Solve for x
Word problems
System of equations
Quadratics
Functions
100

x+5= 12

7

100

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

100

Solve for x in the system: y= 3x-5 and y= 4x+9.

x=-14

100

Solve: u2−5u−14=0

u = -2, 7

100

f(x) = 3x + 2, f(5) = y. What is y?

y=17

200

2x-9=7

x=8

200

:An ice cream cone costs $3 plus 6% sales tax. How many ice cream cones can be purchased for $24?


[x2]

7

200

What is the value of x in the following system of equations: 2x+5y=11, 4x-2y=-14.

x=-2

200

Solve : z2−16z+61 = 2z−20

 z= 9

200

 f(x) = 3x2 + 6x + 9, f(0) = y. What is y?

y= 9

300

 3(x−2)=2x+1

x=7

300

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

300

 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

300

Solve: x2+15x = -50

 x = -5, -10

300

f(x) = 5x + 3, g(x) = 2x + 7, f(g(3)) = y. What is y?

y= 68

400

 7-0.03x=1.72x+1.75

x=3

400

The sum of 3 consecutive even numbers is 96. What is the largest number?

34

400

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)

400

Solve: 9x2-16 = 0

 x = -4/3, 4/3

400

Two functions are given below. How many solutions does the system have? 

f(x) = 3x + 2, f(x) = 5x - 4

 1

500

Solve for x: 2( 3x + 1 ) + 3( 5x + 2 ) = x - 1 .

x=-9/20

500

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.

500

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)

500

 Solve: 2x2 - 8x + 6 = 0

x = 1, 3

500

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