Expressions
Simplify the following expression by combining like terms.
5x - 3y + 2x + x
8x - 3y
The cost of a ps4 (p) is $60 less than the cost of a ps5 (f). Write an equation to model this situation.
f - 60 = p
The age requirement to see a rated R movie is 18 or older at the theater. Graph this situation on a number line.
Closed dot on 18 and shaded to the right.
Distribute the following:
8(a+2)
8a + 16
What is the value of the following expression?
3(11) - (5 x 2 + 22)
1
Simplify the following expression by combining like terms.
3g + 7g - h +2g
12g - h
Shannon ran a mile in b minutes on Monday, h minutes on Tuesday, and n minutes on Wednesday. If the number of minutes to complete the mile on Tuesday is equal to the sum of the minutes it took on Monday and Wednesday, write an equation to model this.
h = b + n
Draw a number line to represent the following inequality.
x > 6
Open dot on 6 and shaded to the right.
Distribute the following:
5(6 - r)
30 - 5r
What is the value of the following expression?
2^4 + 3^2
2 x 2 x 2 x 2 + 3 x 3
16 + 9 = 25
Simplify the following expression by combining like terms.
4f + 6f + 4d - 3d
10f + 1d
Tickets Sold Money Collected
5 $25
10 $50
15 $75
20 $100
Write an equation for the amount of money collected (m) if t, tickets are sold.
What is the dependent variable? What is the independent variable?
If there was $200 collected, how many tickets were sold?
5t = m
Independent Variable = Tickets Sold
Dependent Variable = Money Collected
200 / 5 = 40 tickets
Draw a number line to represent the following inequality.
b is less than or equal to 3
Closed dot on 3 and shaded to the left.
What does the distributive property state?
You share what is on the outside of the parentheses with everything on the inside of the parentheses.
Write and expression for 52 greater than the product of 2 and a number y.
52 + 2y
The video store fine for an overdue movie is $0.10 per day plus a charge of $0.75 for processing. Write an expression for the fine for a movie overdue in d, days.
0.10d + 0.75
The equation d = 12h shows the amount of money Kristen earns from babysitting, where the variable h represents the number of hours spent babysitting, and the variable d represents the amount of money earned. After a total of 1.4 hours of babysitting, how much money will Kristen have earned?
$16.80
Draw a number line to represent the following inequality.
m is greater than or equal to 9
Closed dot on 9 and shaded to the right.
Distribute the following:
3 (4g + 9 - k)12g + 27 - 3k
What is the solution to the following equation?
14p = 42
p = 3
If 2 is substituted for x, which expression will NOT equal 10?
5x
12 - x
3x + 4
7x - 5
7x - 5
7(2) -5 = 9
What is the correct value of p in the table below?
x 3x - 1
0 -1
2 5
4 11
6 p
3x - 1
3x6 - 1
18 - 1 = 17
Using the variable x, write a number sentence to represent the number sentence below.
The product of 9 and a number is decreased by 2.
If x = 5, will the answer be less than 22? Show your work!
9x - 2
9(5) - 2
43 > 22, so no, 5 is not a possible solution.
Distribute the following:
6 (6p + 8j - 2)
36p + 48j -12
What is the difference between expressions and equations?
Equations have equal signs and expressions do not.