Factoring
n2 + 8n = −15
{−5, −3}
Write an Equivalent Expression that reveals all zeros to the following:
-x2-8x-12
-(x+6)(x+2)
At a clothing store, Ted bought 4 shirts ad 2 ties for a total price of $95. At the same store, Stephen bought 3 shirts and 3 ties for a total price of $84. Each shirt was the same price, and each tie was the same price. Write a system of equation that can be used to find s, the cost of each shirt in dollars, and t, the cost of each ties in dollars.
4s+2t=95
3s+3t=84
Write the equation of the parabola that shifts right 2 and up 2
(x-2)2+2
Solve the following system of equations to solve for x and y.
y = 2x
x + y = -18
x=-6, y=-12
x2-5x+6=2
x= 4 and 1
Write an Equivalent Expression that reveals all zeros to the following:
-x2-6x+16
-(x+8)(x-2)
Ms. Kitts works at a music store. Last week she sold 6 more than 3 times the number of CDs that she sold this week. Ms. Kitts sold a total of 110 CDs over the 2 weeks. Which system of equations can be used to find c, the number of CDs she sold last week, and t, the number of CDs she sold this week?
110=c+t
3t+6= c
Write the equation of the parabola that shifts left 4 and down 6
(x+4)2-6
Solve the following system of equations to solve for x and y.
-2x + 3y = 14
x + 2y = 7
x=-1, y=4
b2+ 5b − 35 = 3b
{−7, 5}
Write an Equivalent Expression that reveals all zeros to the following:
-2x2+12x-10
-2(d-1)(d-5)
The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156.
Write a system of equations
Let s = number of sundaes
B= number of banana splits
s= b+8
b + s =156
Write the equation of the parabola that reflects over the x-axis and shifts right 3.
-(x-3)2
Solve the following system of equations to solve for x and y.
-4x-2y=-12
4x+8y=-24
x=6, y=-6
2(x2+6x-4)=2(x+10)
(x=-7) (x=2)
Write and Equivalent Expression that reveals all zeros to the following:
(x-3)2+x-23
x(x-7)(x+2)
Mark exercised on a treadmill for 1 hour. He walked and then jogged. He wanted to find out what fraction of the hour he spent walking and what fraction of the hour he spent jogging. He walked at 3 mph and jogged at 7 mph and went for a total of 6 miles. Let x = time walking and y = time jogging. Make a system of equations that can represent this situation.
3x+7y=6
x+y=1
Write in words where the parabola shifts:
f(x)=(x-2)2+1
Right 2 and up 1
Solve the following system of equations to solve for x and y.
9𝑥 − 6𝑦 = −36
12𝑥 − 3𝑦 = −78
x=−8,y= −6
6(x2+5x-35)=6(3x)
x=-7 and 5
Write an Equivalent Expression that reveals all zeros to the following:
-12x2-11x+15
(-4x+3)(3x+5)
Leah would like to earn $120 per month. She babysits for $5 per hour and works at the ice cream shop for $8 per hour. Leah cannot work more than 20 hours per month. Write a system of equation where x represents the number of hours babysitting and y represents the number of hours at the ice cream shop.
5x+8y=120
x+y=20
The graph of the function: h(x) is the result of reflecting the graph of f(x) over the x-axis and then translating up 3 units. Write the equation.
h(x)= -x2+3
Solve the following system of equations to solve for x and y.
-3x+7y=-16
-9x+5y=16
x=-4, y=-4