Solving Linear Equations
Given 2x=16 what does x equal?
x=8
What type of solution is 75=75
infinite solution
The symbol ≥ means?
What is greater than or equal to
A taxi drive charges a flat fee of $3 plus $2 per mile. Write an equation that represents the information above.
What is y=2x +3
What is the opposite operation of addition?
What is subtraction.
In the equation -2 (2x-3) = 26 what is the first step?
What is distribution, -2 by 2x and -3
Two linear equations that produces parallel lines is what type of solution?
no solution
True or False. When graphing an inequality that is greater than or equal to has a open circle and solid line.
FALSE. Closed circle and solid line
A gym charges a $50 membership fee plus $20 per month. Write an equation for the total cost after x months.
what is y=20x + 50
Solve for t.
d=rt
what is t=d/r
What is the solution of 12t-5c+5t+11c
the solution is 17t+6c
What type of solution has two linear equations that intersect exactly at one point?
what is, one solution
Solve: 3x+5>11
What is x>2
The temperature is 15º and is expected to fall 2º each hour during the night. In slope intercept form what number represents the slope?
m=-2º
The variable m in the equation y=mx+b represents _______
what is the slope
Solve for x:
2x - 6 = 3x + 7
x = -13
A system of two linear equations has this type of solution when the lines are the same line.
what is infinite solution
True or False: If a > b and b > c then a > c.
True a > c
An auto repair shop charges $50 plus $25 per hour. what is is the slope and the y-intercept?
m= $25
b= $50
Given the ordered pair (0,-3) and (3,1) what is the slope?
what is m=4/3
Given: Emma bought some items at the grocery store. She spent $10 on vegetables, then spent the rest on candy bars. If the candy bars cost $1.25 each and her total before tax was $25, how many candy bars did she buy?
Put this in a linear equation?
The linear equation would be:
1.25x + 10 = 25
If a system of equations has infinitely many solutions, what can you say about the slopes and y-intercepts of the lines?
same slope and same y-intercept
Solve the inequality:
−2x ≥ 8
What is x ≤ -4
Nia purchased 4 concert tickets for her and 3 of her friends. The details are as follows, the concert venue sells tickets for $25 each and charges a one-time service fee of $15. How much did Nia spend in total for the concert tickets she purchased?
What is $115
Solve for h.
S=2B+Ph
What is h=S-2B/P