Define an equivalent expression.
Two different equations that equal the same thing.
True or False: you can add or subtract whole numbers with other whole numbers that have variables next to the coefficient.
False.
12x=14
Divide---12 has an x variable, 14 does not.
True or False: an integer has more than 1 solution. Explain.
True.
Define absolute value.
Everything in range becomes positive after calculating.
Is -1/4 (3+m) equivalent to -3/4-1/4m or 3/4-1/4m? Explain.
First option.
Determine if this is an entire addend equation:
4x+2x+3+5-y.
No because it has one subtraction.
Apply the hanger diagram to the following equation and solve for x. 4x+5=21.
x=4. Show hanger diagram in class.
Solve the inequality x+9>5. Graph your solution set and show your work.
x>-4 (open circle, anything greater than -4)
Solve for the absolute value:
l -4 +2 l
2
Factor 5x+10y-20.
5(x+2y-4)
Jake buys 4 hamburgers and each costs the same amount, h, and a French fry that costs $2.50. The total cost is $19.70. Model this situation with an equation. Solve the equation.
4h+2.50=19.70
4h=17.20
h=$4.30
Solve (3/4)k+8+12=24
16/3
What is the technical term for when an answer does only have one answer?
An equality.
Solve the absolute value equation:
l4-3X2 l
5
Raury says the expression -10 (1/5x+5) is equivalent to -2x+50. Would you agree or disagree? Explain why.
Disagree. It would be -2x-50.
Determine which y is greater. Show your work for both equations.
a. 4x-8y+16=2y+4x-10
b. 4x+4y-20=4x+3y-25
a. y=13/5
b. y=-5
a has the greater y value.
Factor 3x+6y+12(x^2) into a distributive property in its simplest form.
Describe the difference between open and closed circles. Give an example of each for points.
Open: does not equal to
Closed: can equal to
Solve the absolute value:
l3X2-5+15l + 5
21
Can you change the variable letters when creating equivalent expressions?
Yes
Solve the equation:
3 (x^2) -12=15
x=3
Apply the hanger diagram and solve for x.
3x-5=22. This is a trick question.
x=9; show different hanger diagram
Presley is in a basketball league. Her goal is to score an average of 10 points per game. Her scores so far include 11, 4, 5, 8, 12. How many points can Presley score in her next game to reach her goal?
More than 20 points (x> or equal to 20)
Solve:
- l 4X3/3+5-18 l
-9