What is the slope of the function below:
4x + 8y = 20
m = -0.5
Which value of x is the solution to this equation?
5x2 = 30x - 45
A) x = 3
B) x = -3
C) x = 5
D) x = -5
A) x = 3
What is the solution to this system of equations?
-3x + 5y = 21
y = 6x + 15
(-2, 3)
What is the solution to the equation below?
5(2x + 4) = 4(2x +9)
x = 8

decreases, 0.25
What is the y-intercept of the line:
-3x + 2y = 36
b = 18
Which value of x is a solution to this equation?
3x2 - 30x - 72 = 0
A) x =-12
B) x =-4
C) x =-2
D) x =-6
A system of linear equations is shown.
x - 3y = 7
x - 2y = 2
What is the value of x in the solution to this system of equations?
-8
What must the value of n be to make this equation true?
4(0.5n - 3) = n - 0.25(12 - 8n)
A) 3
B) -9
C) 0
D) -15
B) -9
The value of y varies directly with x. If x = 3, then y = 21. What is the value of x when y = 105?
A) 0.6
B) 1.67
C) 7
D) 15
D) 15
What is the slope of the graph of y = 12x - 19
A) -19
B) -12/19
C) 19/12
D) 12
D) 12
What is the positive solution to the equation
0 = 1/3x2 - 3
positive solution is (3, 0)
What is the solution to this system of equations?
2x + y = 40
4x - 2y = -20
A. (0, 10)
B. (7.5, 25)
C. There is no solution.
D. There are an infinite number of solutions.
C. There is no solution.
What is the solution to:
-(6m + 8) = 4(17 - m)?
Simplify:
(2x8)(3x-1)2
18x6
What is the slope the graph below?
-7x - 10y = 142
m = -0.7 or -7/10
What are the roots of 2x2 + x - 15?
x = -3
x = 2.5
Studio Q charges a $30 registration fee plus $80 per month.
Studio R charges a $105 registration fee plus $65 per month.
After how many months will the total cost of the dance lesson be equal at the two studios?
5 months
What is the solution to 10 - 3(m - 5) = 2(5 - m)?
x = 15
Which ordered pair is in the solution set of:
8x + 16y > 32
A) (0, 2)
B) (-3, 5)
C) (-1, 1)
D) (4, 0)
B) (-3, 5)
What is the slope and y-intercept of the linear function:
m = 2
b = -12
The area of a rectangular trampoline is 112 ft2. The length of the trampoline is 6 ft greater than the width of the trampoline. This situation can be represented by the equation w2 + 6w - 112 = 0
What is the width of the trampoline?
8 feet
Two customers purchased coffee and doughnuts at a coffee shop. Each cup of coffee costs the same amount, and each doughnut costs the same amount.
The first customer paid $4.90 for 1 cup of coffee and 2 doughnuts.
The second customer paid $8.60 for 2 cups of coffee and 3 doughnuts.
What is the cost of 1 doughnut?
$1.20
Solve for x:
4(3x - 8) -12 = 16
x=5
A store manager adjusts the price of an item each week that the item goes
unsold. The price of the unsold item, in dollars, after x weeks can be modeled by the exponential function f(x) = 320(0.90)x.
Choose the correct answer for each blank from the menu to complete the sentences.
The initial price of the item before the store manager made an adjustments was
_____________ ($288, $320, or $352)
The price of the item ________________ (increases/decreases) at a rate of
________________(10%, 90%, or 110%).
$320
decreases
10%