Equivalent Expressions
Write an equivalent expression for 2w.
w + w
Graph the inequality f ≥ 4
Answer must be drawn. Point should be closed and arrow should be facing greater than 4.
Write an equation to find the area (A) of a rectangle with a length of 2 and a width of w.
A = 2w
Simplify to write an equivalent expression for 5 + 2x + 3x + 1
6 + 5x
If r = 6 and s = 4, evaluate the following: 2r ÷ s
3
Graph the inequality x ≤ 7
Answer must be draw. Point should be closed and arrow facing less than 7.
A rectangle has a length of 8 and an area of 48. Write an algebraic equation to solve for the width of the rectangle.
48 = 8w
w = 6
Using the Distributive Property write an equivalent expression for 5(y+3).
5y + 15
Graph the inequality t > 5. Find two possible solutions for t.
Answer must be drawn. Circle should be open and arrow pointed greater than 5.
Possible solutions for t = 6, 9, 5.1
Write an algebraic expression to find the volume of a cube with sides (s). Bonus points if you can write more than one.
Possible answers:
s^3
s x s x s
Using the Distributive Property write an equivalent expression for 6y+12
6(y+2)
If x = 2, and z = 10, evaluate the following: z(3 + x^2)
70
Write an equation to show the rate of change for the table below. Bonus points if you can write 2.
x | 1 | 2 | 3 | 4 | 5 | 6
y | 3 | 6 | 9 | 12| 15 | 18
y = 3x or x = y ÷ 3
Write and solve an algebraic equation to solve for the volume of a rectangular prism with a volume of 120, a width of 6, and a height of 10.
120 = L x 6 x 10
L = 120 / 60
L = 2
Algebraically solve, and show your work. 5 = m÷2 + 3
4 = m
Simplify the following algebraic expression to write an equivalent expression for 5m + 23 + 2m + m^2 + 3
m^2 + 7m + 26
If c = 5, evaluate the following: 2(5 + c^2) - 2
48
Would the graphed line of this table be a straight line? Explain why or why not. Bonus points if you can write an algebraic equation to represent this table.
x | 1 | 2 | 3 | 4 | 5 | 6
y | 1 | 4 | 9 |16 |25 |36
No, it would be curved because it does not grow at a constant rate.
Bonus: y = x^2
Write an algebraic expression to find the surface area of a cube with sides (s). Bonus points if you can write more than one.
Possible answers:
6s^2
s^2 + s^2 + s^2 + s^2 + s^2 + s^2
6(s x s)
(s x s) + (s x s) + (s x s) + (s x s) + (s x s) + (s x s)
You charge $5 for your babysitting service, plus four dollars for each hour that you babysit. Write an algebraic expression for this, and then evaluate your expression to find out how much you would make if you babysit for six hours.
5 + 4r, $29