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Expressions
Equations
Writing Equations
Constant Rate
How many Solutions?
100
Simplify the expression: 6g + 5 - 2g
4g + 5
100
Solve and Show all work! x + 7 = 18 2 + y = -7
x = 11 y = -9
100
Write an equation for the word phrase below: half the number of days is 24.
d/2 = 24
100

Bob runs 4 miles in 20 minutes.  How far can Bob run in 60 minutes if he runs at a constant rate?

Bob can run 12 miles.

100

How many solutions?

x + 4 = 20

One solution: x = 16

200
Simplify 9 - 4r - 7
2-4r
200
Solve and show all work 6z = -30 a/-2 = 2.5
z = -5 a = -5
200
Write this word phrase as an equation: "Twice the age of her brother plus four is thirty six"
2x + 4 = 36
200

A bus travels 160 miles in 4 hours.  If it traveled at a constant speed, how far can it go in 6 hours?

240 miles

200

How many solutions?

2x + 5 = 2x - 10

No solution!

300
2(3m -5)
6m - 10
300
Solve and Show all work! 4m - 9 = 27
m = 9
300
Write an equation for the following situation: A friend gets her hair cut once every 4 weeks. She spends a total of 286 a year on haircuts. Find the cost of one haircut.
4h=286
300

Mr. Denning takes 22 minutes to read 11 pages.  What is his constant rate of reading and how many pages could he read in 1 hour and 28 minutes.

Constant rate: 0.5 page/minute

In 1 hour and 28 minutes, Mr. Denning can read 44 pages.

300

How many solutions?

4x - 6 = 2x + 2x - 6

Infinitely Many Solutions

400
-4(7a + 2a) -5
-42a - 5
400
Solve and Show work! -3(h + 7) = -18
h = -1
400
Write an equation for the following situation. You and your friend go bowling. Your score is 6 more than twice your friend's score. If your score is 212, what is your friend's score?
2b + 6 = 212
400

Mr. Vogel drives 280 miles in 4 hours on a road trip.  He continues this constant rate for the entirety of the trip.  Write and equation to determine how many miles, "m", Mr. Vogel will travel in "h" hours.

m=70h

400

How many solutions?

-2(x + 7) = -x - x - 14

Infinitely many solutions

500
13s - (-6 - 4s)
17s + 6
500
Solve and Show Work! 6 + 2d = 3d - 4
d = 10
500
Write an equation for the following situation: You buy 15 apples and a $2.75 block of cheese. The bill is $6.20. How much did each apple cost?
15a + 2.75 = 6.20
500

What would the graph x = -2 look like?

It would be a vertical line at -2 on the x-axis.

500

3(2x-14) = 2(3x - 5)

No solution