Algebraic Equations
Simplify -2(3x - 1) + 2x
-4x + 2
Solve -2(x - 6) + 2 ≥ 0
x ≤ 7
How many real solutions does the quadratic equation x2 - 2x + 1 = 0 have?
1
See Geometry #1
348 ft2
If a right triangle has one leg that measures 9 inches and a hypotenuse that measures 16 inches, what is the length of the other leg?
5√7 inches or 13.229 inches
Ally has 1 fewer than twice the number of goals as Priscilla. If A is the number of goals Ally has and P is the number of goals Priscilla has, write an equation to represent the the amount of goals that Ally has.
A. P = 2(A - 1)
B. P = 2A - 1
C. A = 2(P - 1)
D. A = 2P - 1
D. A = 2P - 1
Nathan and Dilantha requested that the school spend $500 on each person on the track team plus a one time fee of $2500 for the whole team. If r is the number of runners on the team and the school wants to spend no more than $10,000, which inequality relates the number of runners to the total budget?
A. 500r + 2,500 < 10,000
B. 500r + 2,500 ≤ 10,000
C. (500 + 2,500)r < 10,000
D. (500 + 2,500)r ≤ 10,000
B. 500r + 2,500 ≤ 10,000
Use the quadratic formula to solve -x2 + 5x - 2 = 0. (Do not evaluate)
x = ( 5 ± √(17) ) / (2)
See Geometry #2
$3.10
See Trigonometry #1
62°
Gerson just started a new job where he prepares paperwork for new patients. For each new patient, he must print 6 forms. He also must print 2 additional forms to fill out himself, certifying the filing process. If he prints a total of 110 forms, how may new patients are there?
18
Given that (r , s) is in Quadrant III, what is true about r and s?
A. rs < 0
B. rs > 0
C. r + s = 0
D. r + s > 0
B. rs > 0
Under which set of conditions is ax2 + bx + c = dx2 + ex + f NOT a quadratic equation?
A. d = 0
B. a = d
C. b = e
D. d = e = f = 0
B. a = d
A box is 6 inches long, 5 inches wide, and 2 inches tall, but it has no top. How much cardboard will be required to construct another box with the same dimensions?
74 in2
See Trigonometry #2
4.5
Solve the system of equations:
3x + y = 1
x - 2y = -9
(Hint: Your answer will be an ordered pair)
(-1 , 4)
Which integer is a solution to both 2x + 1 > 3 and 2 ≤ 4 - x ?
2
A quadratic function f(x) can be written in the factored form f(x) = 2(x - m)(x - n). If one zero of f(x) is -2 and f(1) = 24, what is the second zero?
-3
A circle has a circumference of 16 mm. What is the area of the circle?
64/𝝅 mm2 or 20.372 mm2
A right triangle has an angle ɑ such that sin ɑ = 5/13. What is cos ɑ?
12/13