Algebra Mixed Review

Solving Equations

100

Solve.

5x+7=52

x=9

200

Solve.

5x-14=8x+4

x= -6

300

Solve.

-4(-6x-3)=12

x=0

400

Solve.

2(4x-3)-8=4+2x

x=3

500

Solve.

24x-22=-4(1-6x)

No solution

Linear Equations

100

Find the slope and y-intercept.

y=1/3x+5

m=1/3

b=5

200

Find the slope and y-intercept.

2x+3y=18

m=-2/3

b=6

300

Write the equation of the line that passes through the points (0,8) and (2,4)

y=-2x+8

400

Write an equation that passes through the points (1,3) and (2,6)

y=3x

500

Solve the system.

y=2x+1

x-2y=-8

(2,5)

Quadratic Equations

100

What do you call the shape of a quadratic graph?

Parabola

200

Find the axis of symmetry and the vertex.

f(x)=2x^2+8x-5

axis of symmetry: x= -2

vertex:  (-2,-13)

300

Compare the graph to the parent function.

f(x)=2x^2+5

Vertical stretch of 2

Vertical translation up 5

400

Compare the graph to the parent function.

f(x)=-1/3x^2-4

Vertical shrink of 1/3

Vertical translation down 4

Reflection in x-axis

500

Find the zeros of the function.

f(x)=4x^2-25

Zeros: -2.5 and 2.5

Financial Algebra

100

What type of slope does a demand function have?

Negative slope

200

What is it called when the supply and demand functions intersect?

Equilibrium

300

The wholesale cost of a computer is $700 and it has a markup of 30%.

What is the retail price of the computer?

$910

400

The variable cost to manufacture an item is $4 per item. The fixed costs are $3,000.

Write an expense function.

E=4q+3000

500

The expense function for a widget is 

E=2x+3000

What is the average cost of a widget if 2000 widgets are produced?

$3.50

Inequalities

100

Solve.

4x+1<13

x<3

200

Solve.

2(x-7)> -24

x>-5

300

Solve.

x-6<15+8x

x> -3

400

Solve.

28-x>7(x-4)

x<7

500

Solve.

2(3x+1)<14-6x

x<1