9 10 11 12 13 14
(Sorry for the handmade one - I couldnt upload images. It is an open circle on 8 and shaded to the right)
x > 8
Simplify the following expression
4x + 2(3x+4) - 5
4x + 2(3x+4) - 5 =
4x + 6x + 8 - 5 =
10x + 3
Sasha sells custom birthday cards and has already earned $15. Sasha earns an additional $7 per card she sells. Write an expression that shows the total amount Sasha has after selling c cards.
7c + 15
Is 2 a solution to the equation 9x+2=20 ?
Yes
(2 is a solution to 9x+2=20 since 9(2)+2=18+2=20)
To get a correct answer you must show your work on a whiteboard!
0.5x = 8
x = 4
What inequality is represented on this number line?
<—-|—-|—-|—-|—-|—-⬤---|---|---|---|---|---|--->
-1 0 1 2 3 4 5 6 7 8 9 10
(Sorry for the handmade one - I couldnt upload images. It is a closed circle on 4 and shaded to the left)
x ≤ 4