Linear Systems
Quadratic Expressions
Quadratic Equations
Quadratic Relations
Trigonometry
100
Solve by elimination,
x + 2y=2
3x+5y=4
What is the solution, (-2,2).
100
Expand and simplify the following:
6(3x+2) + (3x-8)(x+4) -3(3x-2)
What is 3x2+13x-14
100
Find the x-intercepts of
3m2+22m=-7
What is -1/3 and -7.
100
Given the quadratic relation y= 0.5(x+1)(x-7)
- find the x intercepts, vertex and the axis of symmetry
- find the y-intercept
What is (-1,0) and (7,0) as x intercepts
What is x=3 for the axis of symmetry
What is (0,-3.5) for the y-intercept
100
Solve for x.
X is 12.2cm
200
Romano's pizza is selling a large pizza for $14 plus $1 per topping. A slice of Italy pizza is selling the same size pizza for $12 plus $1.50 per topping. Which place has a better deal for a five topping pizza?
What is Romano's Pizza.
200
Factor the following:
6x2+7x-3
What is (3x+1)(2x-3)
200
Solve by using the quadratic formula.
5x2+8x-3=0
What is the x intercepts, (0.31, 0) and (-1.9, 0)
200
Describe the transformations.
y=2(x=4)2-5
a- vertical stretch by a factor of 2
h- horizontal shift 4 units right
k- vertical shift 5 units down
200
Solve for x:
X is 29cm.
300
A riverboat took 2 hours to travel 24 km down a river with the current and 3 hours to make the return against the current. Find the speed of the boat in still water and the speed of the current.
What is 10km of the speed of the boat in still water, and 2km/h against the current.
300
The area of a rectangle is given as x2-4x-21
Dind expressions to represent the length and width of the rectangle.
What is (x+3) for the length, and (x-7) for the width.
300
Find a quadratic equation in standard for that has the pair of roots.
x= 4+_ squareroot of 88 divided by 6.
What is 3x2-4x-6.
300
Make a table for the relation y=-2(x+2)2+4
-4 ---- -2(-4+2)2+4 = -4
-3 ---- -2(-3+2)2+4 = 2
-2 ----- -2(-2+2)2+4 = 2
-1 ------ -2(-1+2)2+4 = 2
0 ------ -2(0+2)2+4 =-4
300
Solve the following triangle:
What is 3.1 cm for r.
What is 51 degrees for angle R
What is 39 degrees for angle T
400
1500 people attend a concert. The tickets were $8 per student and $12 per adult. The concert took in a total of $13,800. How many adults came to the concert?
What is the total number of adults that came to the concert, 450 people.
400
Find an algebraic expression for the area of the shaded region of a square.
x-3 = non shaded
2x+5 = for the shaded region
What is 3x2+26x+16.
400
A large car dealership has been selling new cars at $600 over the factory price. Sales have been averaging 80 cars per month. Due to inflation, the $600 markup will be increased. The marketing managaer has determined that for every $10 increase there will be one less car sold each month. What should the new markup be to maximize the income?
What is $700 for the new markup price.
400
State an equation for a parabola that is reflected in the x-axis, is stretched by a factor of 5, is shifted 5 units to the right and down 2 units.
What is y=-5(x-5)2-2
400
Draw and label a diagram of the path of an airplane climin at an angle of 11 degrees with the ground. Find, to the nearest foot, the ground distance the airplane has traveled when it has attained an altitude of 400 ft.
What is 2062 ft when the plane attained an altitude of 400 ft.
500
A sailboat travels from Monaco to Nice, France in the Mediterranean Sea, a distance of 35 km. When going with the current, it takes 5 hours. On the way back against the current, the same trip took 7 hours. Find the speed of the sailboat in still water and the speed of the current.
What is the speed of the sailboat with still water, 6km/h and against the current, 1km/h
500
Write the expression 3x2+26x+16 in factored form.
What is (x+8) and (3x+2)
500
An auditorium has seats for 1200 people. For the past several days, the auditorium has been filled to capacity for each show. Tickets currently cost $5.00 and the owner wants to increase the ticket price. He estimates that for each $.050 increase in price, 100 fewer people will attend.
What is the max revenue?
What ticket price witll maximize the revenue?
What is $6050 in max revenue.
What is $5.50 for the ticket price.
500
The path of a ball as it travels through the air after being thrown can be modelled by the equation h=-0.04d(d-30) where h is the height of the ball above the ground, and d is the horizontal distance of the ball in meters.
What is the horizontal distance?
What is the maximun height of the ball and the horizontal distance it travels when it reaches max height.
What is the height of the ball when it has a horizontal distance of 15 metres.
What is the horizontal distance of 30 metres.
What is the max height 9 metres at a horizontal distance of 15 metres.
What is 9 metres.
500
A ladder is leaning against a building and makes an angle of 62 degrees with level ground. If the distance from the foot of the ladder to the building is 4ft, find, to the nearest foot, how far up the building the ladder will reach.
What is 8ft up the building.