Show:
Inequalities
Equivalent Expressions
Combining Like Terms
Solving Equations
Distributing/Factoring
100
Graph of the solution of x<7 on a number line.

Open circle at 7 pointing left

100

Are the expressions equivalent?

38x - 20   and   18x

No

100
Can these terms be combined? Why or why not?


18x + 12

No, they don't both have x.

100
Which represent the solution to the equation: 

5x - 8 = 2x + 7

a) x = 3
b) x = 1/3
c) x = 5
d x = -3

c) x = 5

100

Rewrite using the distributive property:

4(x + 8)

4x + 32

200

Give 4 examples of solutions to the inequality w>-5

-4 or greater

200
Are the expressions equivalent or not?


4x + 15 - x   and   15 - 3x

No

200

Combine like terms to simplify:

12x - 4 + 12 

12x + 8

200

Solve the equation:

3(x - 4) = 12x

x = -1.3333333

200

Rewrite using the distributive property:

36x + 6

6(6x + 1)

300

A number line shows a closed circle on 48 pointing left. 

At an amusement park, there is a height requirement to go on the ride. The graph described above represents the situation. Explain what the height requirement is.

Your height must be less than or equal to 48 inches.

300

Write an equivalent expression to:

5x + 8 - 2x + 3

3x + 11
300

Combine Like Terms:

-8x - 4 + 11x + (-5)

3x - 9

300

Solve the equation:

2c - 3 = 2(6 - c) + 7c

c = -5

300

Rewrite using the distributive property:

-5(-3 + 8x)

15 - 40x

400

The temperature in Canada was 3 degrees Celsius. It was dropping at a steady rate of 5 degrees Celsius per hour. 

Write an inequality to represent when the temperature was less than -18 degrees Celsius.

3 - 5d < -18

400
Determine which are equivalent to the expression:

10x + 8 - 4x - 2

a) 6x + 10
b) 6x + 6
c) 18x - 6x
d) 2(3x + 3)
e) 2(5x + 4 - 2x - 1)

b) 6x + 6
d) 2(3x + 3)
e) 2(5x + 4 - 2x - 1)

400

Sophie simplified the following expression. Explain her error.

16 - 9x + 3(5x - 5)
16 - 9x + 15x + 15
16 + 6x + 15
31 + 6x

When distributing the 3, she made it +15 instead of -15

400

Solve the equation:

-1/2(x + 3) - 10 = -6.5

x = -10

400
Rewrite using the distributive property:


14x + 8 - 6x

2(7x + 4 - 3x)