Ratios
2/5 = x/15
x=6
Solve for y: 3x+2y=7 when x=1
y=2
√200
10√2
Solve by factoring:
x2-5x+6=0
x=2 and x=3
24 cartons of orange juice cost $56. Work out the cost of 27 cartons.
$63
x/9=2/6
x=3
Find the equation of a line with a slope of − 2 and passing through the point (3,5).
y=-2x+11
√288
12√2
Solve using the quadratic formula: 3x2 +5x-2=0
x=1/3 and x=-2
12 football players need to drink a total of 3 liters of water during a match. How much water would be needed for 20 players during the same match? Give your answer in liters.
5 Liters
A map has a scale of 1 inch=8 miles. If the distance between two cities on the map is 3.5 inches, what is the actual distance?
28 miles
Solve the system of equations:
x+2y=4
3x-2y=2
x=2 and y=1
2√50
10√2
Solve by completing the square: x2 -8x+15=0
x=5 and x=3
X is direclty proportional to y
Y is inversely proportional to z
Given that x=12 and z=5 when y=3, fin a formula for x in terms of z.
x=60/z
If a person walks 5 miles in 2 hours, how far can they walk in 5 hours at the same pace?
12.5 miles
Find the slope of the line passing through the points (-2,3) and (4,-5)
-4/3
(2 √24)/(√36)
(2(2 √6)/3
How does the value of the discriminant of a quadratic equation relate to the number of x-intercepts of the parabola?
A positive discriminant means two x-intercepts, a discriminant of zero means one x-intercept, and a negative discriminant means no x-intercepts?
y is directly proportional to x3. y=56 when x=2. Find x when y=189
x=3
A painting is 18 inches wide and 24 inches tall. If it is enlarged so that its heigh becomes 36 inches, what will be its new width.
27 inches
y=4x-9
(3√30)/(5√6)
(3√5)/5
A projecticle's height is modeled by h(t)=-16t2+64t. At what time(s) will it reach 48 feet?
t=1 and t=3
A function f(x) is defined such that f(x)=ax2+bx+c. Given that f(0)=2, f(1)=4 and f(2)=10, find the value of a+b+c
a+b+c=4