x+5= 12
7
Suzanne made a withdrawal of d dollars from her savings account. Her old balance was $350, and her new balance is $280. Write an equation for the given data.
350 – d = 280
Solve for x in the system: y= 3x-5 and y= 4x+9.
x=-14
Solve: u2−5u−14=0
u = -2, 7
f(x) = 3x + 2, f(5) = y. What is y?
y=17
2x-9=7
x=8
:An ice cream cone costs $3 plus 6% sales tax. How many ice cream cones can be purchased for $24?
[x2]
7
What is the value of x in the following system of equations: 2x+5y=11, 4x-2y=-14.
x=-2
Solve : z2−16z+61 = 2z−20
z= 9
f(x) = 3x2 + 6x + 9, f(0) = y. What is y?
y= 9
3(x−2)=2x+1
x=7
In an examination, 300 students appeared. Out of these students; 28 % got first division, 54 % got second division and the remaining just passed. Assuming that no student failed; find the number of students who just passed.
54
What are the values of x and y in the following system of equations:
[2x + 3y = 6, 4x - y = 5]
x = 1.5, y = 1
Solve: x2+15x = -50
x = -5, -10
f(x) = 5x + 3, g(x) = 2x + 7, f(g(3)) = y. What is y?
y= 68
7-0.03x=1.72x+1.75
x=3
The sum of 3 consecutive even numbers is 96. What is the largest number?
34
What are the values of x and y in the following system of equations (express as a radical in SIMPLEST form):
[x2+ y2= 25, x2 - y2 = 9]
x = sqrt(17) , y = 2 sqrt(2)
Solve: 9x2-16 = 0
x = -4/3, 4/3
Two functions are given below. How many solutions does the system have?
f(x) = 3x + 2, f(x) = 5x - 4
1
Solve for x: 2( 3x + 1 ) + 3( 5x + 2 ) = x - 1 .
x=-9/20
You are saving for a skateboard worth $125. Your aunt gives you $45 to start and you save $3 each week. The expression 45 + 3w gives the amount of money you save after w weeks. How much will you have after 4 weeks, 10 weeks, and 20 weeks? After 20 weeks, can you buy the skateboard?
$57 - 4 weeks ,$75-10 weeks ,$105 -20 weeks and no you can not buy it.
What are the values of x and y in the following system of equations (express as a radical in SIMPLEST form):
[x2+ y2 = 25, x2 - 2y2 = 1]
x = sqrt(17) , y = 2 sqrt(2)
Solve: 2x2 - 8x + 6 = 0
x = 1, 3
f(x) = 4x - 8
a). What is f-1(x) b). What is f-1(3)
a) f-1(x) = 1/4x + 2
b) 11/4